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quant-ph/0009089
Nikolaos Mavromatos
N.E. Mavromatos (King's College London)
Cell Microtubules as Cavities: Quantum Coherence and Energy Transfer?
7 pages LATEX. Invited talk at the 2000 International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences, Monte Carlo Resort, Las Vegas (USA), June 26-29 2000, published in the proceedings
null
null
null
quant-ph physics.bio-ph
null
A model is presented for dissipationless energy transfer in cell microtubules due to quantum coherent states. The model is based on conjectured (hydrated) ferroelectric properties of microtubular arrangements. Ferroelectricity is essential in providing the necessary isolation against thermal losses in thin interior regions, full of ordered water, near the tubulin dimer walls of the microtubule. These play the role of cavity regions, which are similar to electromagnetic cavities of quantum optics. As a result, the formation of (macroscopic) quantum coherent states of electric dipoles on the tubulin dimers may occur. Some experiments, inspired by quantum optics, are suggested for the falsification of this scenario.
2007-05-23
quant-ph/0101019
Dr Matthew J. Donald
Matthew J. Donald
A review of Johnjoe McFadden's book ``Quantum Evolution''
11 pages, plain TeX
null
null
null
quant-ph physics.bio-ph
null
In ``Quantum Evolution: Life in the Multiverse'' (HarperCollins, 2000), ISBN 0-00-255948-X, 0-00-655128-9, Johnjoe McFadden makes far-reaching claims for the importance of quantum physics in the solution of problems in biological science. In this review, I discuss the relevance of unitary wavefunction dynamics to biological systems, analyse the inverse quantum Zeno effect, and argue that McFadden's use of quantum theory is deeply flawed.
2007-05-23
quant-ph/0102034
Apoorva D. Patel
Apoorva Patel (CTS and SERC, IISc, Bangalore)
Testing Quantum Dynamics in Genetic Information Processing
4 pages, latex. (v2) Several points elaborated. Published version, formatted according to the journal style
Journal of Genetics 80 (2001) 39-43
null
IISc-CTS-4/01
quant-ph physics.bio-ph q-bio.GN
null
Does quantum dynamics play a role in DNA replication? What type of tests would reveal that? Some statistical checks that distinguish classical and quantum dynamics in DNA replication are proposed.
2007-05-23
quant-ph/0103017
Apoorva D. Patel
Apoorva Patel (CTS and SERC, IISc, Bangalore)
Carbon--The First Frontier of Information Processing
(v1) 9 pages, revtex. (v2) 10 pages. Several arguments expanded to make the article self-contained and to increase clarity. Applications pointed out. (v3) 11 pages. Published version. Well-known properties of proteins shifted to an appendix. Reformatted according to journal style
Journal of Biosciences 27 (2002) 207-218
null
IISc-CTS-8/01
quant-ph cond-mat physics.bio-ph q-bio.BM
null
Information is often encoded as an aperiodic chain of building blocks. Modern digital computers use bits as the building blocks, but in general the choice of building blocks depends on the nature of the information to be encoded. What are the optimal building blocks to encode structural information? This can be analysed by substituting the operations of addition and multiplication of conventional arithmetic with translation and rotation. It is argued that at the molecular level, the best component for encoding discretised structural information is carbon. Living organisms discovered this billions of years ago, and used carbon as the back-bone for constructing proteins that function according to their structure. Structural analysis of polypeptide chains shows that an efficient and versatile structural language of 20 building blocks is needed to implement all the tasks carried out by proteins. Properties of amino acids indicate that the present triplet genetic code was preceded by a more primitive one, coding for 10 amino acids using two nucleotide bases.
2007-05-23
quant-ph/0103085
Azhar Iqbal
A.Iqbal and A.H.Toor
Darwinism in quantum systems?
Revised in the light of referee's comments. To appear in Physics Letters A. LaTex, 15 pages, 1 figure
Physics Letters, A 294/5-6 (2002) pp. 261-270
10.1016/S0375-9601(02)00067-1
null
quant-ph nlin.AO physics.bio-ph
null
We investigate the role of quantum mechanical effects in the central stability concept of evolutionary game theory i.e. an Evolutionarily Stable Strategy (ESS). Using two and three-player symmetric quantum games we show how the presence of quantum phenomenon of entanglement can be crucial to decide the course of evolutionary dynamics in a population of interacting individuals.
2009-11-07
quant-ph/0105001
Apoorva D. Patel
Apoorva Patel (CTS and SERC, IISc, Bangalore)
Why Genetic Information Processing could have a Quantum Basis
6 pages, latex, formatted according to journal style. This is an introductory article, aimed at biologists. (v2) Minor grammatical changes. Title slightly modified. Published version
Journal of Biosciences 26 (2001) 145-151
null
IISc-CTS-5/01
quant-ph physics.bio-ph q-bio.GN
null
Living organisms are not just random collections of organic molecules. There is continuous information processing going on in the apparent bouncing around of molecules of life. Optimisation criteria in this information processing can be searched for using the laws of physics. Quantum dynamics can explain why living organisms have 4 nucleotide bases and 20 amino acids, as optimal solutions of the molecular assembly process. Experiments should be able to tell whether evolution indeed took advantage of quantum dynamics or not.
2007-05-23
quant-ph/0106123
Mikhail Altaisky
M.V.Altaisky and F.P.Filatov
Genetic information and quantum gas
LaTeX, 3 pages
null
null
null
quant-ph physics.bio-ph q-bio.BM
null
Possible explanation of the 64/20 redundancy of the triplet genetic code based on the assumption of quantum nature of genetic information is proposed.
2007-05-23
quant-ph/0110084
H. N. M. Gheorghiu
S. Gheorghiu-Svirschevski
From Davydov solitons to decoherence-free subspaces: self-consistent propagation of coherent-product states
revtex3, latex2e; 22 pages, no figs.; to appear in Phys.Rev.E (Nov.2001)
null
10.1103/PhysRevE.64.051907
null
quant-ph cond-mat.stat-mech physics.bio-ph
null
The self-consistent propagation of generalized $D_{1}$ [coherent-product] states and of a class of gaussian density matrix generalizations is examined, at both zero and finite-temperature, for arbitrary interactions between the localized lattice (electronic or vibronic) excitations and the phonon modes. It is shown that in all legitimate cases, the evolution of $D_{1}$ states reduces to the disentangled evolution of the component $D_{2}$ states. The self-consistency conditions for the latter amount to conditions for decoherence-free propagation, which complement the $D_{2}$ Davydov soliton equations in such a way as to lift the nonlinearity of the evolution for the on-site degrees of freedom. Although it cannot support Davydov solitons, the coherent-product ansatz does provide a wide class of exact density-matrix solutions for the joint evolution of the lattice and phonon bath in compatible systems. Included are solutions for initial states given as a product of a [largely arbitrary] lattice state and a thermal equilibrium state of the phonons. It is also shown that external pumping can produce self-consistent Frohlich-like effects. A few sample cases of coherent, albeit not solitonic, propagation are briefly discussed.
2009-11-07
quant-ph/0202015
Fariel Shafee
Fariel Shafee
Semiclassical Neural Network
8 pages 2 figures; new sections and figures added on short term memory and period
stochastics and dynamics, Vol. 7, No. 3 (2007) 403-416
null
null
quant-ph cond-mat.dis-nn cs.AI q-bio
null
We have constructed a simple semiclassical model of neural network where neurons have quantum links with one another in a chosen way and affect one another in a fashion analogous to action potentials. We have examined the role of stochasticity introduced by the quantum potential and compare the system with the classical system of an integrate-and-fire model by Hopfield. Average periodicity and short term retentivity of input memory are noted.
2007-10-11
quant-ph/0202016
Fariel Shafee
Fariel Shafee
Neural Networks with c-NOT Gated Nodes
4 pages 6 figures; minor corrections made; clearer explanations added; Engineering Applications of Artificial Intelligence, online Nov 1, 2006
null
null
null
quant-ph cond-mat.dis-nn cs.AI q-bio
null
We try to design a quantum neural network with qubits instead of classical neurons with deterministic states, and also with quantum operators replacing teh classical action potentials. With our choice of gates interconnecting teh neural lattice, it appears that the state of the system behaves in ways reflecting both the strengths of coupling between neurons as well as initial conditions. We find that depending whether there is a threshold for emission from excited to ground state, the system shows either aperiodic oscillations or coherent ones with periodicity depending on the strength of coupling.
2007-05-23
quant-ph/0202022
Apoorva D. Patel
Apoorva Patel (CTS and SERC, IISc, Bangalore)
Mathematical Physics and Life
20 pages, latex, Review article to appear in {\it Computing and Information Sciences: Recent Trends}, ed. J.C.Misra, Narosa Publishing House. (v2) Typos corrected, published version, p.271-294 (2003)
null
null
IISc-CTS-1/02
quant-ph cond-mat physics.bio-ph q-bio.BM
null
It is a fascinating subject to explore how well we can understand the processes of life on the basis of fundamental laws of physics. It is emphasised that viewing biological processes as manipulation of information extracts their essential features. This information processing can be analysed using well-known methods of computer science. The lowest level of biological information processing, involving DNA and proteins, is the easiest one to link to physical properties. Physical underpinnings of the genetic information that could have led to the universal language of 4 nucleotide bases and 20 amino acids are pointed out. Generalisations of Boolean logic, especially features of quantum dynamics, play a crucial role.
2007-05-23
quant-ph/0204021
Nikolaos Mavromatos
N.E. Mavromatos (King's Coll. London), A. Mershin and D.V. Nanopoulos (Texas A and M Univ.)
QED-Cavity model of microtubules implies dissipationless energy transfer and biological quantum teleportation
20 pages LATEX, three ps figures incorporated
Int. J. Modern Physics B 16 No 24, p3623-3642 (2002)
10.1142/S0217979202011512
null
quant-ph cond-mat.dis-nn physics.bio-ph
null
We refine a QED-cavity model of microtubules (MTs), proposed earlier by two of the authors (N.E.M. and D.V.N.), and suggest mechanisms for the formation of biomolecular mesoscopic coherent and/or entangled quantum states, which may avoid decoherence for times comparable to biological characteristic times. This refined model predicts dissipationless energy transfer along such "shielded" macromolecules at near room temperatures as well as quantum teleportation of states across MTs and perhaps neurons.
2009-11-07
quant-ph/0205161
Diederik Aerts
Liane Gabora and Diederik Aerts
Contextualizing Concepts using a Mathematical Generalization of the Quantum Formalism
44 pages
Journal of Experimental and Theoretical Artificial Intelligence, 14, pp. 327-358 (2002)
null
null
quant-ph cs.AI q-bio.NC
null
We outline the rationale and preliminary results of using the State Context Property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe the contextual manner in which concepts are evoked, used, and combined to generate meaning. The quantum formalism was developed to cope with problems arising in the description of (1) the measurement process, and (2) the generation of new states with new properties when particles become entangled. Similar problems arising with concepts motivated the formal treatment introduced here. Concepts are viewed not as fixed representations, but entities existing in states of potentiality that require interaction with a context--a stimulus or another concept--to 'collapse' to an instantiated form (e.g. exemplar, prototype, or other possibly imaginary instance). The stimulus situation plays the role of the measurement in physics, acting as context that induces a change of the cognitive state from superposition state to collapsed state. The collapsed state is more likely to consist of a conjunction of concepts for associative than analytic thought because more stimulus or concept properties take part in the collapse. We provide two contextual measures of conceptual distance--one using collapse probabilities and the other weighted properties--and show how they can be applied to conjunctions using the pet fish problem
2013-11-02
quant-ph/0206014
Apoorva D. Patel
Apoorva Patel (CTS and SERC, IISc, Bangalore)
Survival of the Fittest and Zero Sum Games
6 pages, formatted according to journal style. Special Issue on Game Theory and Evolutionary Processes. (v2) Published version. Some clarifications added. Topological interpretation pointed out
Fluctuation and Noise Letters 2 (2002) L279-L284
null
IISc-CTS-5/02
quant-ph physics.bio-ph q-bio.PE
null
Competition for available resources is natural amongst coexisting species, and the fittest contenders dominate over the rest in evolution. The dynamics of this selection is studied using a simple linear model. It has similarities to features of quantum computation, in particular conservation laws leading to destructive interference. Compared to an altruistic scenario, competition introduces instability and eliminates the weaker species in a finite time.
2007-05-23
quant-ph/0208068
Maoxin Wu
Huping Hu, Maoxin Wu
Spin-Mediated Consciousness: Theory, Experimental Studies, Further Development & Related Topics
92 pages; expanded content; minor corrections; for additional information, please visit http://quantumbrain.org
Medical Hypotheses (2004) 63(4): 633-646
null
BCG-01-2002
quant-ph cond-mat physics.bio-ph
null
We postulate that consciousness is intrinsically connected to quantum spin since the latter is the origin of quantum effects in both Bohm and Hestenes quantum formulisms and a fundamental quantum process associated with the structure of space-time. Applying these ideas to the particular structures and dynamics of the brain, we have developed a detailed model of quantum consciousness. We have also carried out experiments from the perspective of our theory to test the possibility of quantum-entangling the quantum entities inside the brain with those of an external chemical substance. We found that applying magnetic pulses to the brain when an anaesthetic was placed in between caused the brain to feel the effect of said anaesthetic as if the test subject had actually inhaled the same. We further found that drinking water exposed to magnetic pulses, laser light or microwave when an anaesthetic was placed in between also causes brain effects in various degrees. Additional experiments indicate that the said brain effect is indeed the consequence of quantum entanglement. Recently we have studied non-local effects in simple physics systems. We have found that the pH value, temperature and gravity of a liquid in the detecting reservoirs can be non-locally affected through manipulating another liquid in a remote reservoir quantum-entangled with the former. In particular, the pH value changes in the same direction as that being manipulated; the temperature can change against that of local environment; and the gravity can change against local gravity. We suggest that they are mediated by quantum entanglement between nuclear and/or electron spins in treated liquid and discuss the profound implications of these results. This paper now also includes materials on further development of the theory and related topics.
2007-11-08
quant-ph/0208104
Martin Lopez Corredoira
M. Lopez-Corredoira
Quantum mechanics and free will: counter-arguments
postscript or pdf, 10 pages, to be published in "The Journal of Non-Locality and Remote Mental Interactions"
Neuroquantology, 7(3), 449 [2009]
null
null
quant-ph physics.bio-ph physics.pop-ph
null
Since quantum mechanics (QM) was formulated, many voices have claimed this to be the basis of free will in the human beings. Basically, they argue that free will is possible because there is an ontological indeterminism in the natural laws, and that the mind is responsible for the wave function collapse of matter, which leads to a choice among the different possibilities for the body. However, I defend the opposite thesis, that free will cannot be defended in terms of QM. First, because indeterminism does not imply free will, it is merely a necessary condition but not enough to defend it. Second, because all considerations about an autonomous mind sending orders to the body is against our scientific knowledge about human beings; in particular, neither neurological nor evolutionary theory can admit dualism. The quantum theory of measurement can be interpreted without the intervention of human minds, but other fields of science cannot contemplate the mentalist scenario, so it is concluded that QM has nothing to say about the mind or free will, and its scientific explanation is more related to biology than to physics. A fatalistic or materialist view, which denies the possibility of a free will, makes much more sense in scientific terms.
2010-09-07
quant-ph/0209047
Rui Qi
Rui Qi
A quantum method to test the existence of consciousness
5 pages, no figures
null
null
null
quant-ph physics.bio-ph
null
As we know, "Who can be said to be a conscious being?" is one of the hard problems in present science, and no method has been found to strictly differentiate the conscious being from the being without consciousness or usual matter. In this short paper, we present a strict physical method based on revised quantum dynamics to test the existence of consciousness, and the principle is to use the distinguishability of nonorthogonal single states. We demonstrate that although the dynamical collapse time can't be measured by a physical measuring device, a conscious being can perceive it under the assumed QSC condition, thus can distinguish the nonorthogonal single states in the framework of revised quantum dynamics This in principle provides a quantum method to differentiate man and machine, or to test the existence of consciousness. We further discuss the rationality of the assumed QSC condition, and denote that some experimental evidences have indicated that our human being can satisfy the condition. This not only provides some confirmation of our method, but also indicates that the method is a practical proposal, which can be implemented in the near future experiments.
2007-05-23
quant-ph/0210176
Carlo A. Trugenberger
Carlo A. Trugenberger
Quantum Pattern Recognition
Invited Talk at the 1st Feynman Festival, Univ. of Maryland, College Park, August 2002
null
null
null
quant-ph cond-mat.dis-nn cs.IR nlin.AO q-bio.NC
null
I review and expand the model of quantum associative memory that I have recently proposed. In this model binary patterns of n bits are stored in the quantum superposition of the appropriate subset of the computational basis of n qbits. Information can be retrieved by performing an input-dependent rotation of the memory quantum state within this subset and measuring the resulting state. The amplitudes of this rotated memory state are peaked on those stored patterns which are closest in Hamming distance to the input, resulting in a high probability of measuring a memory pattern very similar to it. The accuracy of pattern recall can be tuned by adjusting a parameter playing the role of an effective temperature. This model solves the well-known capacity shortage problem of classical associative memories, providing an exponential improvement in capacity. The price to pay is the probabilistic nature of information retrieval, a feature that, however, this model shares with our own brain.
2007-05-23
quant-ph/0211105
Marek Czachor
D. Aerts, M. Czachor, L. Gabora, M. Kuna, A. Posiewnik, J. Pykacz, M. Syty
Quantum morphogenesis: A variation on Thom's catastrophe theory
published version
Phys. Rev. E 67, 051926 (2003)
10.1103/PhysRevE.67.051926
null
quant-ph q-bio.QM
null
Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, psychological) situations. In a Hilbert space model states, understood as correlations between all the possible propositions, are represented by density matrices. If systems in question interact via feedback with environment their dynamics is nonlinear. Nonlinear evolutions of density matrices lead to phenomena of morphogenesis which may occur in non-commutative systems. Several explicit exactly solvable models are presented, including `birth and death of an organism' and `development of complementary properties'.
2009-11-07
quant-ph/0301075
Chris Adami
Charles Ofria (Michigan State University), Christoph Adami (JPL, Caltech), Travis C. Collier (UCLA)
Selective pressures on genomes in molecular evolution
16 pages, 3 figures, to be published in J. theor. Biology
J. theor. Biol. 222 (2003) 477-483
10.1016/S0022-5193(03)00062-6
null
quant-ph cs.NE nlin.AO physics.bio-ph q-bio.PE
null
We describe the evolution of macromolecules as an information transmission process and apply tools from Shannon information theory to it. This allows us to isolate three independent, competing selective pressures that we term compression, transmission, and neutrality selection. The first two affect genome length: the pressure to conserve resources by compressing the code, and the pressure to acquire additional information that improves the channel, increasing the rate of information transmission into each offspring. Noisy transmission channels (replication with mutations) gives rise to a third pressure that acts on the actual encoding of information; it maximizes the fraction of mutations that are neutral with respect to the phenotype. This neutrality selection has important implications for the evolution of evolvability. We demonstrate each selective pressure in experiments with digital organisms.
2007-05-23
quant-ph/0306158
Apoorva D. Patel
Apoorva Patel (CHEP and SERC, IISc, Bangalore)
Information Processing beyond Quantum Computation
6 pages, revtex, pedagogical write-up based on talk presented at the National Conference on Quantum Computing (NQC-2002), Gwalior, October 2002 (v2) Possible directions for future development are pointed out. Presented at the First World Congress on Lateral Computing (WCLC 2004), Bangalore, December 2004
null
null
IISc-CTS-3/03
quant-ph cond-mat cs.DM physics.bio-ph
null
Recent developments in quantum computation have made it clear that there is a lot more to computation than the conventional Boolean algebra. Is quantum computation the most general framework for processing information? Having gathered the courage to go beyond the traditional definitions, we are now in a position to answer: Certainly not. The meaning of a message being ``a collection of building blocks'' can be explored in a variety of situations. A generalised framework is proposed based on group theory, and it is illustrated with well-known physical examples. A systematic information theoretical approach is yet to be developed in many of these situations. Some directions for future development are pointed out.
2007-05-23
quant-ph/0401127
Przemyslaw Gralewicz
P. Gralewicz
Quantum computing in neural networks
Minor changes, improved discussion, added references, 10 pages, 4 eps figures, LaTeX2e
null
null
null
quant-ph q-bio.NC
null
According to the statistical interpretation of quantum theory, quantum computers form a distinguished class of probabilistic machines (PMs) by encoding n qubits in 2n pbits (random binary variables). This raises the possibility of a large-scale quantum computing using PMs, especially with neural networks which have the innate capability for probabilistic information processing. Restricting ourselves to a particular model, we construct and numerically examine the performance of neural circuits implementing universal quantum gates. A discussion on the physiological plausibility of proposed coding scheme is also provided.
2007-05-23
quant-ph/0401140
Gombojav Ariunbold O.
G.O. Ariunbold, G.S. Agarwal, Z. Wang, H. Walther and M.O. Scully
Nanosecond Dynamics of Single-Molecule Fluorescence Resonance Energy Transfer
8 pages, 1 figure. accepted to J.Phys.Chem.B
null
10.1021/jp037609h
null
quant-ph physics.bio-ph
null
Motivated by recent experiments on photon statistics from individual dye pairs planted on biomolecules and coupled by fluorescence resonance energy transfer (FRET), we show here that the FRET dynamics can be modelled by Gaussian random processes with colored noise. Using Monte-Carlo numerical simulations, the photon intensity correlations from the FRET pairs are calculated, and are turned out to be very close to those observed in experiment. The proposed stochastic description of FRET is consistent with existing theories for microscopic dynamics of the biomolecule that carries the FRET coupled dye pairs.
2016-09-28
quant-ph/0406157
Taksu Cheon
Taksu Cheon
Altruistic Contents of Quantum Prisoner's Dilemma
Revised according to publisher's request: 4 pgs, 2 fgs, ReVTeX4. For more info, go to http://www.mech.kochi-tech.ac.jp/cheon/
Europhysics Letters 69 (2005) 149-155
10.1209/epl/i2004-10343-x
null
quant-ph cond-mat.mes-hall math-ph math.MP q-bio.PE
null
We examine the classical contents of quantum games. It is shown that a quantum strategy can be interpreted as a classical strategies with effective density-dependent game matrices composed of transposed matrix elements. In particular, successful quantum strategies in dilemma games are interpreted in terms of a symmetrized game matrix that corresponds to an altruistic game plan.
2009-02-27
quant-ph/0406161
Giuseppe Vitiello
Eliano Pessa, Giuseppe Vitiello
Quantum noise induced entanglement and chaos in the dissipative quantum model of brain
14 pages
Int. J. Mod. Phys. B 18 (2004) 841-858
10.1142/S0217979204024045
null
quant-ph q-bio.OT
null
We discuss some features of the dissipative quantum model of brain in the frame of the formalism of quantum dissipation. Such a formalism is based on the doubling of the system degrees of freedom. We show that the doubled modes account for the quantum noise in the fluctuating random force in the system-environment coupling. Remarkably, such a noise manifests itself through the coherent structure of the system ground state. The entanglement of the system modes with the doubled modes is shown to be permanent in the infinite volume limit. In such a limit the trajectories in the memory space are classical chaotic trajectories.
2009-11-10
quant-ph/0409071
Ciro Minichini
C. Minichini and A. Sciarrino
Quantum spin model fitting the Yule distribution of oligonucleotides in DNA
12 pages, 4 figures
null
null
DSF 29/2004
quant-ph q-bio.BM
null
A quantum spin chain is identified by the labels of a vector state of a Kashiwara crystal basis. The intensity of the one-spin flip is assumed to depend from the variation of the labels. The rank ordered plot of the numerically computed, averaged in time, transition probabilities is nicely fitted by a Yule distribution, which is the observed distribution of the ranked short oligonucleotides frequency in DNA.
2007-05-23
quant-ph/0412170
Joel Gilmore
Joel Gilmore and Ross H. McKenzie
Criteria for quantum coherent transfer of excitons between chromophores in a polar solvent
5 pages, 2 figures
null
null
null
quant-ph cond-mat.other q-bio.BM q-bio.OT
null
We show that the quantum decoherence of Forster resonant energy transfer between two optically active molecules can be described by a spin-boson model. This allows us to give quantitative criteria, in terms of experimentally measurable system parameters, that are necessary for coherent Bloch oscillations of excitons between the chromophores. Experimental tests of our results should be possible with Flourescent Resonant Energy Transfer (FRET) spectroscopy. Although we focus on the case of protein-pigment complexes our results are also relevant to quantum dots and organic molecules in a dielectric medium.
2007-05-23
quant-ph/0503233
Taksu Cheon
Taksu Cheon and Izumi Tsutsui
Classical and Quantum Contents of Solvable Game Theory on Hilbert Space
4 Pages, REVTeX, 3 Figures, 1 Table. Abstract, introduction and conclusion are revised. For higher resolution figures, go to http://www.mech.kochi-tech.ac.jp/cheon/index_j.html
Physics Letters A 348 (2006) 147-152
10.1016/j.physleta.2005.08.066
null
quant-ph cond-mat.other math-ph math.MP nlin.CD nlin.SI physics.bio-ph
null
A simple and general formulation of the quantum game theory is presented, accommodating all possible strategies in the Hilbert space for the first time. The theory is solvable for the two strategy quantum game, which is shown to be equivalent to a family of classical games supplemented by quantum interference. Our formulation gives a clear perspective to understand why and how quantum strategies outmaneuver classical strategies. It also reveals novel aspects of quantum games such as the stone-scissor-paper phase sub-game and the fluctuation-induced moderation.
2016-09-08
quant-ph/0509042
Fred Thaheld H
Fred H. Thaheld
Does consciousness really collapse the wave function? A possible objective biophysical resolution of the measurement problem
36 pages, 5 figures, Comment and references added to Sec. 4 regarding whether Spontaneous Localization or decoherence can lead to a single subjective outcome in the visual cortex
BioSystems 81 (2005) 113-124
null
null
quant-ph q-bio.NC
null
An analysis has been performed of the theories and postulates advanced by von Neumann, London and Bauer, and Wigner, concerning the role that consciousness might play in the collapse of the wave function, which has become known as the measurement problem. This reveals that an error may have been made by them in the area of biology and its interface with quantum mechanics, when they called for the reduction of any superposition states in the brain through the mind or consciousness. Many years later Wigner changed his mind to reflect a simpler and more realistic objective position, expanded upon by Shimony, which appears to offer a way to resolve this issue. The argument is therefore made that the wave function of any superposed photon state or states is always objectively changed within the complex architecture of the eye in a continuous linear process initially for most of the superposed photons, followed by a discontinuous nonlinear collapse process later for any remaining superposed photons, thereby guaranteeing that only final, measured information is presented to the brain, mind or consciousness. An experiment to be conducted in the near future may enable us to simultaneously resolve the measurement problem and also determine if the linear nature of quantum mechanics is violated by the perceptual process.
2007-05-23
quant-ph/0602144
Tetsuo Matsui
Takashi Hiramatsu, Tetsuo Matsui, and Kazuhiko Sakakibara
Self-Reduction Rate of a Microtubule
7 pages, 9 figures, Extended version
International Journal of Modern Physics C19(2008)291-305.
10.1142/S0129183108012194
null
quant-ph q-bio.NC q-bio.SC
null
We formulate and study a quantum field theory of a microtubule, a basic element of living cells. Following the quantum theory of consciousness by Hameroff and Penrose, we let the system to reduce to one of the classical states without measurement if certain conditions are satisfied(self-reductions), and calculate the self-reduction time $\tau_N$ (the mean interval between two successive self-reductions) of a cluster consisting of more than $N$ neighboring tubulins (basic units composing a microtubule). $\tau_N$ is interpreted there as an instance of the stream of consciousness. We analyze the dependence of $\tau_N$ upon $N$ and the initial conditions, etc. For relatively large electron hopping amplitude, $\tau_N$ obeys a power law $\tau_N \sim N^b$, which can be explained by the percolation theory. For sufficiently small values of the electron hopping amplitude, $\tau_N$ obeys an exponential law, $\tau_N \sim \exp(c' N)$. By using this law, we estimate the condition for $\tau_N $ to take realistic values $\tau_N$ \raisebox{-0.5ex}{$\stackrel{>}{\sim}$} $10^{-1}$ sec as $N$ \raisebox{-0.5ex} {$\stackrel{>}{\sim}$} 1000.
2008-09-08
quant-ph/0602190
Fred Thaheld H
Fred H. Thaheld
Comment on "Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics"
A comment on quant-ph/0506199 v3, 5 pages
null
null
null
quant-ph q-bio.NC
null
Schlosshauer has advanced a theory of minimal no-collapse quantum mechanics for a decoherence-based subjective resolution of the measurement problem. The basic premise being that superposition states are maintained beyond the retinal apparatus, becoming correlated with neuronal arrays located in the occipital lobe of the brain. Decoherence for these neurons in a superposition of firing and resting, leads to an irreversible dynamical decoupling of the two branches, resulting in the emergence of a single subjective perception. Based upon prior retinal research, it is shown that his theory is untenable for several reasons.
2007-05-23
quant-ph/0604181
Fred Thaheld H
Fred H. Thaheld
The argument for an objective wave function collapse: Why spontaneous localization collapse or no-collapse decoherence cannot solve the measurement problem in a subjective fashion
8 pages, no figures
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quant-ph physics.bio-ph
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A more detailed analysis of the measurement problem continues to support the position taken by Shimony and the author that collapse of the wave function takes place in an objective manner in the rhodopsin molecule of the retina. This casts further doubts on the theories involving a spontaneous localization collapse process or a no-collapse decoherence process taking place in the visual cortex in a subjective fashion. The possibility is then raised, as per Anandan, as to whether the solution of the measurement problem in quantum theory allows one to address the problem of quantizing gravitation.
2007-05-23
quant-ph/0607127
Fred Thaheld H
Fred H. Thaheld
A modified approach to the measurement problem: Objective reduction in the retinal molecule prior to conformational change
8 pages. A new theory is advanced where the collapse of the wave function now takes place within the retinal molecule, specifically the retinal chromophore. This occurs prior to any retinal molecule conformational change and before any CSL-type reduction mechanism in the retinal rod cells
BioSystems 92 (2008) 114-116
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quant-ph physics.bio-ph
null
A new analysis of the measurement problem reveals the possibility that collapse of the wavefunction may now take place just before photoisomerization of the rhodopsin molecule in the retinal rods. It is known that when a photon is initially absorbed by the retinal molecule which, along with opsin comprises the rhodopsin molecule, an electron in the highest pi orbital is immediately excited to a pi* orbital. This means that a measurement or transfer of information takes place at the quantum level before the retinal molecule commences the conformational change from cis to trans. This could have profound implications for resolving some of the foundational issues confronting quantum mechanics.
2008-04-17
quant-ph/0609216
Rolando Somma
Rolando D. Somma, Cristian D. Batista, Gerardo Ortiz
A Quantum Approach to Classical Statistical Mechanics
4 pages, no figures
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10.1103/PhysRevLett.99.030603
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quant-ph cond-mat.other cond-mat.stat-mech q-bio.OT
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We present a new approach to study the thermodynamic properties of $d$-dimensional classical systems by reducing the problem to the computation of ground state properties of a $d$-dimensional quantum model. This classical-to-quantum mapping allows us to deal with standard optimization methods, such as simulated and quantum annealing, on an equal basis. Consequently, we extend the quantum annealing method to simulate classical systems at finite temperatures. Using the adiabatic theorem of quantum mechanics, we derive the rates to assure convergence to the optimal thermodynamic state. For simulated and quantum annealing, we obtain the asymptotic rates of $T(t) \approx (p N) /(k_B \log t)$ and $\gamma(t) \approx (Nt)^{-\bar{c}/N}$, for the temperature and magnetic field, respectively. Other annealing strategies, as well as their potential speed-up, are also discussed.
2009-11-13
quant-ph/9907009
Max Tegmark
Max Tegmark
The importance of quantum decoherence in brain processes
Minor changes to match accepted PRE version. 15 pages with 5 figs included. Color figures and links at http://www.physics.upenn.edu/~max/brain.html or from [email protected]. Physical Review E, in press
Phys.Rev.E61:4194-4206,2000
10.1103/PhysRevE.61.4194
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quant-ph cond-mat.dis-nn cs.NE physics.bio-ph q-bio
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Based on a calculation of neural decoherence rates, we argue that that the degrees of freedom of the human brain that relate to cognitive processes should be thought of as a classical rather than quantum system, i.e., that there is nothing fundamentally wrong with the current classical approach to neural network simulations. We find that the decoherence timescales ~10^{-13}-10^{-20} seconds are typically much shorter than the relevant dynamical timescales (~0.001-0.1 seconds), both for regular neuron firing and for kink-like polarization excitations in microtubules. This conclusion disagrees with suggestions by Penrose and others that the brain acts as a quantum computer, and that quantum coherence is related to consciousness in a fundamental way.
2009-10-07
quant-ph/9912070
Giuseppe Vitiello
Eliano Pessa and Giuseppe Vitiello
Quantum dissipation and neural net dynamics
latex file Published: Bioelectrochemistry and Bioenergetics, 48:339-342, 1999
Bioelectrochem.Bioenerg 48 (1999) 339-342
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quant-ph cond-mat.other hep-th physics.bio-ph q-bio.OT
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Inspired by the dissipative quantum model of brain, we model the states of neural nets in terms of collective modes by the help of the formalism of Quantum Field Theory. We exhibit an explicit neural net model which allows to memorize a sequence of several informations without reciprocal destructive interference, namely we solve the overprinting problem in such a way last registered information does not destroy the ones previously registered. Moreover, the net is able to recall not only the last registered information in the sequence, but also anyone of those previously registered.
2007-05-23
quant-ph/9912120
Matteo Beccaria
Eleonora Alfinito and Giuseppe Vitiello
Life-time and hierarchy of memory in the dissipative quantum model of brain
4pages, no figures, paper accepted for publication in the JCIS 2000 Proceedings
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10.1142/S0217979200001734
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quant-ph cond-mat nlin.AO physics.bio-ph q-bio
null
Some recent developments of the dissipative quantum model of brain are reported. In particular, the time-dependent frequency case is considered with its implications on the different life-times of the collective modes.
2009-10-31
solv-int/9807001
Juhi-Lian Julian Ting
Julian Juhi-Lian Ting
DNA Transcription Mechanism with a Moving Enzyme
paper published long time ago. 11 pages RevTeX 4 EPS files
Int. J. Bifurcat. Chaos.7:5, 1125-1132 (1997)
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solv-int nlin.SI q-bio
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Previous numerical investigations of an one-dimensional DNA model with an extended modified coupling constant by transcripting enzyme are integrated to longer time and demonstrated explicitly the trapping of breathers by DNA chains with realistic parameters obtained from experiments. Furthermore, collective coordinate method is used to explain a previously observed numerical evidence that breathers placed far from defects are difficult to trap, and the motional effect of RNA-polymerase is investigated.
2021-01-21