Theoretical Setting of Inner Reversible Quantum Measurements
<|reference_start|>Theoretical Setting of Inner Reversible Quantum Measurements: We show that any unitary transformation performed on the quantum state of a closed quantum system, describes an inner, reversible, generalized quantum measurement. We also show that under some specific conditions it is possible to perform a unitary transformation on the state of the closed quantum system by means of a collection of generalized measurement operators. In particular, given a complete set of orthogonal projectors, it is possible to implement a reversible quantum measurement that preserves the probabilities. In this context, we introduce the concept of "Truth-Observable", which is the physical counterpart of an inner logical truth.<|reference_end|>
@article{zizzi2005theoretical,
    title={Theoretical Setting of Inner Reversible Quantum Measurements},
    author={Paola Zizzi},
    journal={Mod. Phys. Lett. A, Vol.21, No. 36 (2006) pp. 2717-2727},
    year={2005},
    doi={10.1142/S0217732306021827},
    archivePrefix={arXiv},
    eprint={quant-ph/0507155},
    primaryClass={quant-ph cs.LO math-ph math.LO math.MP}
}