Integrated quantum photonics
As the field has progressed new quantum algorithms have been developed which provide short and long term routes towards the demonstration of the superiority of quantum computers over their classical counterparts. Cluster state computation is now generally accepted as the approach that will be used to develop a fully fledged quantum computer. Whilst development of quantum computer will require the synthesis of many different aspects of integrated optics, boson sampling seeks to demonstrate the power of quantum computation via technologies readily available and is therefore a very promising near term algorithm to doing so. In fact shortly after its proposal there were several small scale experimental demonstrations of the boson sampling algorithm
Sridhar Tayur
Tayur created the Quantum Group at Carnegie Mellon in 2017 to study optimization problems―motivated by operations research and operations management applications―by bringing ideas and methods from algebraic geometry, geometry of numbers and algebraic topology to quantum computing. The group has conducted numerical testing on D-Wave of their new hybrid quantum-classical algorithm to compute Graver basis, which is known to be useful in many applications of non-linear integer optimization and game theory. Based on a novel algebraic geometry framing, the Quantum Group is also developing a “Translator API” that will make quantum hardware (based on Ising Spin Glass architecture, like D-Wave) more easily accessible to the optimization community. The group is also the first to introduce Morse theory (from algebraic topology) to understand adiabatic quantum computation better.