# Quantum walk search with time-reversal symmetry breaking

@article{Wong2015QuantumWS, title={Quantum walk search with time-reversal symmetry breaking}, author={Thomas G. Wong}, journal={Journal of Physics A}, year={2015}, volume={48}, pages={405303} }

We formulate Grover's unstructured search algorithm as a chiral quantum walk, where transitioning in one direction has a phase conjugate to transitioning in the opposite direction. For small phases, this breaking of time-reversal symmetry is too small to significantly affect the evolution: the system still approximately evolves in its ground and first excited states, rotating to the marked vertex in time . Increasing the phase does not change the runtime, but rather changes the support for the… CONTINUE READING

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