Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles

Details Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles

2005-09-22

arxiv.org/abs/quant-ph/0509163v1

Quantum Information and Computation, Vol. 6, No. 3 (2006), 263-276.

Physics

Quantum Physics

15 pages, 3 figures

Scientific paper

We prove analytical results showing that decoherence can be useful for mixing time in a continuous-time quantum walk on finite cycles. This complements the numerical observations by Kendon and Tregenna (Physical Review A 67 (2003), 042315) of a similar phenomenon for discrete-time quantum walks. Our analytical treatment of continuous-time quantum walks includes a continuous monitoring of all vertices that induces the decoherence process. We identify the dynamics of the probability distribution and observe how mixing times undergo the transition from quantum to classical behavior as our decoherence parameter grows from zero to infinity. Our results show that, for small rates of decoherence, the mixing time improves linearly with decoherence, whereas for large rates of decoherence, the mixing time deteriorates linearly towards the classical limit. In the middle region of decoherence rates, our numerical data confirms the existence of a unique optimal rate for which the mixing time is minimized.

Affiliated with

Also associated with

No associations

Rating

Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mixing and Decoherence in Continuous-Time Quantum Walks on Cycles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-504126