Physics – Quantum Physics
Scientific paper
2006-07-27
Phys. Rev. A . 76, 022316 (2007)
Physics
Quantum Physics
19 pages, 24 figures : V3 - Revised version to appear in Phys. Rev. A. - new section on quantum walk in a cycle included
Scientific paper
10.1103/PhysRevA.76.022316
We study some discrete symmetries of unbiased (Hadamard) and biased quantum walk on a line, which are shown to hold even when the quantum walker is subjected to environmental effects. The noise models considered in order to account for these effects are the phase flip, bit flip and generalized amplitude damping channels. The numerical solutions are obtained by evolving the density matrix, but the persistence of the symmetries in the presence of noise is proved using the quantum trajectories approach. We also briefly extend these studies to quantum walk on a cycle. These investigations can be relevant to the implementation of quantum walks in various known physical systems. We discuss the implementation in the case of NMR quantum information processor and ultra cold atoms.
Banerjee Subhashish
Chandrashekar C. M.
Srikanth Raghavendra
No associations
LandOfFree
Symmetries and noise in quantum walk 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 Symmetries and noise in quantum walk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries and noise in quantum walk will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-250721