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http://hdl.handle.net/2289/3699
Title: | Symmetry-noise interplay in a quantum walk on an n-cycle |
Authors: | Banerjee, Subhashish Srikanth, R. Chandrashekar, C.M. Rungta, Pranaw |
Issue Date: | 10-Nov-2008 |
Publisher: | American Physical Society |
Citation: | Physical Review A, 2008, Vol.78, 052316 |
Abstract: | Augmenting the unitary transformation which generates a quantum walk by a generalized phase gate G is a symmetry for both noisy and noiseless quantum walk on a line, in the sense that it leaves the position probability distribution invariant. However, this symmetry breaks down in the case of a quantum walk on an n cycle, and hence can be regarded as a probe of the walk topology. Noise, modeled here as phase flip and generalized amplitude damping channels, tends to restore the symmetry because it classicalizes the walk. However, symmetry restoration happens even in the regime where the walker is not entirely classical, because noise also has the effect of desensitizing the operation G to the walk topology. We discuss methods for physical implementation, and talk about the wider implications to condensed matter systems. 2008 The American Physical Society |
Description: | Open Access. |
URI: | http://hdl.handle.net/2289/3699 |
ISSN: | 1094-1622 (online) 1050-2947 (print) |
Alternative Location: | http://dx.doi.org/10.1103/PhysRevA.78.052316 http://arxiv.org/abs/0803.4453 |
Copyright: | 2008 The American Physical Society |
Appears in Collections: | Research Papers (LAMP) Research Papers (TP) |
Files in This Item:
File | Description | Size | Format | |
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2008 PRA_V78_052316.pdf | Open Access | 127.13 kB | Adobe PDF | View/Open |
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