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http://hdl.handle.net/2289/3537| Title: | Optimizing the discrete time quantum walk using a SU(2) coin |
| Authors: | Chandrashekar, C.M. Srikanth, R. Laflamme, Raymond |
| Issue Date: | Mar-2008 |
| Publisher: | American Physical Society |
| Citation: | Physical Review A, 2008, Vol.77, 032326 |
| Abstract: | We present a generalized version of the discrete time quantum walk, using the SU(2) operation as the quantum coin. By varying the coin parameters, the quantum walk can be optimized for maximum variance subject to the functional form sigma2[approximate]N2 and the probability distribution in the position space can be biased. We also discuss the variation in measurement entropy with the variation of the parameters in the SU(2) coin. Exploiting this we show how the quantum walk can be optimized for improving the mixing time in an n-cycle and for a quantum walk search. |
| Description: | Open access |
| URI: | http://hdl.handle.net/2289/3537 |
| ISSN: | 1094-1622 (online) 1050-2947 (print) |
| Alternative Location: | http://dx.doi.org/10.1103/PhysRevA.77.032326 http://arxiv.org/abs/0711.1882 |
| Copyright: | 2008 The American Physical Society |
| Appears in Collections: | Research Papers (LAMP) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2008 PRA V77 p032326.pdf | Open Access | 135.79 kB | Adobe PDF | View/Open |
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