Decoherence in a one-dimensional quantum walk
Abstract
In this article we study decoherence in the discrete-time quantum walk on the line. We generalize the method of decoherent coin quantum walk, introduced by Brun [Phys. Rev. A 67, 32304 (2003)]. Our analytical expressions are applicable for all kinds of decoherence. As an example of the coin-position decoherence, we study the broken line quantum walk and compare our results with the numerical one. We also show that our analytical results reduce to the Brun formalism when only the coin is subjected to decoherence.
- Publication:
-
Physical Review A
- Pub Date:
- March 2010
- DOI:
- 10.1103/PhysRevA.81.032321
- arXiv:
- arXiv:0910.1986
- Bibcode:
- 2010PhRvA..81c2321A
- Keywords:
-
- 03.67.Lx;
- 03.65.Yz;
- 05.40.Fb;
- Quantum computation;
- Decoherence;
- open systems;
- quantum statistical methods;
- Random walks and Levy flights;
- Quantum Physics
- E-Print:
- 11 pages, 2 figures