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Open Quantum Random Walks with Decoherence on Coins with n Degrees of Freedom.
- Source :
-
Journal of Statistical Physics . Aug2013, Vol. 152 Issue 3, p473-492. 20p. - Publication Year :
- 2013
-
Abstract
- In this paper we define a new type of decoherent quantum random walk with parameter 0≤ p≤1, which becomes a unitary quantum random walk (UQRW) when p=0 and an open quantum random walk (OQRW) when p=1, respectively. We call this process a partially open quantum random walk (POQRW). We study the limiting distribution of a POQRW on Z subject to decoherence on coins with n degrees of freedom. The limiting distribution of the POQRW converges to a convex combination of normal distributions, under an eigenvalue condition. A Perron-Frobenius type of theorem is established to determine whether or not a POQRW satisfies the eigenvalue condition. Moreover, we explicitly compute the limiting distributions of characteristic equations of the position probability functions when n=2 and 3. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224715
- Volume :
- 152
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Statistical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 89077727
- Full Text :
- https://doi.org/10.1007/s10955-013-0772-2