Goswami, Debashish ; Sahu, Lingaraj (2008) Quantum random walks and vanishing of the second Hochschild cohomology Letters in Mathematical Physics, 84 (1). pp. 1-14. ISSN 0377-9017
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Official URL: http://link.springer.com/article/10.1007/s11005-00...
Related URL: http://dx.doi.org/10.1007/s11005-008-0233-z
Abstract
Given a conditionally completely positive map L on a unital *-algebra A , we find an interesting connection between the second Hochschild cohomology of A with coefficients in the bimodule EL=Ba(A⊕M) of adjointable maps, where M is the GNS bimodule of L , and the possibility of constructing a quantum random walk [in the sense of (Attal et al. in Ann Henri Poincar 7(1):59–104, 2006; Lindsay and Parthasarathy in Sankhya Ser A 50(2):151–170, 1988; Sahu in Quantum stochastic Dilation of a class of Quantum dynamical Semigroups and Quantum random walks. Indian Statistical Institute, 2005; Sinha in Banach Center Publ 73:377–390, 2006)] corresponding to L .
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Verlag. |
| Keywords: | Noncommutative Probability; Quantum Random Walk; Hochschild Cohomology |
| ID Code: | 102170 |
| Deposited On: | 01 Feb 2018 04:02 |
| Last Modified: | 01 Feb 2018 04:02 |
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