Quantum random walks and vanishing of the second Hochschild cohomology

DOI10.1007/s11005-008-0233-zzbMath1156.81027arXiv0704.1755OpenAlexW3100923166MaRDI QIDQ934992

Lingaraj Sahu, Debashish Goswami

Publication date: 31 July 2008

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1755

zbMATH Keywords

formal power seriesquantum random walkcohomology groups for bimodulesquantum stochastic dilation

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50)

Related Items

Quantum random walk approximation on locally compact quantum groups ⋮ Quantum random walks and their convergence to Evans--Hudson flows

Cites Work

• Quantum Ito's formula and stochastic evolutions
• From repeated to continuous quantum interactions
• Approximation of quantum Lévy processes by quantum random walks
• Quantum random walks and their convergence to Evans--Hudson flows
• Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra
• On the deformation of rings and algebras
• On the cohomology groups of an associative algebra
• Random-walk approximation to vacuum cocycles
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups
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