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Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ).
- Source :
-
Infinite Dimensional Analysis, Quantum Probability & Related Topics . Mar2024, Vol. 27 Issue 1, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- We consider a sequence of operators τ n that describes the time evolution of normal states of an open quantum system. Our objective is to analyze the asymptotic behavior of τ n ∘ ⋯ ∘ τ 1 (ω 0) , where ω 0 is an arbitrary initial normal state. Our focus is on specific situations in which the operators τ n are produced by various quantum Markov semigroups of weak coupling limit-type. To tackle this problem, we introduce a new result concerning exponential convergence to equilibrium in the trace norm for quantum Markov semigroups, provided that their induced semigroups have a spectral gap. Moreover, applications to quantum annealing are discussed. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM annealing
*QUANTUM states
Subjects
Details
- Language :
- English
- ISSN :
- 02190257
- Volume :
- 27
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Infinite Dimensional Analysis, Quantum Probability & Related Topics
- Publication Type :
- Academic Journal
- Accession number :
- 176223959
- Full Text :
- https://doi.org/10.1142/S0219025723500169