On irreducibility of Gaussian quantum Markov semigroups

DOI10.1142/S021902572240001XMaRDI QIDQ5876126

Damiano Poletti, Franco Fagnola

Publication date: 31 January 2023

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

Gaussianirreduciblequantum Markov semigroupHörmander's conditionquasi-free

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

• Completely positive maps on the CCR-algebra
• A quantum-mechanical functional central limit theorem
• Characterization of Gaussian quantum Markov semigroups
• The decoherence-free subalgebra of Gaussian quantum Markov semigroups
• Structure of uniformly continuous quantum Markov semigroups
• An algebraic version of the central limit theorem
• Structure of Uniformly Continuous Quantum Markov Semigroups with Atomic Decoherence-free Subalgebra
• Bosonic quadratic Hamiltonians
• Subharmonic projections for a quantum Markov semigroup
• Irreversible quantum evolution with quadratic generator: Review
• Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States
• The Kossakowski Matrix and Strict Positivity of Markovian Quantum Dynamics
• Linear Symmetries of Free Boson Fields
• Twisted convolution quantum information channels, one-parameter semigroups and their generators
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