Irreversible quantum evolution with quadratic generator: Review
From MaRDI portal
Publication:4960467
DOI10.1142/S0219025719300019zbMath1436.81077arXiv1912.13083WikidataQ126592714 ScholiaQ126592714MaRDI QIDQ4960467
Publication date: 16 April 2020
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.13083
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum optics (81V80) Open systems, reduced dynamics, master equations, decoherence (81S22) Fermionic systems in quantum theory (81V74) Bosonic systems in quantum theory (81V73)
Related Items
Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems, The Kossakowski Matrix and Strict Positivity of Markovian Quantum Dynamics, Recent developments in combinatorial aspects of normal ordering, The decoherence-free subalgebra of Gaussian quantum Markov semigroups, Dynamics of moments and stationary states for GKSL equations of classical diffusion type, One-Particle Approximation as a Simple Playground for Irreversible Quantum Evolution, Singular value decomposition for skew-Takagi factorization with quantum applications, On reconstruction of states from evolution induced by quantum dynamical semigroups perturbed by covariant measures, Exact dynamics of moments and correlation functions for GKSL fermionic equations of Poisson type, An example of explicit generators of local and nonlocal quantum master equations, Higher order moments dynamics for some multimode quantum master equations, Gaussian Quantum Markov Semigroups on a One-Mode Fock Space: Irreducibility and Normal Invariant States, Weyl moments and quantum Gaussian states, The non-linear and quadratic quantization programs, On irreducibility of Gaussian quantum Markov semigroups, Twisted convolution quantum information channels, one-parameter semigroups and their generators
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symplectic dilations, Gaussian states and Gaussian channels
- Non-Markovian dynamics of open quantum systems: stochastic equations and their perturbative solutions
- Quantum systems, channels, information. A mathematical introduction.
- Quadratic dissipative evolution of Gaussian states
- Coherent states and applications in mathematical physics.
- Squeezed states and their applications to quantum evolution
- Fermionic quantum computation
- Quantum thermodynamics: a dynamical viewpoint
- The complexity of relating quantum channels to master equations
- Superanalysis, I. Differential calculus
- Quantum dynamical semigroups and applications. Based on lectures given at the 20th symposium on theoretical chemistry, Emmetten, Switzerland, 1984
- Who's afraid of not completely positive maps?
- Quantum thermodynamics. Emergence of thermodynamic behavior within composite quantum systems
- Superanalysis. II: Integral calculus
- On the generators of quantum dynamical semigroups
- A note on covariant dynamical semigroups
- Nonlinear optical waves
- On singular perturbations of quantum dynamical semigroups
- Quadratic fermionic dynamics with dissipation
- The low density limit for an N-level system interacting with a free Bose or Fermi gas
- On the structure of covariant dynamical semigroups
- Generalized squeezed states and multimode factorization formula
- Operator-valued ODEs and Feynman's formula
- Dynamics of moments for quadratic GKSL generators
- Normal forms, inner products, and Maslov indices of general multimode squeezings
- Quadratic dissipative evolution of Gaussian states with drift
- Spectral properties of reduced fermionic density operators and parity superselection rule
- Partial positive scaling transform: a separability criterion
- Statistical Structure of Quantum Theory
- On the proof of the majorization theorem for quantum Gaussian channels
- Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition
- Exact matrix product solutions in the Heisenberg picture of an open quantum spin chain
- Quantization over boson operator spaces
- Lindblad- and non-Lindblad-type dynamics of a quantum Brownian particle
- Zeno and Anti-Zeno Effects for Quantum Brownian Motion
- The semigroup structure of Gaussian channels
- Gaussian optimizers and the additivity problem in quantum information theory
- Quantum stochastic equation for the low density limit
- On the Classical Capacity of a Channel with Stationary Quantum Gaussian Noise
- On the quantum Gaussian optimizers conjecture in the case $ q=p$
- A Brief History of the GKLS Equation
- The First 40 Years of GKSL Generators and Some Proposal for the Future
- Completely positive dynamical semigroups of N-level systems
- Normal form decomposition for Gaussian-to-Gaussian superoperators
- Exact Quantization Conditions. II
- Covariant quantum Markovian evolutions
- On Time-Local Generators of Quantum Evolution
- On the Normal Forms of Linear Canonical Transformations in Dynamics
- Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
- The time-convolutionless projection operator technique in the quantum theory of dissipation and decoherence.
