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Dynamical maps beyond Markovian regime (Q2111034)

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scientific article; zbMATH DE number 7636901

Language	Label	Description	Also known as
English	Dynamical maps beyond Markovian regime	scientific article; zbMATH DE number 7636901

Statements

scholarly article

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Dynamical maps beyond Markovian regime (English)

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Dariusz Chruściński

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Physics Reports

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publication date

23 December 2022

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full work available at URL

https://arxiv.org/abs/2209.14902

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zbMATH Keywords

open quantum systems

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quantum Markovianity

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quantum dynamical maps

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master equations

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memory kernels

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MaRDI profile type

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Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)

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Quantum dissipative systems.

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Open quantum systems. Dynamics of nonclassical evolution

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An Open Systems Approach to Quantum Optics

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Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.

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Open quantum systems far from equilibrium

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Defining quantum dynamical entropy

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OPEN QUANTUM DYNAMICS: COMPLETE POSITIVITY AND ENTANGLEMENT

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Quantum collision models: open system dynamics from repeated interactions

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Completely positive dynamical semigroups of <i>N</i>-level systems

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On the generators of quantum dynamical semigroups

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A Brief History of the GKLS Equation

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Positive Functions on C ∗ -Algebras

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The unreasonable effectiveness of mathematics in the natural sciences. Richard courant lecture in mathematical sciences delivered at New York University, May 11, 1959

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Concepts of quantum non-markovianity: a hierarchy

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Stochastic Dynamics of Quantum-Mechanical Systems

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Dynamical Mappings of Density Operators in Quantum Mechanics

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An Invitation to Quantum Channels

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Quantum entanglement

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Positive linear maps of operator algebras

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Positive Linear Maps of Operator Algebras

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Completely positive linear maps on complex matrices

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Positive Linear Maps on C<sup>*</sup>-Algebras

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Entanglement witnesses: construction, analysis and classification

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Positive maps of low dimensional matrix algebras

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Frobenius theory for positive maps of von Neumann algebras

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General state changes in quantum theory

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States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters

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Linear transformations which preserve trace and positive semidefiniteness of operators

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On Duality between Quantum Maps and Quantum States

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Geometry of Quantum States

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On quantum operations as quantum states

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Linear transformations which preserve Hermitian and positive semidefinite operators

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Subalgebras of \(C^ *\)-algebras

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The Choi–Jamiolkowski forms of quantum Gaussian channels

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The Theory of Quantum Information

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Geometry of quantum systems: density states and entanglement

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Dynamical Mappings of Density Operators in Quantum Mechanics. II. Time Dependent Mappings

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One-Parameter Semigroups for Linear Evolution Equations

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Dissipative operators in a Banach space

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The generators of positive semigroups

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CONDITIONALLY COMPLETELY POSITIVE MAPS ON OPERATOR ALGEBRAS

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Phase covariant qubit dynamics and divisibility

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A generalized Schwarz inequality and algebraic invariants for operator algebras

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A Schwarz inequality for positive linear maps on C\(^*\)-algebras

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On the detailed balance condition for non-Hamiltonian systems

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Properties of quantum Markovian master equations

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Quantum detailed balance and KMS condition

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GENERATORS OF DETAILED BALANCE QUANTUM MARKOV SEMIGROUPS

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Analysis of quantum semigroups with GKS–Lindblad generators: I. Simple generators

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Analysis of quantum semigroups with GKS–Lindblad generators: II. General

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The structures of state space concerning quantum dynamical semigroups

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Spectral and steady-state properties of random Liouvillians

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Random-matrix theory for the Lindblad master equation

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Restriction on relaxation times derived from the Lindblad-type master equations for two-level systems

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The Frobenius norm and the commutator

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Attempt of an axiomatic foundation of quantum mechanics and more general theories. III

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Operations and measurements. II

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On the general form of the dynamical transformation of density matrices

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Supersymmetrization of the Franke–Gorini–Kossakowski–Lindblad–Sudarshan equation

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On Quantum Theory of Transport Phenomena

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Generalized Theory of Relaxation

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On the equilibrium states in quantum statistical mechanics

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Theory of Many-Particle Systems. I

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Redfield reduced dynamics and entanglement

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Staying positive: going beyond Lindblad with perturbative master equations

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Derivation of the Redfield quantum master equation and corrections to it by the Bogoliubov method

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Local Generation of Entanglement with Redfield Dynamics

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Markovian master equations

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Markovian master equations. II

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Quantum-mechanical perturbations giving rise to a statistical transport equation

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On the assumption of initial factorization in the master equation for weakly coupled systems. I: General framework

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On the assumption of initial factorization in the master equation for weakly coupled systems. II: Solvable models

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On the Derivation of the GKLS Equation for Weakly Coupled Systems

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Quantum Markovian master equations: resonance theory shows validity for all time scales

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Markovian dynamics under weak periodic coupling

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On the relation between the singular and the weak coupling limits

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The role of quantum information in thermodynamics—a topical review

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Quantum thermodynamics: a dynamical viewpoint

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Completely positive maps and entropy inequalities

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Quantum information theory

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Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory

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MONOTONICITY OF QUANTUM RELATIVE ENTROPY REVISITED

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Monotonicity of the quantum relative entropy under positive maps

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Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

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Dividing quantum channels

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Assessing Non-Markovian Quantum Dynamics

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The complexity of relating quantum channels to master equations

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Pauli semigroups and unistochastic quantum channels

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On the exact master equations

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Quantum stochastic processes as models for state vector reduction

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Quantum detection and estimation theory

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Non-Markovian random unitary qubit dynamics

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On Time-Local Generators of Quantum Evolution

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ON MUTUALLY UNBIASED BASES

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Discrete phase space based on finite fields

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Pauli diagonal channels constant on axes

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Generalizations of Pauli channels

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Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators

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Finding the Kraus decomposition from a master equation and vice versa

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Extending quantum operations

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Generalized channels: channels for convex subsets of the state space

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Quantum computers and dissipation

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Pure Decoherence in Quantum Systems

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Hadamard Completely Positive Semigroups

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Quantum regression in dephasing phenomena

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Can Decay Be Ascribed to Classical Noise?

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Quantum state discrimination and its applications

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Quantum Information Processing with Finite Resources

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Characterizing the dynamical semigroups that do not decrease a quantum entropy

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Fundamental limits on quantum dynamics based on entropy change

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Entropy behaviour under completely positive maps

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Lindbladian operators, von Neumann entropy and energy conservation in time-dependent quantum open systems

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Different quantum f-divergences and the reversibility of quantum operations

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On quantum Rényi entropies: A new generalization and some properties

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Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy

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Sandwiched Rényi divergence satisfies data processing inequality

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Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies

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The ''transition probability'' in the state space of a \(^*\)-algebra

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Fidelity for Mixed Quantum States

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Telescopic Relative Entropy

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Quantum skew divergence

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Differential-geometrical methods in statistics

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Monotone metrics on matrix spaces

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Geometries of quantum states

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Monotone Riemannian metrics and relative entropy on noncommutative probability spaces

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An Extension of Kakutani's Theorem on Infinite Product Measures to the Tensor Product of Semifinite w ∗ -Algebras

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Density operators as an arena for differential geometry

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Geometric phases and related structures

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Wigner–Yanase information on quantum state space: The geometric approach

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On the Riemannian metric on the space of density matrices

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QUANTUM ESTIMATION FOR QUANTUM TECHNOLOGY

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Statistical distance and the geometry of quantum states

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Geometry of Quantum Statistical Inference

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Information geometry of density matrices and state estimation

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Geometric phases in classical and quantum mechanics

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INFORMATION CONTENTS OF DISTRIBUTIONS

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Convex trace functions and the Wigner-Yanase-Dyson conjecture

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Quantum information theory and quantum statistics.

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Quantum conditional probability and measurement induced disturbance of a quantum channel

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Exponential Operators and Parameter Differentiation in Quantum Physics

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On the exponential solution of differential equations for a linear operator

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A pedagogical approach to the Magnus expansion

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Quantum evolution with a large number of negative decoherence rates

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Convex combinations of CP-divisible Pauli channels that are not semigroups

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Non-Markovian quantum stochastic processes and their entropy

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Quantum stochastic processes

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An Introduction to Operational Quantum Dynamics

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Quantum Semi-Markov Processes

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Markovianity and non-Markovianity in quantum and classical systems

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Bernstein functions. Theory and applications

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Completely positive post-Markovian master equation via a measurement approach

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On the hybrid Davies like generator for quantum dissipation

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Comparison of Quantum Channels by Superchannels

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Quantum and classical dynamical semigroups of superchannels and semicausal channels

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.PHYSREP.2022.09.003

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Sitelinks

Mathematics(1 entry)

mardi Publication:2111034

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