Kraus representation in the presence of initial correlations

Reduced Dynamics Need Not Be Completely Positive

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Quantum theory of a free particle interacting with a linearly dissipative environment

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Comment on “Reduced Dynamics Need Not Be Completely Positive”

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Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation

Štelmachovič, P., & Bužek, V. (2001) · Physical Review A · doi:10.1103/physreva.64.062106 · Cited by 173 · see citing works

Pechukas Replies:

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Erratum: Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation [Phys. Rev. A64, 062106 (2001)]

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Reduced dynamics with initial correlations: Multiconfigurational approach

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Homogeneous generalized master equation retaining initial correlations

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Vanishing Quantum Discord is Necessary and Sufficient for Completely Positive Maps

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Dynamics beyond completely positive maps: Some properties and applications

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Controllability of open quantum systems with Kraus-map dynamics

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Detecting Nonclassical System-Environment Correlations by Local Operations

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Robustness and device independence of verifiable blind quantum computing

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Kraus representation of a damped harmonic oscillator and its application

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Beyond complete positivity

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Why initial system-environment correlations do not imply the failure of complete positivity: A causal perspective

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Unification of witnessing initial system-environment correlations and witnessing non-Markovianity

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Positivity in the presence of initial system-environment correlation

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Sufficient and Necessary Condition for Zero Quantum Entropy Rates under any Coupling to the Environment

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Operator-sum representation of time-dependent density operators and its applications

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Completely positive maps within the framework of direct-sum decomposition of state space

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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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Kraus representation for the density operator of a qubit

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Some remarks on assignment maps

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Evolution of any finite open quantum system always admits a Kraus-type representation, although it is not always completely positive

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Exact reduced dynamics for a qubit in a precessing magnetic field and in contact with a heat bath

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Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation

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Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians

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Hamiltonian composite dynamics can almost always lead to negative reduced dynamics

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Completely positive maps for reduced states of indistinguishable particles

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Recent Developments

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Quantum channel negativity as a measure of system-bath coupling and correlation

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Non-completely positive maps: properties and applicationsPreprint

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Quantum adaptation of noisy channels

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Dynamics of Open Systems with Affine Maps

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Gate-based initialization and fidelity in correlated open quantum systems

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Initial Correlations and Complete Positivity of Dynamical Maps

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Unitary evolution from the static structure of quantum theory and the no-signaling condition

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Open system quantum evolution and the assumption of complete positivity (A Tutorial)

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Nakajima-Zwanzig and Time-Convolutionless Master Equations for a One-Qubit System in a Non-Markovian Layered Environment

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Perturbative dynamics of open quantum systems by renormalization group method

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Kraus operator formalism for quantum multiplexer operations for arbitrary two-qubit mixed states

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Generation and Manipulation of Entanglement in Quantum Optical SystemsPreprint

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On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledgePreprint

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Kraus representation for maps and master equation in spin star model with layered environmentPreprint

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Some aspects of the interplay between bipartite correlations and quantum channelsPreprint

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Kraus operator formalism using a reduced Hamiltonian approach on controlled-unitary operations

Udayakumar, P. (2017) · Holmes Museum Of Anthropology (Wichita State University)

Effects of non-Markovianity in quantum compositions of channels with indefinite causal order

Cheong, J. W. (2023) · doi:10.32657/10356/173440

Finite-Time Quantum Dissipation Engineering

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Kraus representation for arbitrary open qubit systemPreprint

Tong, D. M., Chen, J., Kwek, L. C., & Oh, C. (2003) · arXiv (Cornell University) · Cited by 2 · see citing works

Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation

Štelmachovič, P., & Bužek, V. (2001) · Physical Review A · doi:10.1103/physreva.64.062106 · Cited by 173 · see citing works

The Kraus representation for the dynamics of open quantum systemsPreprint

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An Interacting System and Environment with Prior Correlations Plus Local Operations Can Mimic Uncorrelated EvolutionPreprint

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