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

Abstract

We show the connection between a witness that detects dynamical maps with initial system-environment correlations and a witness that detects non-Markovian open quantum systems. Our analysis is based on studying the role that state preparation plays in witnessing violations of contractivity of open quantum system dynamics. Contractivity is a property of some quantum processes where the trace distance of density matrices decrease with time. From this, we show how a witness of initial-correlations is an upper bound to a witness of non-Markovianity. We discuss how this relationship shows further connections between initial system-environment correlations and non-Markovianity at an instance of time in open quantum systems.

5 pages

References in corpus (29)

• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Entanglement and non-Markovianity of quantum evolutions
• Assessing non-Markovian dynamics
• Quantum Fisher Information Flow in Non-Markovian Processes of Open Systems
• Measure for the Non-Markovianity of Quantum Processes
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• On measures of non-Markovianity: divisibility vs. backflow of information
• Completely Positive Maps and Classical Correlations
• Markovian and non-Markovian dynamics in quantum and classical systems
• Dynamics of initially entangled open quantum systems
• Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
• Physical accessibility of non-completely positive maps
• Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
• Comparing different non-Markovianity measures: A case study
• An alternative non-Markovianity measure by divisibility of dynamical map
• Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
• Experimental investigation of initial system-environment correlations via trace distance evolution
• Dynamics of open quantum systems with initial system-reservoir correlations
• Open system quantum dynamics with correlated initial states, not completely positive maps and non-Markovianity
• Detecting nonclassical system-environment correlations by local operations
• Linear Assignment Maps for Correlated System-Environment States
• Kraus representation in the presence of initial correlations
• How state preparation can affect a quantum experiment: Quantum process tomography for open systems
• Decoherence and the Nature of System-Environment Correlations
• The role of preparation in quantum process tomography
• Preparation of states in open quantum mechanics
• Purity as a witness for initial system-environment correlations in open-system dynamics
• Lazy states: sufficient and necessary condition for zero quantum entropy rates under any coupling to the environment
• Mapping the Schrodinger picture of open quantum dynamics

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• Dynamical role of system-environment correlations in non-Markovian dynamics
• An introduction to operational quantum dynamics
• Environmental correlations and Markovian to non-Markovian transitions in collisional models
• Characterizing quantum dynamics with initial system-environment correlations
• Optimal quantum networks and one-shot entropies
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• Interaction-induced correlations and non-Markovianity of quantum dynamics
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• Reconstructing open quantum system dynamics with limited control
• Precursors of non-Markovianity
• Quantum non-Markovianity: Overview and recent developments
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