Entropic witness for quantum memory in open system dynamics
arXiv:2501.17660 · doi:10.1103/618n-fp8w
Abstract
The dynamics of open quantum system are often modeled by non-Markovian processes that account for memory effects arising from interactions with the environment. It is well-known that the memory provided by the environment can be classical or quantum in nature. Remarkably, the quantumness of the memory can be witnessed locally by measurements on the open system alone, without requiring access to the environment. However, existing witnesses are computationally challenging for systems beyond qubits. In this work, we present a tractable criterion for quantum memory based on the von Neumann entropy, which is easily computable for systems of any dimension. Using this witness, we investigate the nature of memory in a class of physically motivated finite-dimensional qudit dynamics. Moreover, we demonstrate that this criterion is also suitable for detecting quantum memory in continuous-variable systems. As an illustrative example, we analyze non-Markovian Gaussian dynamics of a damped harmonic oscillator.
References in corpus (56)
- Gaussian Quantum Information
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum correlations with no causal order
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- Theoretical framework for quantum networks
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Efficient non-Markovian quantum dynamics using time-evolving matrix product operators
- Canonical form of master equations and characterization of non-Markovianity
- Concepts of quantum non-Markovianity: a hierarchy
- Ancilla-assisted quantum process tomography
- Non-Markovian quantum processes: complete framework and efficient characterisation
- Computing quantum discord is NP-complete
- Symplectic invariants, entropic measures and correlations of Gaussian states
- Observation of non-Markovian micro-mechanical Brownian motion
- Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
- Continuous variable quantum key distribution in non-Markovian channels
- Quantifying, characterizing and controlling information flow in ultracold atomic gases
- Completely Positive Divisibility Does Not Mean Markovianity
- Quantifying non-Markovianity of continuous variable Gaussian dynamical maps
- Collision model for non-Markovian quantum dynamics
- Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
- A resource theory of quantum memories and their faithful verification with minimal assumptions
- Exploiting Non-Markovianity of the Environment for Quantum Control
- Eternal non-Markovianity: from random unitary to Markov chain realisations
- Divisibility of quantum dynamical maps and collision models
- When is a non-Markovian quantum process classical?
- Exact open quantum system dynamics using the Hierarchy of Pure States (HOPS)
- Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories
- Quantum Markov Order
- Non-Markovian quantum dynamics: What does it mean?
- The steady state quantum statistics of a non-Markovian atom laser
- A classical appraisal of quantum definitions of non-Markovian dynamics
- Open Quantum System Dynamics from Infinite Tensor Network Contraction
- Witnessing quantum memory in non-Markovian processes
- Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy
- Non-Markovianity of Gaussian Channels
- Experimental characterisation of a non-Markovian quantum process
- Resource theories of multi-time processes: A window into quantum non-Markovianity
- Gaussian interferometric power as a measure of continuous variable non-Markovianity
- Squashed entanglement in infinite dimensions
- Measurement-Device-Independent Verification of a Quantum Memory
- Non-Markovianity Hierarchy of Gaussian Processes and Quantum Amplification
- Characterising the Hierarchy of Multi-time Quantum Processes with Classical Memory
- Dynamics of a strongly coupled quantum heat engine -- computing bath observables from the hierarchy of pure states
- On the connection between microscopic description and memory effects in open quantum system dynamics
- Exact non-Markovian dynamics of Gaussian quantum channels: Finite-time and asymptotic regimes
- Local disclosure of quantum memory in non-Markovian dynamics
- Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
- Verification of Continuous-Variable Quantum Memories
- Hidden Quantum Memory: Is Memory There When Somebody Looks?
- Classical and quantum thermodynamics described as a system-bath model: The dimensionless minimum work principle
- Memory effects in quantum dynamics modelled by quantum renewal processes
- Phase space measures of information flow in open systems: A quantum and classical perspective of non-Markovianity