Local disclosure of quantum memory in non-Markovian dynamics
arXiv:2310.01205 · doi:10.1103/PhysRevLett.132.060402
Abstract
Non-Markovian processes may arise in physics due to memory effects of environmental degrees of freedom. For quantum non-Markovianity, it is an ongoing debate to clarify whether such memory effects have a verifiable quantum origin, or whether they might equally be modeled by a classical memory. In this contribution, we propose a criterion to test locally for a truly quantum memory. The approach is agnostic with respect to the environment, as it solely depends on the local dynamics of the system of interest. Experimental realizations are particularly easy, as only single-time measurements on the system itself have to be performed. We study memory in a variety of physically motivated examples, both for a time-discrete case, and for time-continuous dynamics. For the latter, we are able to provide an interesting class of non-Markovian master equations with classical memory that allows for a physically measurable quantum trajectory representation.
References in corpus (55)
- Quantum Computing in the NISQ era and beyond
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- Trapped-Ion Quantum Computing: Progress and Challenges
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum Computational Supremacy
- Non-Markovian Quantum State Diffusion
- Canonical form of master equations and characterization of non-Markovianity
- Quantum Error Correction: An Introductory Guide
- Concepts of quantum non-Markovianity: a hierarchy
- Resilient Quantum Computation: Error Models and Thresholds
- Stochastic wave function method for non-Markovian quantum master equations
- Non-Markovian quantum jumps
- A simple model of quantum trajectories
- The non-Markovian stochastic Schrodinger equation for open systems
- Geometrical characterization of non-Markovianity
- Foundations and Measures of Quantum Non-Markovianity
- Markovian and non-Markovian dynamics in quantum and classical systems
- Genuine quantum trajectories for non-Markovian processes
- Entanglement of assistance and multipartite state distillation
- Quantum Semi-Markov Processes
- Collision model for non-Markovian quantum dynamics
- Quantum Lost and Found
- Non-Markovian random unitary qubit dynamics
- Harnessing non-Markovian quantum memory by environmental coupling
- Eternal non-Markovianity: from random unitary to Markov chain realisations
- Pure-state quantum trajectories for general non-Markovian systems do not exist
- Using an atom interferometer to infer gravitational entanglement generation
- 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)
- Generalized master equations leading to completely positive dynamics
- Non-Markovian continuous quantum measurement of retarded observables
- Sufficient conditions for memory kernel master equation
- A classical appraisal of quantum definitions of non-Markovian dynamics
- Continuous quantum error correction for non-Markovian decoherence
- Non Markovian Quantum Repeated Interactions and Measurements
- Witnessing quantum memory in non-Markovian processes
- Mixing-induced quantum non-Markovianity and information flow
- Rate operator unravelling for open quantum system dynamics
- Convex Combinations of Pauli Semigroups: Geometry, Measure and an Application
- How many bits does it take to track an open quantum system?
- Decoherence and Entanglement Dynamics in Fluctuating Fields
- Simple and maximally robust processes with no classical common-cause or direct-cause explanation
- Stochastic unravellings of non-Markovian completely positive and trace preserving maps
- Quantum Jumps Are More Quantum Than Quantum Diffusion
- Non-Markovian quantum trajectories, instruments and time-continuous measurements
- Collision model approach to steering of an open driven qubit
- On the connection between microscopic description and memory effects in open quantum system dynamics
- Evolution equations for quantum semi-Markov dynamics
- Continuous quantum measurement for general Gaussian unravelings can exist
- A non-Markovian quantum trajectory approach to radiation into structured continuum
- Quantum trajectories for time-local non-Lindblad master equations
- Memory effects in quantum dynamics modelled by quantum renewal processes
Cited by in corpus (10)
- Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
- Machine learning of quantum channels on NISQ devices
- Hamiltonian characterisation of multi-time processes with classical memory
- Reproducing Kernel Hilbert Space Approach to Non-Markovian Quantum Stochastic Models
- Entanglement-breaking channels are a quantum memory resource
- Entropic witness for quantum memory in open system dynamics
- Correlated and Critical Phenomena in Multipartite Quantum Non-Markovianity
- Verifying Quantum Memory in the Dynamics of Spin Boson Models
- Divisibility of dynamical maps: Schrödinger vs. Heisenberg picture
- Superactivation of memory effects in a classical Markov environment