On the relation between quantum Darwinism and approximate quantum Markovianity
arXiv:2207.02470 · doi:10.1016/j.physleta.2023.129204
Abstract
There are strong evidences in the literature that quantum non-Markovianity would hinder the presence of Quantum Darwinism. In this Letter, we study the relation between quantum Darwinism and approximate quantum Markovianity for open quantum systems by exploiting the properties of quantum conditional mutual information. We show that for approximately Markovian quantum processes the conditional mutual information still has the scaling property for Quantum Darwinism. Then two general bounds on the backflow of information are obtained, with which we can show that the presence of Quantum Darwinism restricts the information backflow and the quantum non-Markovianity must be small.
arXiv comment8 pages, typos fixed
References in corpus (46)
- Decoherence, einselection, and the quantum origins of the classical
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Quantum Darwinism
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
- Quantum conditional mutual information and approximate Markov chains
- Continuity of quantum conditional information
- Objective properties from subjective quantum states: Environment as a witness
- Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information
- Generic emergence of classical features in quantum Darwinism
- Environment as a Witness: Selective Proliferation of Information and Emergence of Objectivity in a Quantum Universe
- Universal recovery maps and approximate sufficiency of quantum relative entropy
- A simple example of "Quantum Darwinism": Redundant information storage in many-spin environments
- On complete positivity, Markovianity, and the quantum data-processing inequality, in the presence of initial system-environment correlations
- Quantum Darwinism in an Everyday Environment: Huge Redundancy in Scattered Photons
- Quantum Darwinism in a hazy environment
- Quantum Darwinism in quantum Brownian motion: the vacuum as a witness
- The Rise and Fall of Redundancy in Decoherence and Quantum Darwinism
- Revealing the emergence of classicality in nitrogen-vacancy centers
- Quantum Darwinism in non-ideal environments
- Approximate reversibility in the context of entropy gain, information gain, and complete positivity
- The Objective Past of a Quantum Universe: Redundant Records of Consistent Histories
- Redundant Information from Thermal Illumination: Quantum Darwinism in Scattered Photons
- Roads to objectivity: Quantum Darwinism, Spectrum Broadcast Structures, and Strong quantum Darwinism -- a review
- Eavesdropping on the Decohering Environment: Quantum Darwinism, Amplification, and the Origin of Objective Classical Reality
- Application of quantum Darwinism to a structured environment
- Amplification, Redundancy, and the Quantum Chernoff Information
- Non-Markovianity hinders Quantum Darwinism
- The role of information back-flow in the emergence of quantum Darwinism
- Objectivity in non-Markovian spin-boson model
- Almost Markovian processes from closed dynamics
- Generic emergence of objectivity of observables in infinite dimensions
- Amplification, Decoherence, and the Acquisition of Information by Spin Environments
- Quantum Darwinism and non-Markovian dissipative dynamics from quantum phases of the spin-1/2 XX model
- Redundancy of einselected information in quantum Darwinism: The irrelevance of irrelevant environment bits
- Redundantly amplified information suppresses quantum correlations in many-body systems
- Quantum Darwinism and non-Markovianity in a model of quantum harmonic oscillators
- Classical branch structure from spatial redundancy in a many-body wavefunction
- Emergent classicality in general multipartite states and channels
- Correlations, information backflow, and objectivity in a class of pure dephasing models
- Quantifying non-Markovianity via conditional mutual information
- Refined diamond norm bounds on the emergence of objectivity of observables
- Amplification, inference, and the manifestation of objective classical information
- The meaning of redundancy and consensus in quantum objectivity
- Emergence of Objectivity for Quantum Many-Body Systems
- Classical and quantum parts of conditional mutual information for open quantum systems