Efficient measure of information backflow with quasi-stochastic process

• URL: http://arxiv.org/abs/2501.09374v1
• Date: Thu, 16 Jan 2025 08:39:02 GMT
• Title: Efficient measure of information backflow with quasi-stochastic process
• Authors: Kelvin Onggadinata, Teck Seng Koh,
• Abstract summary: characterization and quantification of non-Markovian dynamics in open quantum systems is a topical issue. A standard approach based on the notion of information backflow detects the flow of information from the environment back to the system. We propose an alternative witness and measure of information backflow that is explicitly state-independent by utilizing the concept of quasiprobability representation.
• Score: 0.0
• License:
• Abstract: Characterization and quantification of non-Markovian dynamics in open quantum systems is a topical issue in the rapidly developing field of quantum computation and quantum communication. A standard approach based on the notion of information backflow detects the flow of information from the environment back to the system. Numerous measures of information backflow have been proposed using different definitions of distinguishability between pairs of quantum states. These measures, however, necessitate optimization over the state space which can be analytically challenging or numerically demanding. Here, we propose an alternative witness and measure of information backflow that is explicitly state-independent by utilizing the concept of quasiprobability representation and recent advances in the theory of majorization for quasiprobabilities. We illustrate its use over several paradigmatic examples, demonstrating consistent Markovian conditions with known results and also reported necessary and sufficient condition for qutrit system in random unitary channel. The paper concludes with discussions on the foundational implications of quantum dynamical evolution.

Related papers

• Enhanced Quantum Parameter Estimation via Dynamical Modulation [3.93042397391066]
  In quantum theory, the inescapable interaction between a system and its surroundings would lead to a loss of coherence and leakage of information into the environment. We propose a general dynamical modulation scheme that enables the enhancement of estimation precision irrespective of the origin of the parameters to be estimated.
  arXiv  Detail & Related papers  (2025-01-10T02:34:18Z)
• Dissipation-induced Quantum Homogenization for Temporal Information Processing [44.99833362998488]
  Quantum reservoirs have great potential as they utilize the complex real-time dissipative dynamics of quantum systems for information processing and target time-series generation without precise control or fine-tuning of the Hamiltonian parameters. We propose the disordered quantum homogenizer as an alternative platform, and prove it satisfies the necessary and sufficient conditions - stability and contractivity - of the reservoir dynamics. The results indicate that the quantum homogenization protocol, physically implementable as either nuclear magnetic resonance ensemble or a photonic system, can potentially function as a reservoir computer.
  arXiv  Detail & Related papers  (2024-12-13T09:05:41Z)
• Quantum information scrambling in adiabatically-driven critical systems [49.1574468325115]
  Quantum information scrambling refers to the spread of the initially stored information over many degrees of freedom of a quantum many-body system. Here, we extend the notion of quantum information scrambling to critical quantum many-body systems undergoing an adiabatic evolution.
  arXiv  Detail & Related papers  (2024-08-05T18:00:05Z)
• Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation [0.40964539027092917]
  Memory or time-non-local effects in open quantum dynamics pose theoretical as well as practical challenges. We propose a spectroscopic measure of non-Markovianity which can detect persistent non-Markovianity in the system steady state.
  arXiv  Detail & Related papers  (2024-05-02T20:38:26Z)
• An operational definition of quantum information scrambling [0.0]
  Quantum information scrambling (QIS) is a characteristic feature of several quantum systems. We propose a novel and computationally efficient QIS quantifier based on a formulation of QIS in terms of quantum state discrimination. We show that the optimal guessing probability, which reflects the degree of QIS induced by an isometric quantum evolution, is directly connected to the accessible min-information.
  arXiv  Detail & Related papers  (2023-12-18T19:00:01Z)
• Quantifying High-Order Interdependencies in Entangled Quantum States [43.70611649100949]
  We introduce the Q-information: an information-theoretic measure capable of distinguishing quantum states dominated by synergy or redundancy. We show that quantum systems need at least four variables to exhibit high-order properties. Overall, the Q-information sheds light on novel aspects of the internal organisation of quantum systems and their time evolution.
  arXiv  Detail & Related papers  (2023-10-05T17:00:13Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system. This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Probing non-Markovian quantum dynamics with data-driven analysis: Beyond "black-box" machine learning models [0.0]
  We propose a data-driven approach to the analysis of the non-Markovian dynamics of open quantum systems. Our method allows, on the one hand, capturing the effective dimension of the environment and the spectrum of the joint system-environment quantum dynamics. We demonstrate the performance of the proposed approach with various models of open quantum systems.
  arXiv  Detail & Related papers  (2021-03-26T14:27:33Z)
• Tracing Information Flow from Open Quantum Systems [52.77024349608834]
  We use photons in a waveguide array to implement a quantum simulation of the coupling of a qubit with a low-dimensional discrete environment. Using the trace distance between quantum states as a measure of information, we analyze different types of information transfer.
  arXiv  Detail & Related papers  (2021-03-22T16:38:31Z)
• A discrete memory-kernel for multi-time correlations in non-Markovian quantum processes [0.0]
  We show that the transfer-tensor method can be extended to processes which include multiple interrogations. Our approach exploits the process-tensor description of open quantum processes to represent and propagate the dynamics.
  arXiv  Detail & Related papers  (2020-07-07T07:00:34Z)
• Gaussian Process States: A data-driven representation of quantum many-body physics [59.7232780552418]
  We present a novel, non-parametric form for compactly representing entangled many-body quantum states. The state is found to be highly compact, systematically improvable and efficient to sample. It is also proven to be a universal approximator' for quantum states, able to capture any entangled many-body state with increasing data set size.
  arXiv  Detail & Related papers  (2020-02-27T15:54:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.