Quantifying non-Markovianity via local quantum Fisher information

• URL: http://arxiv.org/abs/2409.10163v1
• Date: Mon, 16 Sep 2024 10:53:05 GMT
• Title: Quantifying non-Markovianity via local quantum Fisher information
• Authors: Yassine Dakir, Abdallah Slaoui, Lalla Btissam Drissi, Rachid Ahl Laamara,
• Abstract summary: We present a novel metric for quantifying non-Markovianity based on local quantum Fisher information (LQFI) By comparing the LQFI-based measure to the LQU-based measure, we demonstrate its effectiveness in detecting non-Markovianity. We show that a positive time derivative of LQFI signals the flow of information from the environment to the system.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: Non-Markovian dynamics in open quantum systems arise when the system's evolution is influenced by its past interactions with the environment. Here, we present a novel metric for quantifying non-Markovianity based on local quantum Fisher information (LQFI). The proposed metric offers a distinct perspective compared to existing measures, providing a deeper understanding of information flow between the system and its environment. By comparing the LQFI-based measure to the LQU-based measure, we demonstrate its effectiveness in detecting non-Markovianity and its ability to capture the degree of non-Markovian behavior in various quantum channels. Furthermore, we show that a positive time derivative of LQFI signals the flow of information from the environment to the system, providing a clear interpretation of non-Markovian dynamics. Finally, the computational efficiency of the LQFI-based measure makes it a practical tool for characterizing non-Markovianity in diverse physical systems.

Related papers

• 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)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
  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)
• Quantum Fisher Information for Different States and Processes in Quantum Chaotic Systems [77.34726150561087]
  We compute the quantum Fisher information (QFI) for both an energy eigenstate and a thermal density matrix. We compare our results with earlier results for a local unitary transformation.
  arXiv  Detail & Related papers  (2023-04-04T09:28:19Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Global Correlation and Local Information Flows in Controllable Non-Markovian Open Quantum Dynamics [4.821566890862833]
  We show that the non-Markovianity could be investigated from the global and local aspects. By mixing random unitary dynamics, we demonstrate non-Markovian and Markovian open quantum dynamics.
  arXiv  Detail & Related papers  (2022-02-28T13:19:39Z)
• Suppressing information storage in a structured thermal bath: Objectivity and non-Markovianity [0.0]
  Non-Markovian information can be captured by non-Markovian witnesses. We show how such behavior suppresses the classic plateau in Partial Information Plot (PIP) from the paradigm of quantum Darwinism. In addition to the system point of view, we show the impossibility of encoding accessible information for measurement in the environment for any model limit.
  arXiv  Detail & Related papers  (2021-10-07T14:16:00Z)
• Preserving quantum correlations and coherence with non-Markovianity [50.591267188664666]
  We demonstrate the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For covariant qubit evolutions, we show that non-Markovianity can be used to preserve quantum coherence at all times.
  arXiv  Detail & Related papers  (2021-06-25T11:52:51Z)
• 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)
• Dynamics of quantum Fisher information in the two-qubit systems constructed from the Yang-Baxter matrices [0.0]
  We use the quantum Yang-Baxterization approach to the three different Hamiltonians. We investigate the behavior of the quantum Fisher information (QFI) under the actions of these Hamiltonians. We show that the Hamiltonians constructed with Yang-Baxter matrices influence the dynamics of the system in the sense of the Markovianity and non-Markovianity.
  arXiv  Detail & Related papers  (2020-08-26T08:32:36Z)
• An inverse-system method for identification of damping rate functions in non-Markovian quantum systems [2.7068170693404197]
  We present an inverse-system method to identify damping rate functions which describe non-Markovian environments. We show that identifiability for the damping rate functions corresponds to the invertibility of the system. The effectiveness of our method is shown in examples of an atom and three-spin-chain non-Markovian systems.
  arXiv  Detail & Related papers  (2020-03-19T07:53:10Z)
• In and out of equilibrium quantum metrology with mean-field quantum criticality [68.8204255655161]
  We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
  arXiv  Detail & Related papers  (2020-01-09T19:20:42Z)

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.