Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation

• URL: http://arxiv.org/abs/2405.01722v2
• Date: Tue, 11 Jun 2024 17:23:58 GMT
• Title: Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
• Authors: A. Keefe, N. Agarwal, A. Kamal,
• Abstract summary: 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.
• Score: 0.40964539027092917
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Memory or time-non-local effects in open quantum dynamics pose theoretical as well as practical challenges in the understanding and control of noisy quantum systems. While there has been a comprehensive and concerted effort towards developing diagnostics for non-Markovian dynamics, all existing measures rely on time-domain measurements which are typically slow and expensive as they require averaging several runs to resolve small transient features on a broad background, and scale unfavorably with system size and complexity. In this work, we propose a spectroscopic measure of non-Markovianity which can detect persistent non-Markovianity in the system steady state. In addition to being experimentally viable, the proposed measure has a direct information theoretic interpretation: a large value indicates the information loss per unit bandwidth of making the Markov approximation. In the same vein, we derive a frequency-domain quantum master equation (FD-QME) that goes beyond the standard Born-Redfield description and retains the full memory of the state of the reduced system. Using the FD-QME and the proposed measure, we are able to reliably diagnose and quantify non-Markovianity in several system-environment settings including those with environmental correlations and retardation effects.

Related papers

• Going beyond quantum Markovianity and back to reality: An exact master equation study [0.0]
  An analytical depiction of an open quantum system is provided. The steady-state excitation number (AEN) of the system shows rapid escalation with increasing non-Markovianity. The Mpemba effect can be observed in the non-Markovian regime in a surprisingly super-cooling-like effect.
  arXiv  Detail & Related papers  (2024-11-26T08:10:35Z)
• Observation of disorder-free localization and efficient disorder averaging on a quantum processor [117.33878347943316]
  We implement an efficient procedure on a quantum processor, leveraging quantum parallelism, to efficiently sample over all disorder realizations. We observe localization without disorder in quantum many-body dynamics in one and two dimensions.
  arXiv  Detail & Related papers  (2024-10-09T05:28:14Z)
• Quantifying non-Markovianity via local quantum Fisher information [0.0]
  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.
  arXiv  Detail & Related papers  (2024-09-16T10:53:05Z)
• Cahier de l'Institut Pascal: Noisy Quantum Dynamics and Measurement-Induced Phase Transitions [44.99833362998488]
  We provide an analysis of recent results in the context of measurement-induced phase transitions in quantum systems. Recent results show how varying the rate of projective measurements can induce phase transitions. We present results on the non-local effects of local measurements by examining the field theory of critical ground states in Tomonaga-Luttinger liquids.
  arXiv  Detail & Related papers  (2024-09-10T08:10:25Z)
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps [46.350147604946095]
  We introduce Lindblad-like quantum tomography (L$ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors. We discuss L$ell$QT for the dephasing dynamics of single qubits in detail, which allows for a neat understanding of the importance of including multiple snapshots of the quantum evolution in the likelihood function.
  arXiv  Detail & Related papers  (2024-03-28T19:29:12Z)
• 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)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• Criticality-Enhanced Quantum Sensing via Continuous Measurement [1.433758865948252]
  We propose a protocol for criticality-enhanced sensing via continuous observation of the emitted radiation quanta. We derive universal scaling laws featuring transient and long-time behavior governed by the underlying critical exponents. Our protocol is applicable to generic quantum-optical open sensors permitting continuous readout.
  arXiv  Detail & Related papers  (2021-08-13T18:01:02Z)
• Scaling of temporal entanglement in proximity to integrability [0.0]
  We analytically compute the exact IM for a family of integrable Floquet models. We show that the IM exhibits area-law temporal entanglement scaling for all parameter values. Near criticality, a non-trivial scaling behavior of temporal entanglement is found.
  arXiv  Detail & Related papers  (2021-04-15T17:16:57Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• 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)

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.