Non-Markovian Noise in Symmetry-Preserving Quantum Dynamics

• URL: http://arxiv.org/abs/2501.06619v1
• Date: Sat, 11 Jan 2025 19:00:05 GMT
• Title: Non-Markovian Noise in Symmetry-Preserving Quantum Dynamics
• Authors: William M. Watkins, Gregory Quiroz,
• Abstract summary: We develop a framework for quantifying the impact of non-Markovian noise on symmetric quantum evolution. We demonstrate analytically that symmetry-preserving noise maintains the symmetric subspace, while non-symmetric noise leads to highly conserved specific leakage errors.
• Score: 0.0
• License:
• Abstract: In quantum dynamics, symmetries are vital for identifying and assessing conserved quantities that govern the evolution of a quantum system. When promoted to the open quantum system setting, dynamical symmetries can be negatively altered by system-environment interactions, thus, complicating their analysis. Previous work on noisy symmetric quantum dynamics has focused on the Markovian setting, despite the ubiquity of non-Markovian noise in a number of widely used quantum technologies. In this study, we develop a framework for quantifying the impact of non-Markovian noise on symmetric quantum evolution via root space decompositions and the filter function formalism. We demonstrate analytically that symmetry-preserving noise maintains the symmetric subspace, while non-symmetric noise leads to highly specific leakage errors. We support our findings with a numerical study of the transverse field Ising model subject to spatiotemporally correlated noise. Our results are broadly applicable, providing new analytic insights into the control and characterization of open quantum system dynamics.

Related papers

• Quantum Noise Suppression in Non-Hermitian Resonators at Exceptional Point [0.0]
  We investigate the impact of quantum noise on non-Hermitian resonators at an exceptional point (EP) The system's irreversible Markovian dynamics is modeled using the Lindblad master equation. Out of the $mathcalPmathcalT$-symmetric regime, however, the system demonstrates stability within a specific parametric domain.
  arXiv  Detail & Related papers  (2025-01-14T15:13:10Z)
• Noise resilience in adaptive and symmetric monitored quantum circuits [0.0]
  We study the fate of the symmetry-protected absorbing state and charge-sharpening transitions in the presence of symmetry-breaking noise. We find that the net effect of noise results in coherent and incoherent symmetry-breaking effects. Despite the unavoidable noise in current quantum hardwares, our findings offer an optimistic outlook for observing symmetry-protected phases.
  arXiv  Detail & Related papers  (2024-10-18T18:00:33Z)
• Dynamical signatures of non-Markovianity in a dissipative-driven qubit [0.0]
  We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a bosonic environment. Non-Markovian features are quantified by comparing on an equal footing the predictions from diverse and complementary approaches to quantum dissipation.
  arXiv  Detail & Related papers  (2024-01-17T15:58:50Z)
• Non-Markovianity Benefits Quantum Dynamics Simulation [5.399532145408153]
  We show that non-Markovian noise with memory effects and temporal correlations can significantly improve the accuracy of quantum dynamics simulation. Our findings shed light on the importance of considering non- Markovianity in quantum dynamics simulation.
  arXiv  Detail & Related papers  (2023-11-29T13:33:14Z)
• Variational quantum simulation using non-Gaussian continuous-variable systems [39.58317527488534]
  We present a continuous-variable variational quantum eigensolver compatible with state-of-the-art photonic technology. The framework we introduce allows us to compare discrete and continuous variable systems without introducing a truncation of the Hilbert space.
  arXiv  Detail & Related papers  (2023-10-24T15:20:07Z)
• 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)
• Non-equilibrium quantum probing through linear response [41.94295877935867]
  We study the system's response to unitary perturbations, as well as non-unitary perturbations, affecting the properties of the environment. We show that linear response, combined with a quantum probing approach, can effectively provide valuable quantitative information about the perturbation and characteristics of the environment.
  arXiv  Detail & Related papers  (2023-06-14T13:31:23Z)
• Dynamics with autoregressive neural quantum states: application to critical quench dynamics [41.94295877935867]
  We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion. We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
  arXiv  Detail & Related papers  (2022-09-07T15:50:00Z)
• Symmetric Pruning in Quantum Neural Networks [111.438286016951]
  Quantum neural networks (QNNs) exert the power of modern quantum machines. QNNs with handcraft symmetric ansatzes generally experience better trainability than those with asymmetric ansatzes. We propose the effective quantum neural tangent kernel (EQNTK) to quantify the convergence of QNNs towards the global optima.
  arXiv  Detail & Related papers  (2022-08-30T08:17:55Z)
• Symmetry-resolved dynamical purification in synthetic quantum matter [1.2189422792863447]
  We show that symmetry-resolved information spreading is inhibited due to the competition of coherent and incoherent dynamics. Our work shows that symmetry plays a key role as a magnifying glass to characterize many-body dynamics in open quantum systems.
  arXiv  Detail & Related papers  (2021-01-19T19:01:09Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)

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.