Information scrambling vs. decoherence -- two competing sinks for entropy

• URL: http://arxiv.org/abs/2008.05559v1
• Date: Wed, 12 Aug 2020 20:11:28 GMT
• Title: Information scrambling vs. decoherence -- two competing sinks for entropy
• Authors: Akram Touil and Sebastian Deffner
• Abstract summary: We develop steps towards a thermodynamic description of information scrambling in open quantum systems. In particular, we separate the entropy production into contributions arising from scrambling and decoherence. This is complemented with a numerical study of the Sachdev-Ye-Kitaev, Maldacena-Qi, XXX, mixed field Ising, Lipkin-Meshkov-Glick models.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A possible solution of the information paradox can be sought in quantum information scrambling. In this paradigm, it is postulated that all information entering a black hole is rapidly and chaotically distributed across the event horizon making it impossible to reconstruct the information by means of any local measurement. However, in this scenario the effects of decoherence are typically ignored, which may render information scrambling moot in cosmological settings. In this work, we develop key steps towards a thermodynamic description of information scrambling in open quantum systems. In particular, we separate the entropy production into contributions arising from scrambling and decoherence, for which we derive statements of the second law. This is complemented with a numerical study of the Sachdev-Ye-Kitaev, Maldacena-Qi, XXX, mixed field Ising, Lipkin-Meshkov-Glick models in the presence of decoherence in energy or computational basis.

Related papers

• 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)
• Quantum Information Processing with Molecular Nanomagnets: an introduction [49.89725935672549]
  We provide an introduction to Quantum Information Processing, focusing on a promising setup for its implementation. We introduce the basic tools to understand and design quantum algorithms, always referring to their actual realization on a molecular spin architecture. We present some examples of quantum algorithms proposed and implemented on a molecular spin qudit hardware.
  arXiv  Detail & Related papers  (2024-05-31T16:43:20Z)
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories [0.0]
  We study quantum quench processes induced by the M"obius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories. These quantum quenches allow us to study scrambling and recovery of quantum information.
  arXiv  Detail & Related papers  (2023-02-16T00:47:50Z)
• What can we learn about islands and state paradox from quantum information theory? [10.24376036299883]
  We show that the Page curve can still be realized even if information is lost and the information paradox can be attributed to the measurement problem. Though speculative, the similarities between the black hole information problem and the measurement problem may suggest some link in the origins of the two fundamental issues of distant fields.
  arXiv  Detail & Related papers  (2021-07-20T02:03:09Z)
• Universal limitation of quantum information recovery: symmetry versus coherence [0.0]
  We show limitations on the information recovery from scrambling dynamics with arbitrary Lie group symmetries. We rigorously prove that under the energy conservation law, the error of the information recovery from a small black hole remains unignorably large until it completely evaporates. The relations also provide a unified view of the symmetry restrictions on quantum information processing.
  arXiv  Detail & Related papers  (2021-03-02T17:16:15Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• The role of boundary conditions in quantum computations of scattering observables [58.720142291102135]
  Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. As with present-day calculations, quantum computation strategies still require the restriction to a finite system size. We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
  arXiv  Detail & Related papers  (2020-07-01T17:43:11Z)
• Quantum scrambling and the growth of mutual information [0.0]
  Quantum information scrambling refers to the loss of local recoverability of quantum information. We prove that the growth of entanglement as quantified by the mutual information is lower bounded by the time-dependent change of Out-Of-Time-Ordered Correlator.
  arXiv  Detail & Related papers  (2020-02-07T16:01:26Z)
• Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits [62.997667081978825]
  We show that a controlled interaction with the environment may help to create a state, dubbed as em dark'', which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different states act as a computational basis. This approach offers new possibilities for storing, protecting and manipulating quantum information in open systems.
  arXiv  Detail & Related papers  (2020-02-01T15:57:37Z)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.