Unidirectional information flow and positive divisibility are nonequivalent notions of quantum Markovianity for noninvertible dynamics

• URL: http://arxiv.org/abs/2209.03584v1
• Date: Thu, 8 Sep 2022 06:15:37 GMT
• Title: Unidirectional information flow and positive divisibility are nonequivalent notions of quantum Markovianity for noninvertible dynamics
• Authors: \'Angel Rivas
• Abstract summary: We construct a dynamical map which is not positive divisible and does not present information backflow either (as measured by trace norm quantifiers) This provides an evidence that the two definitions of quantum Markovianity based on absence of information backflow and positive divisibility are nonequivalent for general noninvertible dynamical maps.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We construct a dynamical map which is not positive divisible and does not present information backflow either (as measured by trace norm quantifiers). It is formulated for a qutrit system undergoing noninvertible dynamics. This provides an evidence that the two definitions of quantum Markovianity based on absence of information backflow and positive divisibility are nonequivalent for general noninvertible dynamical maps

Related papers

• Non-invertible symmetries act locally by quantum operations [0.552480439325792]
  Non-invertible symmetries of quantum field theories and many-body systems generalize the concept of symmetries. Non-invertible symmetries act on local operators by quantum operations.
  arXiv  Detail & Related papers  (2024-03-29T08:54:53Z)
• Non-Markovian quantum dynamics from symmetric measurements [0.0]
  We use symmetric measurement operators to construct quantum channels that provide a further generalization of generalized Pauli channels. We analyze their important properties, such as complete positivity and the ability to break quantum entanglement.
  arXiv  Detail & Related papers  (2024-02-06T21:26:22Z)
• Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension [44.41126861546141]
  We provide a classification of Lie algebras generated by translation-invariant 2-local spin chain Hamiltonians. We consider chains with open and periodic boundary conditions and find 17 unique dynamical Lie algebras. In addition to the closed and open spin chains, we consider systems with a fully connected topology, which may be relevant for quantum machine learning approaches.
  arXiv  Detail & Related papers  (2023-09-11T17:59:41Z)
• Dispersive Non-reciprocity between a Qubit and a Cavity [24.911532779175175]
  We present an experimental study of a non-reciprocal dispersive-type interaction between a transmon qubit and a superconducting cavity. We show that the qubit-cavity dynamics is well-described in a wide parameter regime by a simple non-reciprocal master-equation model.
  arXiv  Detail & Related papers  (2023-07-07T17:19:18Z)
• Noninvertibility and non-Markovianity of quantum dynamical maps [0.0]
  We study the production of (non-)Markovian, invertible maps by the process of mixing noninvertible Pauli maps. We consider a related and potentially helpful issue: the identification of criteria of parameterized families of maps leading to the existence of a well-defined semigroup limit.
  arXiv  Detail & Related papers  (2023-06-22T10:00:11Z)
• Physical interpretation of nonlocal quantum correlation through local description of subsystems [19.542805787744133]
  We propose the physical interpretation of nonlocal quantum correlation between two systems. Different nonlocal quantum correlations can be discriminated from a single uncertainty relation derived under local hidden state (LHS)-LHS model only.
  arXiv  Detail & Related papers  (2022-10-01T10:13:40Z)
• Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
  We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
  arXiv  Detail & Related papers  (2021-09-27T17:45:42Z)
• 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)
• Invertibility as a witness of Markovianity of the quantum dynamical maps [0.0]
  invertibility is assumed to be non-essential for Markovianity of the open-quantum-system dynamical maps. In this paper we distinguish a class of physically important dynamical maps (processes) for which invertibility is a necessary condition for Markovianity.
  arXiv  Detail & Related papers  (2020-12-13T23:02:29Z)
• Information backflow may not indicate quantum memory [1.3555538368965288]
  We analyze recent approaches to quantum Markovianity and how they relate to the proper definition of quantum memory. We provide a practical characterization of the most intuitive class in terms of the new concept of witness of quantum information backflow.
  arXiv  Detail & Related papers  (2020-08-28T13:13:59Z)
• Macro-to-micro quantum mapping and the emergence of nonlinearity [58.720142291102135]
  We show how to assign to a system a microscopic description that abides by all macroscopic constraints. As a by-product, we show how effective nonlinear dynamics can emerge from the linear quantum evolution.
  arXiv  Detail & Related papers  (2020-07-28T17:22:49Z)

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.