On light cone bounds in quantum open systems

• URL: http://arxiv.org/abs/2503.20635v1
• Date: Wed, 26 Mar 2025 15:29:32 GMT
• Title: On light cone bounds in quantum open systems
• Authors: Israel Michael Sigal, Xiaoxu Wu,
• Abstract summary: We study propagation of quantum information in few-body Markov quantum open systems (MQOS)<n>For a large class of such systems, we prove the existence of an effective light cone with an exponentially small spill-over.<n>We also prove a Lieb-Robinson-type bound and a lower bound on the delivery time of quantum messages.
• Score: 1.3812010983144802
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study propagation of quantum information in few-body Markov quantum open systems (MQOS). For a large class of such systems, we prove the existence of an effective light cone with an exponentially small spill-over. We also prove a Lieb-Robinson-type bound and a lower bound on the delivery time of quantum messages. \par Mathematically, we describe space-time behavior of solutions of the von Neumann-Lindblad equation underlying the dynamics of MQOS, which is a natural extension of the Schr\"odinger equation and is a key example of a non-Abelian PDE of quantum physics.

Related papers

• The multimode conditional quantum Entropy Power Inequality and the squashed entanglement of the extreme multimode bosonic Gaussian channels [53.253900735220796]
  Inequality determines the minimum conditional von Neumann entropy of the output of the most general linear mixing of bosonic quantum modes. Bosonic quantum systems constitute the mathematical model for the electromagnetic radiation in the quantum regime.
  arXiv  Detail & Related papers  (2024-10-18T13:59:50Z)
• Time evolution of the von Neumann entropy in open quantum system [0.0]
  We study the time evolution of the von Neumann entropy for open quantum systems. We present a lower bound of the von Neumann entropy in the long-time limit.
  arXiv  Detail & Related papers  (2024-05-20T06:43:07Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Light cones for open quantum systems [5.449283796175883]
  We consider Markovian open quantum dynamics (MOQD) We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite speed in any finite-energy subspace.
  arXiv  Detail & Related papers  (2023-03-15T20:38:04Z)
• Simulating Open Quantum System Dynamics on NISQ Computers with Generalized Quantum Master Equations [0.0]
  We present a quantum algorithm based on the Generalized Quantum Master Equation (GQME) approach to simulate open quantum system dynamics. We show how the Sz.-Nagy dilation theorem can be employed to transform the non-unitary propagator into a unitary one in a higher-dimensional Hilbert space.
  arXiv  Detail & Related papers  (2022-09-11T22:53:16Z)
• Quantum Speed Limit under Brachistochrone Evolution [0.0]
  We propose a geometrical approach to derive a quantum speed limit (QSL) bound for closed and open quantum systems. We show that the QSL between a given initial state to a final state is determined not only by the entire dynamics of the system but also by the individual dynamics of a critical parameter.
  arXiv  Detail & Related papers  (2022-07-30T14:30:01Z)
• Maximal Speed of Propagation in Open Quantum Systems [0.0]
  We prove a maximal velocity bound for the dynamics of Markovian open quantum systems. The result says that dynamically evolving states are contained inside a suitable light cone up to errors.
  arXiv  Detail & Related papers  (2022-07-19T00:02:09Z)
• Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
  We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
  arXiv  Detail & Related papers  (2021-08-30T23:50:05Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Towards understanding the power of quantum kernels in the NISQ era [79.8341515283403]
  We show that the advantage of quantum kernels is vanished for large size datasets, few number of measurements, and large system noise. Our work provides theoretical guidance of exploring advanced quantum kernels to attain quantum advantages on NISQ devices.
  arXiv  Detail & Related papers  (2021-03-31T02:41:36Z)
• Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
  Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems. We propose an algorithm to implement imaginary time propagation on a quantum computer.
  arXiv  Detail & Related papers  (2021-02-24T12:48:00Z)
• Quantum simulation of open quantum systems in heavy-ion collisions [0.0]
  We present a framework to simulate the dynamics of hard probes such as heavy quarks or jets in a hot, strongly-coupled quark-gluon plasma (QGP) on a quantum computer. Our work demonstrates the feasibility of simulating open quantum systems on current and near-term quantum devices.
  arXiv  Detail & Related papers  (2020-10-07T18:00:02Z)
• 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.