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

• Numerical solution of quantum Landau-Lifshitz-Gilbert equation [0.0]
  Landau-Lifshitz-Gilbert (LLG) equation has long served as a cornerstone for modeling magnetization dynamics in magnetic systems.<n>Inspired by the need to incorporate quantum effects into spin dynamics, recently a quantum generalization of the LG equation is proposed.<n>We develop a robust numerical methodology tailored to this quantum LG framework.
  arXiv  Detail & Related papers  (2025-06-24T13:04:07Z)
• Approach to equilibrium in Markovian open quantum systems [0.0]
  We study the evolution of Markovian open quantum systems governed by the von Neumann-Lindblad equations.<n>Our goal is to prove the return-to-equilibrium property for systems of infinite degrees of freedom under quantum detailed balance condition.
  arXiv  Detail & Related papers  (2025-03-17T17:04:19Z)
• Real-time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm For Noisy Quantum Circuit Simulations [3.3207027476535416]
  We present a real-time quantum Monte Carlo algorithm that simulates the dynamics of open quantum systems.<n>Our algorithm uses population dynamics to continuously suppress the sign problem, preventing its accumulation throughout the evolution.
  arXiv  Detail & Related papers  (2025-02-26T08:31:23Z)
• 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)
• Calculating non-linear response functions for multi-dimensional electronic spectroscopy using dyadic non-Markovian quantum state diffusion [68.8204255655161]
  We present a methodology for simulating multi-dimensional electronic spectra of molecular aggregates with coupling electronic excitation to a structured environment. A crucial aspect of our approach is that we propagate the NMQSD equation in a doubled system Hilbert space but with the same noise.
  arXiv  Detail & Related papers  (2022-07-06T15:30:38Z)
• 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)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• Assessment of weak-coupling approximations on a driven two-level system under dissipation [58.720142291102135]
  We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation. We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
  arXiv  Detail & Related papers  (2020-11-11T22:45:57Z)
• Stoquasticity in circuit QED [78.980148137396]
  We show that scalable sign-problem free path integral Monte Carlo simulations can typically be performed for such systems. We corroborate the recent finding that an effective, non-stoquastic qubit Hamiltonian can emerge in a system of capacitively coupled flux qubits.
  arXiv  Detail & Related papers  (2020-11-02T16:41:28Z)
• 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)
• Incoherent quantum algorithm dynamics of an open system with near-term devices [0.0]
  Hybrid quantum-classical algorithms are among the most promising systems to implement quantum computing. We investigate a quantum dynamics algorithm for the density matrix obeying the von Neumann equation. We consider the dynamics of the ensemble-averaged of disordered quantum systems.
  arXiv  Detail & Related papers  (2020-08-12T14:22:42Z)
• 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)
• Lagrangian description of Heisenberg and Landau-von Neumann equations of motion [55.41644538483948]
  An explicit Lagrangian description is given for the Heisenberg equation on the algebra of operators of a quantum system, and for the Landau-von Neumann equation on the manifold of quantum states which are isospectral with respect to a fixed reference quantum state.
  arXiv  Detail & Related papers  (2020-05-04T22:46:37Z)

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.