Related papers: Any Quantum Many-Body State under Local Dissipation will be Disentangled in Finite Time

Any Quantum Many-Body State under Local Dissipation will be Disentangled in Finite Time

URL: http://arxiv.org/abs/2409.12639v1
Date: Thu, 19 Sep 2024 10:32:52 GMT
Title: Any Quantum Many-Body State under Local Dissipation will be Disentangled in Finite Time
Authors: Zongping Gong, Yuto Ashida,
Abstract summary: We prove that any quantum many-spin state under genetic local dissipation will be fully separable after a finite time independent of the system size. This result is rigorously derived by combining a state-reconstruction identity based on random measurements and the convergence bound for quantum channels.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We prove that any quantum many-spin state under genetic local dissipation will be fully separable after a finite time independent of the system size. Such a sudden death of many-body entanglement occurs universally provided that there is a finite damping gap and the unique steady-state density matrix is of full rank. This result is rigorously derived by combining a state-reconstruction identity based on random measurements and the convergence bound for quantum channels. Related works and possible generalizations are also discussed.

Related papers

Absolute dimensionality of quantum ensembles [41.94295877935867]
The dimension of a quantum state is traditionally seen as the number of superposed distinguishable states in a given basis. We propose an absolute, i.e.basis-independent, notion of dimensionality for ensembles of quantum states.
arXiv Detail & Related papers (2024-09-03T09:54:15Z)
Critical Fermions are Universal Embezzlers [44.99833362998488]
We show that universal embezzlers are ubiquitous in many-body physics. The same property holds in locally-interacting, dual spin chains via the Jordan-Wigner transformation.
arXiv Detail & Related papers (2024-06-17T17:03:41Z)
Finite frequentism explains quantum probability [0.0]
I show that frequentism can be extended in a natural way to a decoherent quantum history space. The Gibbs concept of an infinite ensemble of gases is replaced by the quantum state expressed as a superposition of a finite number of decohering microstates.
arXiv Detail & Related papers (2024-04-19T15:37:02Z)
Embezzling entanglement from quantum fields [41.94295877935867]
Embezzlement of entanglement refers to the counterintuitive possibility of extracting entangled quantum states from a reference state of an auxiliary system. We uncover a deep connection between the operational task of embezzling entanglement and the mathematical classification of von Neumann algebras.
arXiv Detail & Related papers (2024-01-14T13:58:32Z)
Distribution of quantum gravity induced entanglement in many-body systems [14.37149160708975]
We show that two distant test masses, each in a spatially superposed quantum state, become entangled due to their mutual gravitational interaction. We extend this treatment to a many-body system in a general setup and study the entanglement properties of the time-evolved state.
arXiv Detail & Related papers (2023-11-14T16:37:32Z)
Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
arXiv Detail & Related papers (2023-03-13T12:45:25Z)
Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
arXiv Detail & Related papers (2022-11-14T15:18:11Z)
Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
Dual-unitary circuits are a class of locally-interacting quantum many-body systems. In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics. We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
arXiv Detail & Related papers (2022-07-29T18:20:09Z)
Canonical density matrices from eigenstates of mixed systems [0.0]
We study the emergence of thermal states in the regime of a quantum analog of a mixed phase space. Our system can be tuned by means of a single parameter from quantum integrability to quantum chaos.
arXiv Detail & Related papers (2021-03-10T10:19:05Z)
Ubiquitous quantum scarring does not prevent ergodicity [0.0]
In a classically chaotic system that is ergodic, any trajectory will be arbitrarily close to any point of the available phase space after a long time. This simplified picture was shaken by the discovery of quantum scarring. Our results show instead that all eigenstates of the chaotic Dicke model are actually scarred.
arXiv Detail & Related papers (2020-09-01T18:00:30Z)
On lower semicontinuity of the quantum conditional mutual information and its corollaries [0.0]
We show that the recently established lower semicontinuity of the quantum conditional mutual information implies (in fact) the lower semicontinuity of the loss of the quantum (conditional) mutual information under local channels. New continuity conditions for the quantum mutual information and for the squashed entanglement in both bipartite and multipartite infinite-dimensional systems are obtained.
arXiv Detail & Related papers (2020-01-23T17:34:54Z)

This list is automatically generated from the titles and abstracts of the papers in this site.