Locality of deep thermalisation through the lens of entanglement teleportation

• URL: http://arxiv.org/abs/2607.15276v1
• Date: Thu, 16 Jul 2026 17:59:16 GMT
• Title: Locality of deep thermalisation through the lens of entanglement teleportation
• Abstract summary: We show that the onset of deep thermalisation in a subsystem is fundamentally bounded by measurement-induced entanglement teleportation.<n>While measurements on the environment generate entanglement across the disconnected partitions, we demonstrate that generic locally interacting systems exhibit an emergent locality.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Deep thermalisation characterises the emergence of universal quantum state ensembles on subsystems due to projective measurements on their complement. We study the notion of locality, or lack thereof, in this phenomenon by considering a subsystem partitioned into two disjoint subregions which remain causally disconnected at all times under unitary dynamics. We show that the onset of deep thermalisation in this geometry is fundamentally bounded by measurement-induced entanglement teleportation between the subregions. While measurements on the environment generate entanglement across the disconnected partitions -- suggesting an apparent non-locality -- we demonstrate that generic locally interacting systems exhibit an emergent locality. Specifically, the timescales for both deep thermalisation and entanglement teleportation scale logarithmically with the distance separating the subregions. Exceptions to this include special circuits where the randomness of the measurement outcomes is perfectly transmitted to the ensemble of states of the subsystem, conditioned on the outcomes; in such cases the timescale for deep thermalisation is finite leading to genuine non-locality.

Related papers

• Measurements on the separated subsystems of an entangled state [0.0]
  The entangled states of composite quantum systems are well studied.<n>While entangled, they can be physically separated and measurements performed on separated subsystems.<n>It has not been clear how to elucidate the relevant states of the separated subsystems.
  arXiv  Detail & Related papers  (2026-09-03T17:56:28Z)
• Hysteretic squashed entanglement in many-body quantum systems [42.085941481155295]
  Entanglement in many-body quantum systems is distributed across spatial regions.<n>We propose hysteretic entanglement $T_sq$, a conditional entanglement that measures the genuine quantum correlations between two subregions.<n>We show that $T_sq$ can detect genuine quantum correlations across both adjacent and long-range subsystems.
  arXiv  Detail & Related papers  (2026-03-10T17:00:49Z)
• Temporal Entanglement from Holographic Entanglement Entropy [44.99833362998488]
  We propose a systematic prescription to characterize temporal entanglement in quantum field theory.<n>For holographic quantum field theories, our prescription amounts to an analytic continuation of all co-dimension-two bulk extremal surfaces.<n>We show that it leads to results with self-consistent physical properties of temporal entanglement.
  arXiv  Detail & Related papers  (2025-07-23T18:14:21Z)
• Mixed state deep thermalization [0.10923877073891443]
  Mixed state projected ensemble (MSPE) is a collection of mixed states describing a local region of a quantum many-body system.<n>We study the MSPE generated by solvable (1+1)d dual-unitary quantum circuit evolution.<n>We investigate the quantum information properties of the states composing the ensemble, specifically their capacity to teleport quantum information.
  arXiv  Detail & Related papers  (2025-05-12T17:45:24Z)
• Projected ensemble in a system with conserved charges with local support [0.0]
  We study the projected ensemble in systems where there are an extensive number of conserved charges.<n>We find that the projected ensemble constructed from time-evolved states converges to a Scrooge ensemble at late times.<n>This is in contrast to systems with global conserved charges where the ensemble varies continuously with the measurement basis.
  arXiv  Detail & Related papers  (2025-01-03T14:13:50Z)
• Tensor Product Structure Geometry under Unitary Channels [0.0]
  Locality is typically defined with respect to a product structure (TPS) which identifies the local subsystems of the quantum system.<n>We show that this TPS distance is related to scrambling properties of the dynamics between the local subsystems and coincides with the power of entangling of 2-unitaries.<n>For Hamiltonian evolutions at short times, the characteristic timescale of the TPS distance depends on scrambling rates determined by the strength of interactions between the local subsystems.
  arXiv  Detail & Related papers  (2024-10-03T19:02:22Z)
• Nonlocality of Deep Thermalization [0.0]
  We study the role of global system topology in governing deep thermalization.<n>Deep thermalization is achieved exponentially quickly in the presence of either periodic or open boundary conditions.
  arXiv  Detail & Related papers  (2023-05-15T08:32:05Z)
• 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)
• Localisation in quasiperiodic chains: a theory based on convergence of local propagators [68.8204255655161]
  We present a theory of localisation in quasiperiodic chains with nearest-neighbour hoppings, based on the convergence of local propagators. Analysing the convergence of these continued fractions, localisation or its absence can be determined, yielding in turn the critical points and mobility edges. Results are exemplified by analysing the theory for three quasiperiodic models covering a range of behaviour.
  arXiv  Detail & Related papers  (2021-02-18T16:19:52Z)
• Signatures of bath-induced quantum avalanches in a many-body--localized system [47.187609203210705]
  Quantum avalanches occur when the system is locally coupled to a small thermal inclusion that acts as a bath. We realize an interface between a many-body--localized system and a thermal inclusion of variable size, and study its dynamics.
  arXiv  Detail & Related papers  (2020-12-30T18:34:34Z)
• Observing localisation in a 2D quasicrystalline optical lattice [52.77024349608834]
  We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold symmetric optical lattice. We find extended states for weak lattices but observe a localisation transition at a lattice depth of $V_0.78(2),E_mathrmrec$ for the non-interacting system.
  arXiv  Detail & Related papers  (2020-01-29T15:54:42Z)

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.