Multipartite entanglement measures based on the thermodynamic framework

• URL: http://arxiv.org/abs/2601.22583v1
• Date: Fri, 30 Jan 2026 05:26:29 GMT
• Title: Multipartite entanglement measures based on the thermodynamic framework
• Authors: Chen-Ming Bai, Yu Luo,
• Abstract summary: We introduce a unified method to characterize and measure multipartite entanglement using the framework of thermodynamics.<n>A family of the new entanglement measures is proposed: textitergotropic-gap concentratable entanglement
• Score: 4.908885505207505
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we introduce a unified method to characterize and measure multipartite entanglement using the framework of thermodynamics. A family of the new entanglement measures is proposed: \textit{ergotropic-gap concentratable entanglement}. Furthermore, we establish that ergotropic-gap concentratable entanglement constitutes a well-defined entanglement measure within a specific parameter regime, satisfying key properties including continuity, majorization monotonicity and monogamy. We demonstrate the utility of this measure by showing it effectively distinguishes between multi-qubit Greenberger-Horne-Zeilinger states and W states. It also proves effective in detecting entanglement in specific classes of four-partite star quantum network states.

Related papers

• Bond Additivity and Persistent Geometric Imprints of Entanglement in Quantum Thermalization [4.588127679007806]
  We introduce a powerful framework, termed multi-bi partition entanglement tomography.<n>Our cornerstone is the discovery of a bond-additive law''<n>We apply this framework to Hamiltonian dynamics, random quantum circuits, and Floquet dynamics.
  arXiv  Detail & Related papers  (2026-01-04T01:59:52Z)
• A family of two-parameter multipartite entanglement measures [8.087196028995395]
  We propose a family of two- parameter multipartite entanglement measures for mixed states, termed unified-entropy concentratable entanglements.<n>We demonstrate that the unified-entropy concentratable entanglements can effectively distinguish between multi-qubit Greenberger-Horne-Zeilinger (GHZ) states and W states.<n>We find that the unified-entropy concentratable entanglements exhibit greater sensitivity than the original concentratable entanglements in detecting certain four-partite star quantum network states.
  arXiv  Detail & Related papers  (2025-11-12T15:31:24Z)
• Thermodynamic Signatures of Gaussian Entanglement Beyond Entropy [0.0]
  We introduce an entropy-free criterion for entanglement detection in bipartite Gaussian states.<n>We extend our analysis to certain non-Gaussian states and observe analogous energy-based signatures of quantum correlations.
  arXiv  Detail & Related papers  (2025-05-30T13:43:36Z)
• Multiparticle entanglement classification with ergotropic gap [4.485833881424715]
  The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap. We show that all the marginal ergotropic gaps form a convex polytope for each class of quantum states that are equivalent under local operations and classical communication.
  arXiv  Detail & Related papers  (2024-06-19T08:13:08Z)
• Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
  We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement. We show that the passage to the monitored universality occurs abruptly at finite partial post-selection. Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
  arXiv  Detail & Related papers  (2023-12-21T16:53:42Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.<n>This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Universal features of entanglement entropy in the honeycomb Hubbard model [44.99833362998488]
  This paper introduces a new method to compute the R'enyi entanglement entropy in auxiliary-field quantum Monte Carlo simulations. We demonstrate the efficiency of this method by extracting, for the first time, universal subleading logarithmic terms in a two dimensional model of interacting fermions.
  arXiv  Detail & Related papers  (2022-11-08T15:52:16Z)
• Thermodynamic Signatures of Genuinely Multipartite Entanglement [0.0]
  Theory of bipartite entanglement shares profound similarities with thermodynamics. We propose thermodynamic quantities that capture signature of genuineness in multipartite entangled states.
  arXiv  Detail & Related papers  (2022-05-11T06:35:02Z)
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
  We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
  arXiv  Detail & Related papers  (2021-04-21T10:36:57Z)
• Exact thermal properties of free-fermionic spin chains [68.8204255655161]
  We focus on spin chain models that admit a description in terms of free fermions. Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
  arXiv  Detail & Related papers  (2021-03-30T13:15:44Z)
• Efficient estimation of multipartite quantum coherence [3.948541278345575]
  We propose a systematic theoretical approach to efficiently estimating lower and upper bounds of coherence in multipartite states. Under the stabilizer formalism, the lower bound is determined by the spectrum estimation method with a small number of measurements. We experimentally implement various multi-qubit entangled states, including the Greenberger-Horne-Zeilinger state, the cluster state, and the W state, and show how their coherence are efficiently inferred from measuring few observables.
  arXiv  Detail & Related papers  (2020-10-06T10:45:43Z)

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.