Entanglement Polygon Inequalities for A Class of Mixed States

• URL: http://arxiv.org/abs/2407.03972v1
• Date: Thu, 4 Jul 2024 14:46:46 GMT
• Title: Entanglement Polygon Inequalities for A Class of Mixed States
• Authors: Xian Shi,
• Abstract summary: We consider the property for a class of mixed states, which are the reduced density matrices of generalized W-class states in multipartite higher dimensional systems. First we show the class of mixed states satisfies the entanglement polygon inequalities in terms of Tsallis-q entanglement, then we propose a class of tighter inequalities for mixed states in terms of Tsallis-q entanglement. At last, we get an inequality for the mixed states, which can be regarded as a relation for bipartite entanglement.
• Score: 0.9790236766474201
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: The study on the entanglement polygon inequality of multipartite systems has attracted much attention. However, most of the results are on pure states. Here we consider the property for a class of mixed states, which are the reduced density matrices of generalized W-class states in multipartite higher dimensional systems. First we show the class of mixed states satisfies the entanglement polygon inequalities in terms of Tsallis-q entanglement, then we propose a class of tighter inequalities for mixed states in terms of Tsallis-q entanglement. At last, we get an inequality for the mixed states, which can be regarded as a relation for bipartite entanglement.

Related papers

• Practical Criteria for Entanglement and Nonlocality in Systems with Additive Observables [44.99833362998488]
  For general bipartite mixed states, a sufficient and necessary mathematical condition for certifying entanglement and/or (Bell) non-locality remains unknown. We derive very simple, handy criteria for detecting entanglement or non-locality in many cases. We illustrate these results by analyzing the potential detection of entanglement and nonlocality in Higgs to ZZ decays at the LHC.
  arXiv  Detail & Related papers  (2025-03-21T16:48:04Z)
• Pure state entanglement and von Neumann algebras [41.94295877935867]
  We develop the theory of local operations and classical communication (LOCC) for bipartite quantum systems represented by commuting von Neumann algebras. Our central result is the extension of Nielsen's Theorem, stating that the LOCC ordering of bipartite pure states is equivalent to the majorization of their restrictions. In the appendix, we provide a self-contained treatment of majorization on semifinite von Neumann algebras and $sigma$-finite measure spaces.
  arXiv  Detail & Related papers  (2024-09-26T11:13:47Z)
• Multipartite Embezzlement of Entanglement [44.99833362998488]
  Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via local operations and without communication. We show that finite-dimensional approximations of multipartite embezzling states form multipartite embezzling families. We discuss our results in the context of quantum field theory and quantum many-body physics.
  arXiv  Detail & Related papers  (2024-09-11T22:14:22Z)
• Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles [44.99833362998488]
  We discuss conserving and the violation of the entanglementMP inequality in a system of two vector bosons produced in the decay of a spin-0 particle. As an exemplary process of this kind we use the decay $Hto ZZ$ with anomalous coupling.
  arXiv  Detail & Related papers  (2024-05-26T11:21:06Z)
• Quantum Chaos on Edge [36.136619420474766]
  We identify two different classes: the near edge physics of sparse'' and the near edge of dense'' chaotic systems. The distinction lies in the ratio between the number of a system's random parameters and its Hilbert space dimension. While the two families share identical spectral correlations at energy scales comparable to the level spacing, the density of states and its fluctuations near the edge are different.
  arXiv  Detail & Related papers  (2024-03-20T11:31:51Z)
• Tighter Constraints of Multi-Qubit Entanglement in Terms of Nonconvex Entanglement Measures LCREN and LCRENoA [1.2070981561059435]
  The monogamy property of characterizing multipart quantum entanglement is an intriguing feature. Measures satisfying the monogamy inequality are turned out to violate our constraints.
  arXiv  Detail & Related papers  (2024-02-01T09:55:14Z)
• Positive Semidefinite Supermartingales and Randomized Matrix Concentration Inequalities [35.61651875507142]
  We present new concentration inequalities for either martingale dependent or exchangeable random symmetric matrices under a variety of tail conditions. These inequalities are often randomized in a way that renders them strictly tighter than existing deterministic results in the literature.
  arXiv  Detail & Related papers  (2024-01-28T04:22:43Z)
• Toy model for the correlation of qudit bipartite states with maximally mixed marginals [0.0]
  We consider the local unitary classification of the class of qudit bipartite mixed states for which no information can be obtained locally. We consider a broader set of states by introducing a family of qudit bipartite mixed states with maximally mixed marginals. We relate this classification to known entanglement measures such as purity and negativity.
  arXiv  Detail & Related papers  (2023-04-23T12:41:22Z)
• Unextendibility, uncompletability, and many-copy indistinguishable ensembles [77.34726150561087]
  We study unextendibility, uncompletability and analyze their connections to many-copy indistinguishable ensembles. We report a class of multipartite many-copy indistinguishable ensembles for which local indistinguishability property increases with decreasing mixedness.
  arXiv  Detail & Related papers  (2023-03-30T16:16:41Z)
• Entanglement resolution of free Dirac fermions on a torus [68.8204255655161]
  We first evaluate the SRE for massless Dirac fermions in a system at finite temperature and size. The charge-dependent entropies turn out to be equally distributed among all the symmetry sectors at leading order.
  arXiv  Detail & Related papers  (2022-12-14T14:54:35Z)
• Violating the bilocal inequality with separable mixed states in the entanglement-swapping network [14.767303057460307]
  We show that two entangle pure states can violate the bilocal inequality in the entanglement-swapping network, vice versa. In the work, we devote to finding the mixed Werner states which violate the bilocal inequality by Particle Swarm Optimization (PSO) algorithms.
  arXiv  Detail & Related papers  (2022-01-24T06:34:13Z)
• Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems [7.0833780140057945]
  We consider a multiphoton Bell-type inequality to study nonlocality in four-mode continuous variable systems. We apply the inequality to a wide variety of states such as pure and mixed Gaussian states and non-Gaussian states.
  arXiv  Detail & Related papers  (2020-08-19T13:25:09Z)
• Characterizing multipartite entanglement by violation of CHSH inequalities [15.437374103470939]
  Entanglement of high-dimensional and multipartite quantum systems offer promising perspectives in quantum information processing. We consider the overlaps between the maximal quantum mean values and the classical bound of the CHSH inequalities for pairwise-qubit states in two-dimensional subspaces. We show that the concurrence of a pure state in any high-dimensional multipartite system can be equivalently represented by these overlaps.
  arXiv  Detail & Related papers  (2020-03-19T16:07:07Z)

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.