Genuine multipartite entanglement of quantum states in the multiple-copy scenario

• URL: http://arxiv.org/abs/2201.08694v3
• Date: Mon, 6 Jun 2022 12:01:55 GMT
• Title: Genuine multipartite entanglement of quantum states in the multiple-copy scenario
• Authors: Carlos Palazuelos, Julio I. de Vicente
• Abstract summary: Genuine multipartite entanglement (GME) is a powerful form of entanglement. We study this phenomenon in the multiple-copy regime. We prove that for any number of parties and any number $kinmathbbN$ there exist GME-activatable multipartite states.
• Score: 0.609170287691728
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Genuine multipartite entanglement (GME) is considered a powerful form of entanglement since it corresponds to those states that are not biseparable, i.e.\ a mixture of partially separable states across different bipartitions of the parties. In this work we study this phenomenon in the multiple-copy regime, where many perfect copies of a given state can be produced and controlled. In this scenario the above definition leads to subtle intricacies as biseparable states can be GME-activatable, i.e.\ several copies of a biseparable state can display GME. We show that the set of GME-activatable states admits a simple characterization: a state is GME-activatable if and only if it is not partially separable across one bipartition of the parties. This leads to the second question of whether there is a general upper bound in the number of copies that needs to be considered in order to observe the activation of GME, which we answer in the negative. In particular, by providing an explicit construction, we prove that for any number of parties and any number $k\in\mathbb{N}$ there exist GME-activatable multipartite states of fixed (i.e.\ independent of $k$) local dimensions such that $k$ copies of them remain biseparable.

Related papers

• All multiparty quantum systems have state with unconditionally superposition-robust entanglement [0.0]
  We find a feature of multipartite quantum systems which is in sharp contrast with that of bipartite ones. We show how unconditional inseparability of superposition can be useful in exhibiting an indistinguishability property within the local unambiguous state discrimination problem.
  arXiv  Detail & Related papers  (2024-12-10T09:29:39Z)
• 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)
• Multipartite Entanglement versus Multiparticle Entanglement [0.0]
  Entanglement is presence of quantum correlations beyond those achieved by local action and classical communication. A natural extension is a genuine multipartite entanglement (GME), understood as nonexistenence of a decomposition into biseparable states.
  arXiv  Detail & Related papers  (2024-07-18T09:49:09Z)
• 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)
• Almost device-independent certification of GME states with minimal measurements [41.94295877935867]
  Device-independent certification of quantum states allows the characterization of quantum states present inside a device. A major problem in this regard is to certify quantum states using minimal resources. We consider the multipartite quantum steering scenario with an arbitrary number of parties but only one of which is trusted in the sense that the measurements performed by the trusted party are known.
  arXiv  Detail & Related papers  (2024-02-28T17:54:55Z)
• Multi-copy activation of genuine multipartite entanglement in continuous-variable systems [0.0]
  Multi-copy activation of genuine multipartite entanglement (GME) is a phenomenon whereby multiple copies of biseparable but fully inseparable states can exhibit GME. We provide examples of GME-activatable non-Gaussian states.
  arXiv  Detail & Related papers  (2023-12-27T13:35:35Z)
• Multipartite entanglement theory with entanglement-nonincreasing operations [91.3755431537592]
  We extend the resource theory of entanglement for multipartite systems beyond the standard framework of local operations and classical communication. We demonstrate that in this adjusted framework, the transformation rates between multipartite states are fundamentally dictated by the bipartite entanglement entropies of the respective quantum states.
  arXiv  Detail & Related papers  (2023-05-30T12:53:56Z)
• 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)
• Concurrence triangle induced genuine multipartite entanglement measure [0.0]
  We study the quantification of genuine multipartite entanglement (GME) for general multipartite states. A series of triangles, named concurrence triangles, are established corresponding to inequalities. The GME measures classify which parts are separable or entangled with the rest ones for non genuine entangled pure states.
  arXiv  Detail & Related papers  (2022-12-14T07:27:38Z)
• Activation of genuine multipartite entanglement: Beyond the single-copy paradigm of entanglement characterisation [2.446672595462589]
  We show that multiple copies unlock genuine multipartite entanglement from partially separable states. We conjecture a strict hierarchy of activatable states and an collapse of the hierarchy.
  arXiv  Detail & Related papers  (2021-06-02T18:00:00Z)
• Genuine Network Multipartite Entanglement [62.997667081978825]
  We argue that a source capable of distributing bipartite entanglement can, by itself, generate genuine $k$-partite entangled states for any $k$. We provide analytic and numerical witnesses of genuine network entanglement, and we reinterpret many past quantum experiments as demonstrations of this feature.
  arXiv  Detail & Related papers  (2020-02-07T13:26:00Z)

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.