Unconditional robustness of multipartite entanglement of superposition

• URL: http://arxiv.org/abs/2504.11957v1
• Date: Wed, 16 Apr 2025 10:40:31 GMT
• Title: Unconditional robustness of multipartite entanglement of superposition
• Authors: Hui-Hui Qin, Shao-Shuai Zhao, Shao-Ming Fei,
• Abstract summary: We study the robustness of genuine multipartite entanglement and inseparability of multipartite pure states under superposition with product pure states.<n>We introduce the concept of the maximal and the minimal Schmidt ranks for multipartite states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We study the robustness of genuine multipartite entanglement and inseparability of multipartite pure states under superposition with product pure states. We introduce the concept of the maximal and the minimal Schmidt ranks for multipartite states. From the minimal Schmidt rank of the first order we present criterion of verifying unconditional robustness of genuine multipartite entanglement of multipartite pure states under superposition with product pure states. By the maximal Schmidt rank of the first order we verify the unconditional robustness of multipartite inseparability under superposition with product pure states. The number of product states superposed to a given entangled state which result in a separable state is investigated in detail. Furthermore, the minimal Schmidt ranks of the second order are also introduced to identify the unconditional robustness of an entangled state for tripartite inseparability.

Related papers

• Multipartite entanglement based on realignment moments [1.3605831185375463]
  Based on the realignment moments of density matrix, we study parameterized entanglement criteria for bipartite and multipartite states.<n>Our criterion can detect not only bound entangled states, but also non-positive partial transpose entangled states for bipartite quantum systems.
  arXiv  Detail & Related papers  (2025-04-14T09:02:58Z)
• 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.<n>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)
• Schmidt Decomposition of Multipartite States [0.0]
  Schmidt decomposition of a quantum state has a lot of properties useful in the study of entanglement.<n>We obtain necessary and sufficient conditions for the existence of Schmidt decompositions of multipartite states.<n>We provide an efficient algorithm to obtain the decomposition for a Schmidt decomposable multipartite state.
  arXiv  Detail & Related papers  (2024-11-04T17:01:28Z)
• 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.<n>We show that finite-dimensional approximations of multipartite embezzling states form multipartite embezzling families.<n>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 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 [49.1574468325115]
  We show that the complement of any bipartite pure entangled state is spanned by product states which form a nonorthogonal unextendible product basis (nUPB) of maximum cardinality.<n>We also report a class of multipartite many-copy indistinguishable ensembles for which local indistinguishability property increases with decreasing number of mixed states.
  arXiv  Detail & Related papers  (2023-03-30T16:16:41Z)
• Measurement-based Multipartite Entanglement Inflation [0.0]
  We consider weak entangling measurement on two parties as the basic unit of operation to create entanglement between more parties. In the context of inflating bipartite entanglement to more number of parties, surprisingly, maximally entangled states as inputs turn out to be worse than that of the non-maximally entangled states.
  arXiv  Detail & Related papers  (2021-08-13T11:32:46Z)
• Separability and entanglement in superpositions of quantum states [0.0]
  We study the superpositions of a pure entangled state and a pure product state, when the amplitudes corresponding to the states appearing in any superposition are nonzero. All such superpositions produce only entangled states if the initial entangled state has Schmidt rank three or higher. We find that conditional inseparability of superpositions help in identifying strategies for conclusive local discrimination of shared quantum ensembles.
  arXiv  Detail & Related papers  (2021-08-04T19:48:29Z)
• Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
  We first consider the quantum discrimination of two noiseless displaced number states. We then address the problem of discriminating between two noisy displaced number states.
  arXiv  Detail & Related papers  (2020-12-09T16:56:16Z)
• Heterogeneous Multipartite Entanglement Purification for Size-Constrained Quantum Devices [68.8204255655161]
  Purifying entanglement resources after their imperfect generation is an indispensable step towards using them in quantum architectures. Here we depart from the typical purification paradigm for multipartite states explored in the last twenty years. We find that smaller sacrificial' states, like Bell pairs, can be more useful in the purification of multipartite states than additional copies of these same states.
  arXiv  Detail & Related papers  (2020-11-23T19:00:00Z)
• 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.