Conditions for 3-partite and 4-partite genuine entanglement

• URL: http://arxiv.org/abs/2604.00875v1
• Date: Wed, 01 Apr 2026 13:22:27 GMT
• Title: Conditions for 3-partite and 4-partite genuine entanglement
• Abstract summary: It may be the case that only subsets of the particles are entangled, and these subsets are not entangled with each other.<n>It may also be the case that the state is the sum of states in which entanglement only exists within subsets.<n>GHZ states, for example, are genuinely entangled.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A system of three or four particle can be entangled in a number of different ways. It may be the case that only subsets of the particles are entangled, and these subsets are not entangled with each other. It may also be the case that the state is the sum of states in which entanglement only exists within subsets. If this is not the case, the state is said to be genuinely entangled. GHZ states, for example, are genuinely entangled. Deciding whether a state is genuinely entangled is not simple, but conditions do exist to detect it. Here we would like to propose additional sufficient conditions based on one for bipartite entanglement.

Related papers

• Quantum state exclusion with many copies [18.6184930294792]
  We show that for any set of three or more pure states, state exclusion becomes possible with a finite number of copies.<n>We further show that the required number of copies may be arbitrarily large -- in particular, for every natural number $N$, we construct sets of states for which exclusion remains impossible with $N$ or fewer copies.
  arXiv  Detail & Related papers  (2026-01-20T19:15:41Z)
• 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.<n>We derive very simple, handy criteria for detecting entanglement or non-locality in many cases.<n>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)
• 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)
• On the structure of Completely Reducible States [0.0]
  The complete reducibility property for bipartite states was used to prove several theorems inside and outside entanglement theory.<n>So far only three types of bipartite states were proved to possess this property.
  arXiv  Detail & Related papers  (2024-03-08T16:55:57Z)
• Embezzlement of entanglement, quantum fields, and the classification of von Neumann algebras [41.94295877935867]
  We study the quantum information theoretic task of embezzlement of entanglement in the setting of von Neumann algebras.<n>We quantify the performance of a given resource state by the worst-case error.<n>Our findings have implications for relativistic quantum field theory, where type III algebras naturally appear.
  arXiv  Detail & Related papers  (2024-01-14T14:22:54Z)
• Two entanglement conditions and their connection to negativity [0.0]
  We show that two conditions can be used to provide lower bounds on the negativity of states. We show that if one has some knowledge of the Schmidt vectors of a state, better bounds can be found.
  arXiv  Detail & Related papers  (2023-10-31T20:30:15Z)
• Correspondence between entangled states and entangled bases under local transformations [0.0]
  We prove that for bipartite states with a local dimension that is either $2, 4$ or $8$, every state corresponds to a basis. For some states of four qubits we are unable to find a basis, leading us to conjecture that not all quantum states admit a corresponding measurement.
  arXiv  Detail & Related papers  (2023-01-30T20:53:12Z)
• Experimental demonstration of optimal unambiguous two-out-of-four quantum state elimination [52.77024349608834]
  A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements. Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
  arXiv  Detail & Related papers  (2022-06-30T18:00:01Z)
• 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)
• Detection and Classification of Three-qubit States Using $l_{1}$ Norm of Coherence [0.0]
  Recent research shows that quantum coherence may act as a useful resource in quantum information theory. We will employ here quantum coherence to detect and classify the entanglement property of three-qubit states.
  arXiv  Detail & Related papers  (2021-06-16T18:23:38Z)
• Constructions of $k$-uniform states from mixed orthogonal arrays [18.378398718548016]
  We study $k$-uniform states in heterogeneous systems whose local dimensions are mixed. We present two constructions of $2$-uniform states in heterogeneous systems. We show that some $k$-uniform bases can not be distinguished by local operations and classical communications.
  arXiv  Detail & Related papers  (2020-06-07T08:35:22Z)

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.