Tight upper bound of genuine four party Svetlichny type nonlocality with and without local filtering

• URL: http://arxiv.org/abs/2310.12311v1
• Date: Wed, 18 Oct 2023 20:23:21 GMT
• Title: Tight upper bound of genuine four party Svetlichny type nonlocality with and without local filtering
• Authors: Sk Sahadat Hossain, Biswajit Paul, Indrani Chattopadhyay and Debasis Sarkar
• Abstract summary: identifying the nonlocality of a multiparty quantum state is an important task in quantum mechanics. Here we have developed a tight upper bound for genuine four party Svetlichny type nonlocality. The relations between the genuine multipartite entanglement and the maximal quantum value of the Seevinck and Svetlichny operators for pure four qubit states are also discussed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Identifying the nonlocality of a multiparty quantum state is an important task in quantum mechanics. Seevinck and Svetlichny [Phys. Rev. Lett. 89, 060401 (2002)], and independently, Collins and co-workers [Phys. Rev. Lett. 88, 170405 (2002)] have generalized the tripartite notion of Svetlichny nonlocality to n-parties. Here we have developed a tight upper bound for genuine four party Svetlichny type nonlocality. The constraints on the quantum states for the tightness of the bound are also presented. The method enables us to provide necessary and sufficient conditions for violating the four qubit Svetlichny type inequality for several quantum states. The relations between the genuine multipartite entanglement and the maximal quantum value of the Seevinck and Svetlichny operators for pure four qubit states are also discussed. Consequently, we have exhibited genuine four qubit hidden nonlocality under local filtering. Our result provides an effective and operational method for further study of multipartite quantum nonlocality.

Related papers

• Teleportation of a qubit using exotic entangled coherent states [0.0]
  We study the exotic Landau problem at the classical level where two conserved quantities are derived. We form entangled coherent states which are Bell-like states labeled quasi-Bell states. The effect of non-maximality of a quasi-Bell state based quantum channel is investigated in the context of a teleportation of a qubit.
  arXiv  Detail & Related papers  (2024-04-03T12:03:38Z)
• Observation of quantum nonlocality in Greenberger-Horne-Zeilinger entanglement on a silicon chip [4.895323415185291]
  Greenberger-Horne-Zeilinger (GHZ) state allows one to observe the striking conflict of quantum physics to local realism. integrated photonic chip capable of generating and manipulating the four-photon GHZ state. Our work paves the way to perform fundamental tests of quantum physics with complex integrated quantum devices.
  arXiv  Detail & Related papers  (2023-11-28T12:43:46Z)
• Absolutely maximally entangled state equivalence and the construction of infinite quantum solutions to the problem of 36 officers of Euler [0.0]
  We show that there is truly only em one AME state of four qutrits up to local unitary equivalence. For larger local dimensions, the number of local unitary classes of AME states is shown to be infinite. Based on this, an infinity of quantum solutions are constructed and we prove that these are not equivalent.
  arXiv  Detail & Related papers  (2022-12-13T17:16:17Z)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• 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)
• Efficient Bipartite Entanglement Detection Scheme with a Quantum Adversarial Solver [89.80359585967642]
  Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits. We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
  arXiv  Detail & Related papers  (2022-03-15T09:46:45Z)
• Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance [117.44028458220427]
  We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. A given combination of these quantum resources is shown to form a Lorentz invariant.
  arXiv  Detail & Related papers  (2021-11-26T17:22:59Z)
• Quantum cryptographic resource distillation and entanglement [3.649582705724549]
  We look into multipartite quantum states on which quantum cryptographic protocols including quantum key distribution and quantum secret sharing can be perfectly performed. We define the cryptographic cryptographic resource distillable rate as the rate at which such multipartite state can be distilled from a given multipartite state.
  arXiv  Detail & Related papers  (2021-10-26T13:53:28Z)
• Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality [24.90095858545252]
  Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science. We provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations. We investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.
  arXiv  Detail & Related papers  (2021-01-23T17:41:54Z)
• 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)
• Einselection from incompatible decoherence channels [62.997667081978825]
  We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators. We show that Fock states remain the most robust states to decoherence up to a critical coupling.
  arXiv  Detail & Related papers  (2020-01-29T14:15:19Z)

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.