Unmasking the Polygamous Nature of Quantum Nonlocality

• URL: http://arxiv.org/abs/2312.04373v3
• Date: Wed, 30 Oct 2024 18:00:53 GMT
• Title: Unmasking the Polygamous Nature of Quantum Nonlocality
• Authors: Paweł Cieśliński, Lukas Knips, Mateusz Kowalczyk, Wiesław Laskowski, Tomasz Paterek, Tamás Vértesi, Harald Weinfurter,
• Abstract summary: Quantum mechanics imposes limits on the statistics of certain observables. In the simplest case of three observers, it has been shown that if two observers violate a Bell inequality then none of them can violate any Bell inequality with the third observer. Here we show that the Bell monogamy does not hold universally and that in fact the only monogamous situation exists for only three observers.
• Score: 0.4523163728236145
• License:
• Abstract: Quantum mechanics imposes limits on the statistics of certain observables. Perhaps the most famous example is the uncertainty principle. Similar trade-offs also exist for the simultaneous violation of multiple Bell inequalities. In the simplest case of three observers, it has been shown that if two observers violate a Bell inequality then none of them can violate any Bell inequality with the third observer, a property called monogamy of Bell violations. Forms of Bell monogamy have been linked to the no-signalling principle and the inability of simultaneous violations of all inequalities is regarded as their fundamental property. Here we show that the Bell monogamy does not hold universally and that in fact the only monogamous situation exists for only three observers. Consequently, the nature of quantum nonlocality is truly polygamous. We present a systematic methodology for identifying quantum states, measurements and tight Bell inequalities that do not obey the monogamy principle for any number of more than three observers. The identified polygamous inequalities enable any subset of $(N-1)$ observers to reveal nonlocality, which is also shown experimentally by measuring Bell-type correlations of six-photon Dicke states. Our findings may be exploited for multiparty quantum key distribution as well as simultaneous self-testing of multiple nodes in quantum networks.

Related papers

• Time series and the meaning of quantum non-locality [55.2480439325792]
  The derivation of Bell's inequalities gives precise meaning to the idea of quantum non-locality. It also makes evident why using it for faster than light signaling is impossible. It is demonstrated that series of outcomes, even if they violate Bell's inequalities, can be always embedded in a set of factual and counter-factual data.
  arXiv  Detail & Related papers  (2024-10-21T14:49:47Z)
• Quantifying non-Hermiticity using single- and many-particle quantum properties [14.37149160708975]
  The non-Hermitian paradigm of quantum systems displays salient features drastically different from Hermitian counterparts. We propose a formalism that quantifies the (dis-)similarity of these right and left ensembles, for single- as well as many-particle quantum properties. Our findings can be instrumental in unveiling new exotic quantum phases of non-Hermitian quantum many-body systems.
  arXiv  Detail & Related papers  (2024-06-19T13:04:47Z)
• Verification of Bell Nonlocality by Violating Quantum Monogamy Relations [2.062195473318468]
  Existing quantum monogamy relations rule out the possibility of simultaneous violations of any Bell inequalities. We demonstrate that violating these monogamy relations can dynamically witness simultaneous Bell nonlocalities of partial systems. We conduct a tripartite experiment to verify quantum nonlocalities by violating a tripartite monogamy relation using a maximally entangled two-photon state.
  arXiv  Detail & Related papers  (2024-03-14T08:26:32Z)
• An elegant proof of self-testing for multipartite Bell inequalities [0.0]
  This work presents a simple and broadly applicable self-testing argument for N-partite correlation Bell inequalities with two binary outcome observables per party. To showcase the versatility of our proof technique, we obtain self-testing statements for N party Mermin-Ardehali-Bei-Klyshko (MABK) and Werner-Wolf-Weinfurter-.Zukowski-Brukner (WWW.ZB) family of linear Bell inequalities.
  arXiv  Detail & Related papers  (2022-02-14T18:00:50Z)
• Graph-Theoretic Framework for Self-Testing in Bell Scenarios [37.067444579637076]
  Quantum self-testing is the task of certifying quantum states and measurements using the output statistics solely. We present a new approach for quantum self-testing in Bell non-locality scenarios.
  arXiv  Detail & Related papers  (2021-04-27T08:15:01Z)
• Observers of quantum systems cannot agree to disagree [55.41644538483948]
  We ask whether agreement between observers can serve as a physical principle that must hold for any theory of the world. We construct examples of (postquantum) no-signaling boxes where observers can agree to disagree.
  arXiv  Detail & Related papers  (2021-02-17T19:00:04Z)
• Are temporal quantum correlations generally non-monogamous? [0.0]
  We show that a particular entangled history, which can be associated with a quantum propagator, is monogamous to conserve its consistency throughout time. Yet evolving systems violate monogamous Bell-like multi-time inequalities.
  arXiv  Detail & Related papers  (2020-11-15T21:07:56Z)
• Non-locality can be Shared between Alice and three Bobs in unbiased settings case [0.0]
  A well-known property of quantum nonlocality is monogamy. We show that it is possible to observe a triple violation of CHSH inequality between Alice and three Bobs.
  arXiv  Detail & Related papers  (2020-06-30T01:33:20Z)
• Bell Non-Locality in Many Body Quantum Systems with Exponential Decay of Correlations [0.0]
  This paper uses Bell-inequalities as a tool to explore non-classical physical behaviours. We show that a large family of quantum many-body systems behave almost locally, violating Bell-inequalities (if so) only by a non-significant amount.
  arXiv  Detail & Related papers  (2020-06-09T22:41:44Z)
• Non-Boolean Hidden Variables model reproduces Quantum Mechanics' predictions for Bell's experiment [91.3755431537592]
  Theory aimed to violate Bell's inequalities must start by giving up Boolean logic. "Hard" problem is to predict the time values when single particles are detected. "Soft" problem is to explain the violation of Bell's inequalities within (non-Boolean) Local Realism.
  arXiv  Detail & Related papers  (2020-05-20T21:46:35Z)
• Constructing Multipartite Bell inequalities from stabilizers [21.98685929768227]
  We propose a systematical framework to construct Bell inequalities from stabilizers maximally violated by general stabilizer states. We show that the constructed Bell inequalities can self-test any stabilizer state which is essentially device-independent. Our framework can not only inspire more fruitful multipartite Bell inequalities from conventional verification methods, but also pave the way for their practical applications.
  arXiv  Detail & Related papers  (2020-02-05T16:07:11Z)

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.