No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations

• URL: http://arxiv.org/abs/2105.09381v2
• Date: Thu, 11 Nov 2021 14:20:23 GMT
• Title: No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations
• Authors: Xavier Coiteux-Roy, Elie Wolfe and Marc-Olivier Renou
• Abstract summary: We show that some tripartite quantum correlations are inexplicable by any causal theory involving bipartite nonclassical common causes and unlimited shared randomness. This constitutes a device-independent proof that Nature's nonlocality is fundamentally at least tripartite in every conceivable physical theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that some tripartite quantum correlations are inexplicable by any causal theory involving bipartite nonclassical common causes and unlimited shared randomness. This constitutes a device-independent proof that Nature's nonlocality is fundamentally at least tripartite in every conceivable physical theory - no matter how exotic. To formalize this claim we are compelled to substitute Svetlichny's historical definition of genuine tripartite nonlocality with a novel theory-agnostic definition tied to the framework of Local Operations and Shared Randomness (LOSR). A companion article [PRA. 104, 052207 (2021)] generalizes these concepts to any number of parties, providing experimentally amenable device-independent inequality constraints along with quantum correlations violating them, thereby certifying that Nature's nonlocality must be boundlessly multipartite.

Related papers

• Minimal operational theories: classical theories with quantum features [41.94295877935867]
  We show that almost all minimal theories with conditioning satisfy two quantum no-go theorems. As a relevant example, we construct a minimal toy-theory with conditioning where all systems are classical.
  arXiv  Detail & Related papers  (2024-08-02T16:24:09Z)
• A Measure-Theoretic Axiomatisation of Causality [55.6970314129444]
  We argue in favour of taking Kolmogorov's measure-theoretic axiomatisation of probability as the starting point towards an axiomatisation of causality. Our proposed framework is rigorously grounded in measure theory, but it also sheds light on long-standing limitations of existing frameworks.
  arXiv  Detail & Related papers  (2023-05-19T13:15:48Z)
• Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication [60.18814584837969]
  We introduce the notion of q-compatibility, which unifies different notions of POVMs, channels, and instruments incompatibility. We are able to pinpoint exactly what each notion of incompatibility consists of, in terms of information-theoretic resources.
  arXiv  Detail & Related papers  (2022-11-16T21:33:31Z)
• Physical interpretation of nonlocal quantum correlation through local description of subsystems [19.542805787744133]
  We propose the physical interpretation of nonlocal quantum correlation between two systems. Different nonlocal quantum correlations can be discriminated from a single uncertainty relation derived under local hidden state (LHS)-LHS model only.
  arXiv  Detail & Related papers  (2022-10-01T10:13:40Z)
• Incompatibility of observables, channels and instruments in information theories [68.8204255655161]
  We study the notion of compatibility for tests of an operational probabilistic theory. We show that a theory admits of incompatible tests if and only if some information cannot be extracted without disturbance.
  arXiv  Detail & Related papers  (2022-04-17T08:44:29Z)
• Experimental demonstration of genuine tripartite nonlocality under strict locality conditions [16.812051020169257]
  Nonlocality captures one of the counterintuitive features of nature that defies classical intuition. Recent investigations reveal that our physical world's nonlocality is at least tripartite. We experimentally demonstrate such genuine tripartite nonlocality in a network under strict locality constraints.
  arXiv  Detail & Related papers  (2022-03-02T06:08:19Z)
• Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations [3.7055392730866776]
  Quantum theory predicts the existence of genuinely tripartite-entangled states, which cannot be obtained from local operations. In this work, we verify that such tripartite correlations are experimentally achievable.
  arXiv  Detail & Related papers  (2022-01-30T09:00:16Z)
• Non-standard entanglement structure of local unitary self-dual models as a saturated situation of repeatability in general probabilistic theories [61.12008553173672]
  We show the existence of infinite structures of quantum composite system such that it is self-dual with local unitary symmetry. We also show the existence of a structure of quantum composite system such that non-orthogonal states in the structure are perfectly distinguishable.
  arXiv  Detail & Related papers  (2021-11-29T23:37:58Z)
• Background Independence and Quantum Causal Structure [0.0]
  One of the key ways in which quantum mechanics differs from relativity is that it requires a fixed background reference frame for spacetime. A combination of the two theories is expected to yield non-classical, or "indefinite", causal structures. We present a background-independent formulation of the process matrix formalism.
  arXiv  Detail & Related papers  (2021-06-02T09:13:13Z)
• Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal [0.0]
  We show that noisy N-partite GHZ quantum states as well as the 3-partite W quantum state can produce such correlations. This proves, if the operational predictions of quantum theory are correct, that Nature's nonlocality must be boundlessly multipartite in any causal GPT.
  arXiv  Detail & Related papers  (2021-05-19T20:05:55Z)
• An Effective Way of Characterizing the Quantum Nonlocality [0.5156484100374059]
  Nonlocality is a distinctive feature of quantum theory, which has been extensively studied for decades. It is found that the uncertainty principle determines the nonlocality of quantum mechanics.
  arXiv  Detail & Related papers  (2020-08-14T14:27:59Z)

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.