Bounds on Multipartite Nonlocality via Reduction to Biased Nonlocality

• URL: http://arxiv.org/abs/2410.09900v1
• Date: Sun, 13 Oct 2024 16:20:26 GMT
• Title: Bounds on Multipartite Nonlocality via Reduction to Biased Nonlocality
• Authors: Hafiza Rumlah Amer, Jibran Rashid,
• Abstract summary: We show a reduction between multipartite nonlocal and biased bipartite nonlocal games. Generalizing this reduction to a larger class of games may build a bridge from multipartite to bipartite principles.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Multipartite information principles are needed to understand nonlocal quantum correlations. Towards that end, we provide optimal bounds on genuine multipartite nonlocality for classes of THRESHOLD games using the LOCCG (Local Operations with Grouping) model. Our proof develops a reduction between multipartite nonlocal and biased bipartite nonlocal games. Generalizing this reduction to a larger class of games may build a bridge from multipartite to bipartite principles.

Related papers

• 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)
• Nonlocality under Computational Assumptions [51.020610614131186]
  A set of correlations is said to be nonlocal if it cannot be reproduced by spacelike-separated parties sharing randomness and performing local operations. We show that there exist (efficient) local producing measurements that cannot be reproduced through randomness and quantum-time computation.
  arXiv  Detail & Related papers  (2023-03-03T16:53:30Z)
• Advantages of multi-copy nonlocality distillation and its application to minimizing communication complexity [1.7188280334580197]
  We introduce several distillation schemes which distil an extended part of the set of nonlocal correlations including quantum correlations. Some are sequential algorithms that repeatedly use a two-copy protocol, while others are genuine three-copy protocols. This brings us closer to an understanding of the sets of nonlocal correlations that can be recovered from information-theoretic principles.
  arXiv  Detail & Related papers  (2022-06-06T18:00:06Z)
• Proofs of network quantum nonlocality aided by machine learning [68.8204255655161]
  We show that the family of quantum triangle distributions of [DOI40103/PhysRevLett.123.140] did not admit triangle-local models in a larger range than the original proof. We produce a large collection of network Bell inequalities for the triangle scenario with binary outcomes, which are of independent interest.
  arXiv  Detail & Related papers  (2022-03-30T18:00:00Z)
• Test of Genuine Multipartite Nonlocality [0.0]
  Bell nonlocality of a bipartite system is counter-intuitive, multipartite nonlocality in our many-body world turns out to be even more so. Recent theoretical study reveals that genuine multipartite nonlocal correlations cannot be explained by any causal theory involving fewer-partite nonclassical resources and global shared randomness.
  arXiv  Detail & Related papers  (2022-01-30T08:52:58Z)
• On the relation between completely bounded and $(1,cb)$-summing maps with applications to quantum XOR games [65.51757376525798]
  We show that given a linear map from a general operator space into the dual of a C$*$-algebra, its completely bounded norm is upper bounded by a universal constant times its $(''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
  arXiv  Detail & Related papers  (2021-12-09T21:06:52Z)
• Multipartite Intrinsic Non-Locality and Device-Independent Conference Key Agreement [3.187381965457262]
  We introduce multipartite intrinsic non-locality as a method for quantifying resources in the multipartite scenario of device-independent (DI) conference key agreement. We prove that multipartite intrinsic non-locality is additive, convex, and monotone under a class of free operations called local operations and common randomness.
  arXiv  Detail & Related papers  (2021-11-04T02:42:36Z)
• Quantum communication complexity beyond Bell nonlocality [87.70068711362255]
  Efficient distributed computing offers a scalable strategy for solving resource-demanding tasks. Quantum resources are well-suited to this task, offering clear strategies that can outperform classical counterparts. We prove that a new class of communication complexity tasks can be associated to Bell-like inequalities.
  arXiv  Detail & Related papers  (2021-06-11T18:00:09Z)
• Genuine multipartite nonlocality is intrinsic to quantum networks [0.5156484100374058]
  We derive sufficient conditions for entanglement to give rise to genuine multipartite nonlocality in networks. Our results pave the way towards feasible manners of generating genuine multipartite nonlocality using any connected network.
  arXiv  Detail & Related papers  (2020-04-03T18:00:14Z)
• Unbounded Bell violations for quantum genuine multipartite non-locality [0.5156484100374058]
  Bell inequalities by measurements on quantum states give rise to the phenomenon of quantum non-locality. We show that while in the so-called correlation scenario the relative violation of bilocal Bell inequalities by quantum resources is bounded, it does not grow arbitrarily with the number of inputs. We identify Bell functionals that take the form of non-local games for which the ratio of the quantum and bilocal values grows unboundedly as a function of the number of inputs and outputs.
  arXiv  Detail & Related papers  (2020-02-28T09:28:27Z)
• 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.