Popescu-Rohrlich box implementation in general probabilistic theory of processes

2017/08/31 by Martin Plávala, Mário Ziman · 9 citations
Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Bell's theorem #Computer science #Interpretation (philosophy) #Mathematics #Physics #Probabilistic logic #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum nonlocality #Realization (probability) #Statistical physics #Statistics #Theoretical computer science #quant-ph

paper · pdf · doi:10.1016/j.physleta.2020.126323

published in Physics Letters A 384(16), 126323 (Elsevier BV)

openalex created_date 2017/08/31 · openalex publication_date 2020/02/13 · arxiv created 2020/02/17 · arxiv updated 2020/10/27 · openalex updated_date 2026/08/06

Abstract

It is shown that Popescu-Rohrlich nonlocal boxes (beating the Tsirelson bound for Bell inequality) do exist in the existing structures of both quantum and classical theory. In particular, we design an explicit example of measure-and-prepare nonlocal (but no-signaling) channel being the realization of nonlocal and no-signaling Popescu-Rohrlich box within the generalized probabilistic theory of processes. Further we present a post-selection-based spatially non-local implementation and show it does not require truly quantum resources, hence, improving the previously known results. Interpretation and potential (spatially non-local) simulation of this form of process nonlocality and the protocol is discussed.

Citations

• Nonlocality and quantum mechanics
• Process positive-operator-valued measure: A mathematical framework for the description of process tomography experiments
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Quantum nonlocality as an axiom
• All-multipartite Bell-correlation inequalities for two dichotomic observables per site
• Hidden Variables, Joint Probability, and the Bell Inequalities
• Limit on Nonlocality in Any World in Which Communication Complexity Is Not Trivial
• Quantum correlations with no causal order
• Probabilistic theories with purification
• Completely positive linear maps on complex matrices
• Causal and localizable quantum operations
• On the Einstein Podolsky Rosen paradox
• Quantum and superquantum enhancements to two-sender, two-receiver channels
• Necessary condition for incompatibility of observables in general probabilistic theories
• Bell nonlocality