Device-independent bounds from Cabello's nonlocality argument

RAI, A., Matej PIVOLUSKA, Martin PLESCH, S. SASMAL, M. BANIK and S. GHOSH. Device-independent bounds from Cabello's nonlocality argument. Physical review A. New York: The American Physical Society, 2021, vol. 103, No 6, p. 1-7. ISSN 2469-9926. Available from: https://dx.doi.org/10.1103/PhysRevA.103.062219.

Basic information

• Original name: Device-independent bounds from Cabello's nonlocality argument
• Authors: RAI, A., Matej PIVOLUSKA (703 Slovakia, belonging to the institution), Martin PLESCH (703 Slovakia, belonging to the institution), S. SASMAL, M. BANIK and S. GHOSH.
• Edition: Physical review A, New York, The American Physical Society, 2021, 2469-9926.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10201 Computer sciences, information science, bioinformatics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 2.971
• RIV identification code: RIV/00216224:14610/21:00121949
• Organization unit: Institute of Computer Science
• Doi: http://dx.doi.org/10.1103/PhysRevA.103.062219
• UT WoS: 000665117900001
• Keywords (in Czech): non-locality; entanglement
• Keywords in English: non-locality; entanglement
• Tags: J-D1, J-Q1, rivok
• Tags: International impact, Reviewed

Abstract

Hardy-type arguments manifest Bell nonlocality in one of the simplest possible ways. Except for demonstrating nonclassical signature of entangled states in question, they can also serve for device-independent self-testing of states, as shown, e.g., in Phys. Rev. Lett. 109, 180401 (2012). Here we develop and broaden these results to an extended version of Hardy's argument, often referred to as Cabello's nonlocality argument. We show that, as in the simpler case of Hardy's nonlocality argument, the maximum quantum value for Cabello's nonlocality is achieved by a pure two-qubit state and projective measurements that are unique up to local isometries. We also examine the properties of a more realistic case when small errors in the ideal constraints are accepted within the probabilities obtained and prove that also in this case the two-qubit state and measurements are sufficient for obtaining the maximum quantum violation of the classical bound.

Links

• MUNI/G/1596/2019, interní kód MU: Name: Development of algorithms for application of quantum computers in electronic-structure calculations in solid-state physics and chemistry (Acronym: Qubits4PhysChem)

Investor: Masaryk University, INTERDISCIPLINARY - Interdisciplinary research projects