abstract

• The correlation signals generated by pairs of entangled qubits in CHSH scenarios are studied using the multi-resolution analysis (MRA). When a classical version of the MRA is applied, the correlation functions of the partially synthesized signals do not violate the CHSH inequality until the signals have been fully reconstructed. Later, we apply a variant of the MRA, inserting the detail signals in inverse order. Surprisingly, what we obtain is that the partially synthesized signals violate the CHSH inequality after the second insertion, thus revealing a nonlocal component even long before the synthesis is complete. This results in signals that are up to 25 %25 shorter than the original ones but conserving their entangled and nonlocal character. © 2021, The Author(s), under exclusive licence to Springer Science%2bBusiness Media, LLC, part of Springer Nature.

authors

• Murguía Ibarra José Salomé
• Méndez Martínez J.M.

publication date

• 2021-01-01

published in

• Quantum Information Processing  Journal

keywords

• CHSH inequality; Haar wavelets; Multi-resolution analysis; Nonlocal quantum correlations; Quantum CHSH scenarios; Quantum signal compression Quantum entanglement; Qubits; Correlation function; Entangled qubits; Nonlocal; Nonlocal components; Multiresolution analysis

Digital Object Identifier (DOI)

• 10.1007/s11128-021-03147-4

PubMed ID

start page

end page

volume

• 20

issue

• 6