Experimental Realization of Schumacher's Information Geometric Bell Inequality

Quantum mechanics can produce correlations that are stronger than classically allowed. This stronger-than-classical correlation is the "fuel" for quantum computing. In 1991 Schumacher forwarded a beautiful geometric approach, analogous to the well-known result of Bell, to capture non-class...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-06
Main Authors: Rezaei, Tahereh, Aslmarand, Shahabeddin M, Snyder, Robert, Khajavi, Behzad, Alsing, Paul M, Fanto, Michael, Doyeol, Ahn, Miller, Warner A
Format: Article
Language:English
Subjects:
BBO crystals
Bell's inequality
Correlation
Entangled states
Quantum computing
Quantum mechanics
Triangles
Visibility
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Quantum mechanics can produce correlations that are stronger than classically allowed. This stronger-than-classical correlation is the "fuel" for quantum computing. In 1991 Schumacher forwarded a beautiful geometric approach, analogous to the well-known result of Bell, to capture non-classicality of this correlation for a singlet state. He used well-established information distance defined on an ensemble of identically-prepared states. He calculated that for certain detector settings used to measure the entangled state, the resulting geometry violated a triangle inequality -- a violation that is not possible classically. This provided a novel information-based geometric Bell inequality in terms of a "covariance distance." Here we experimentally-reproduce his construction and demonstrate a definitive violation for a Bell state of two photons based on the usual spontaneous parametric down-conversion in a paired BBO crystal. The state we produced had a visibility of \(V_{ad}=0.970\). We discuss generalizations to higher dimensional multipartite quantum states.
ISSN:2331-8422
DOI:10.48550/arxiv.2106.00194