Journal
PHYSICS LETTERS A
Volume 405, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2021.127444
Keywords
Quantum entanglement; Quantum mechanics
Categories
Funding
- Air Force Office of Scientific Research (AFOSR)
- AFOSR/DURIP [FA9550-19-1-0389]
- IITP [2017-0-00266]
- NRF [NRF-2020M3H3A1105796]
- AFOSR [FA2386-21-1-0089]
- internal FAU funds from the Center for Connected Assured Autonomy (C2A2)
- Charles E. Schmidt College of Science
- AFOSF/AOARD [FA2386-17-14070]
- AFRL/RITQ
- National Research Foundation of Korea [2020M3H3A1105796] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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Quantum mechanics can produce correlations stronger than classically allowed, which is crucial for quantum computing. Researchers studied the non-classicality of singlet states using a geometric approach and experimentally verified a novel geometric Bell inequality. The results offer insights for generalizing to higher dimensional multipartite quantum states.
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 a 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. (C) 2021 The Author(s). Published by Elsevier B.V.
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