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Discord and Nonclassicality in Probabilistic Theories

2011/12/21 by Paolo Perinotti
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Data mining #Mathematics #Null (SQL) #Open quantum system #Physics #Probabilistic logic #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum mechanics #Signature (topology) #Statistical physics #Statistics #quant-ph

paper · pdf · doi:10.1103/physrevlett.108.120502

published as Phys. Rev. Lett. 108, 120502 (2012) · 5 pages, revtex style

arxiv created 2011/12/21 · openalex publication_date 2012/03/19 · arxiv updated 2012/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Quantum discord quantifies nonclassical correlations in quantum states. We introduce discord for states in causal probabilistic theories, inspired by the original definition proposed by H. Ollivier and W. H. Zurek [Phys. Rev. Lett. 88, 017901 (2001)]. We show that the only probabilistic theory in which all states have null discord is classical probability theory. Non-null discord is then not just a quantum feature, but a generic signature of nonclassicality.

Citations