Macrorealism from entropic Leggett-Garg inequalities

2012/08/31 by A. R. Usha Devi, H. S. Karthik, Sudha +1 · 9 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.87.052103

published as Phys. Rev. A 87, 052103 (2013) · 5 pages, RevTeX, 2 eps figures, Accepted for publication in Phys. Rev. A

arxiv created 2013/04/26 · openalex publication_date 2013/05/02 · arxiv updated 2013/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We formulate entropic Leggett-Garg inequalities, which place constraints on the statistical outcomes of temporal correlations of observables. The information theoretic inequalities are satisfied if macrorealism holds. We show that the quantum statistics underlying correlations between time-separated spin component of a quantum rotor mimics that of spin correlations in two spatially separated spin-s particles sharing a state of zero total spin. This brings forth the violation of the entropic Leggett-Garg inequality by a rotating quantum spin-s system in a similar manner as does the entropic Bell inequality [S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 61, 662 (1988)] by a pair of spin-s particles forming a composite spin singlet state.

Citations

• Entropic Inequalities and Marginal Problems
• Hidden Variables, Joint Probability, and the Bell Inequalities
• On the Einstein Podolsky Rosen paradox

Cited by

• Inversion of moments to retrieve joint probabilities in quantum sequential measurements
• Probing inequivalent forms of Leggett–Garg inequality in subatomic systems
• Macroscopic quantum states: Measures, fragility, and implementations
• Causal structures from entropic information: geometry and novel scenarios
• The Hardy’s nonlocality argument
• Optimal violation of the Leggett–Garg inequality for arbitrary spin and emergence of classicality through unsharp measurements
• Canonical Leggett-Garg inequality: Nonclassicality of temporal quantum correlations under energy constraint
• Leggett-Garg inequalities and temporal correlations for a qubit under PT-symmetric dynamics
• Protecting temporal correlations of two-qubit states using quantum channels with memory

Related

• Conditions for Quantum Violation of Macrorealism in Large-spin Limit
• Leggett-Garg Inequalities
• Neither weak nor strong entropic Leggett-Garg inequalities can be violated
• One particle self correlations for a separable representation of the singlet spin state beyond standard Quantum Mechanics
• Single-particle Bell-type Inequality