QUANTUM CORRELATIONS IN SUCCESSIVE SPIN MEASUREMENTS

DOI10.1142/S0219749907003298zbMATH Open1200.81023arXivquant-ph/0602005OpenAlexW2953202572MaRDI QIDQ3503064

Sibasish Ghosh, Ali Ahanj, Pramod S. Joag

Publication date: 20 May 2008

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Abstract: In this paper we present a new approach for testing QM against the realism aspect of hidden variable theory (HVT). We consider successive measurements of non-commuting operators on a input spin $s$ state. The key point is that, although these operators are non-commuting, they act on different states so that the joint probabilities for the outputs of successive measurements are well defined. We show that, in this scenario HVT leads to Bell type inequalities for the correlation between the outputs of successive measurements. We account for the maximum violation of these inequalities by quantum correlations by varying spin value and the number of successive measurements. Our approach can be used to obtain a measure of the deviation of QM from realism say in terms of the amount of information needed to be transferred between successive measurements in order to classically simulate the quantum correlations.

Full work available at URL: https://arxiv.org/abs/quant-ph/0602005

zbMATH Keywords

quantum correlationBell-type inequalitiessuccessive measurementsclassical simulationlocality in timerealisms

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15)

Cites Work

• Bell-type inequalities for partial separability in \(N\)-particle systems and quantum mechanical violations
• Extreme quantum entanglement in a superposition of macroscopically distinct states
• Bell's Inequalities and Density Matrices: Revealing “Hidden” Nonlocality
• On the Physical Significance of the Locality Conditions in the Bell Arguments
• Proposed Experiment to Test Local Hidden-Variable Theories
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• On the Problem of Hidden Variables in Quantum Mechanics

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