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arXiv:quant-ph/0603053 · Physics Letters A

Classical simulation of two spin-s singlet state correlations involving spin measurements

Ali Ahanj, Pramod S. Joag, Sibasish Ghosh A

Published Apr 2, 2007• 1 citation
arXivHTMLPDF
DOI
10.1016/j.physleta.2007.03.072

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Simulation of two spin-sss singlet correlations for all sss involving spin measurements
In a recent paper [A. Ahanj et al., quant-ph/0603053], we gave a classical protocol to simulate quantum correlations corresponding to the spin sss singlet state for the infinite sequence of spins satisfying 2s+1=2n2s+1 = 2^{n}2s+1=2n. In the present paper, we have generalized this result by giving a classical protocol to exactly simulate quantum correlations implied by the spin-sss singlet state corresponding to all integer as well as half-integer spin values sss. The class of measurements we consider here are only those corresponding to spin observables, as has been done in the above-mentioned paper. The required amount of communication is found to be ⌈log2(s+1)⌉\lceil {\rm log}_{2} (s + 1) \rceil⌈log2​(s+1)⌉ in the worst case scenario, where ⌈x⌉\lceil x \rceil⌈x⌉ is the least integer greater than or equal to xxx.
Analysis of Quantum Correlation in Successive Spin Measurements, Classical Communication of Spin SSS Singlet States and Quantum Nonlocality of two Qubit Entangled States
In this thesis, we study about three subjects 1- Classical simulation of two spin-sss singlet correlations for all sss involving spin measurements, 2- Quantum correlations in successive single spin measurements, 3- Non locality without inequality for almost all two-qubit entangled states based on Cabello's non locality argument.
In a recent paper [A. Ahanj et al., Phys. Lett. A368 (2007) 34], we gave a classical protocol to simulate quantum correlations corresponding to the spin-s singlet state for the infinite sequence of spins satisfying 2s + 1 = 2n. In the present paper, we have generalized this result by giving a classical protocols to exactly simulate quantum correlations implied by the spin-s singlet state corresponding to all integer as well as half-integer spin values s. The class of measurements we consider here are only those corresponding to spin observables, as has been done in the above-mentioned paper. The required amount of communication is found to be ⌈ log 2(s + 1)⌉ in the worst case scenario, where ⌈x⌉ is the least integer greater than or equal to x.