Simulation of two spin-s singlet correlations for all s involving spin measurements

2007/06/15 by Ali Ahanj, Ahanj, Ali, Pramod S. Joag +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.0706.2287

13 pages Latex, one eps figure

arxiv created 2007/06/15 · openalex publication_date 2007/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a recent paper [A. Ahanj et al., quant-ph/0603053], 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 protocol 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 \lceil \rm log₂ (s + 1) \rceil in the worst case scenario, where \lceil x \rceil is the least integer greater than or equal to x.

Related

• Communication cost of simulating quantum correlations in a class of integer spin singlet states
• Analysis of Quantum Correlation in Successive Spin Measurements, Classical Communication of Spin S Singlet States and Quantum Nonlocality of two Qubit Entangled States
• One particle self correlations for a separable representation of the singlet spin state beyond standard Quantum Mechanics
• Minimum communication cost of simulating quantum correlations is one cbit for all spin singlet states
• Spin correlations in two-particle systems: a pedagogically motivated comparison of computational approaches