Collective tests for quantum nonlocality.

Pairs of spin-1/2 particles are prepared in a Werner state (namely, a mixture of singlet and random components). If the random component is large enough, the statistical results of spin measurements that may be performed on each pair separately can be reproduced by an algorithm involving local ``hidden'' variables. However, if several such pairs are tested simultaneously, a violation of the Clauser-Horne-Shimony-Holt inequality may occur, and no local hidden variable model is compatible with the results.

[1]  N. Mermin.  Quantum theory: Concepts and methods , 1997 .

[2]  Deutsch,et al.  Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels. , 1996, Physical review letters.

[3]  N. Gisin.  Hidden quantum nonlocality revealed by local filters , 1996 .

[4]  A. Peres.  Bell Inequalities with Postselection , 1995, quant-ph/9512003.

[5]  Charles H. Bennett,et al.  Concentrating partial entanglement by local operations. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[6]  Charles H. Bennett,et al.  Purification of noisy entanglement and faithful teleportation via noisy channels. , 1995, Physical review letters.

[7]  M. Horodecki,et al.  Violating Bell inequality by mixed spin- {1}/{2} states: necessary and sufficient condition , 1995 .

[8]  D. Deutsch,et al.  Conditional Quantum Dynamics and Logic Gates. , 1995, Physical review letters.

[9]  Popescu,et al.  Bell's Inequalities and Density Matrices: Revealing "Hidden" Nonlocality. , 1995, Physical review letters.

[10]  Reck,et al.  Experimental realization of any discrete unitary operator. , 1994, Physical review letters.

[11]  Popescu,et al.  Bell's inequalities versus teleportation: What is nonlocality? , 1994, Physical review letters.

[12]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[13]  Mann,et al.  Maximal violation of Bell inequalities for mixed states. , 1992, Physical review letters.

[14]  N. Gisin,et al.  Maximal violation of Bell's inequality for arbitrarily large spin , 1992 .

[15]  W. Wootters,et al.  Optimal detection of quantum information. , 1991, Physical review letters.

[16]  William H. Press,et al.  Numerical recipes , 1990 .

[17]  Werner,et al.  Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. , 1989, Physical review. A, General physics.

[18]  Asher Peres,et al.  What is a state vector , 1984 .

[19]  N. Mermin,et al.  Correlation Inequalities and Hidden Variables , 1982 .

[20]  N. Mermin,et al.  Joint distributions and local realism in the higher-spin Einstein-Podolsky-Rosen experiment , 1982 .

[21]  A. Fine.  Hidden Variables, Joint Probability, and the Bell Inequalities , 1982 .

[22]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[23]  J. Bell.  On the Problem of Hidden Variables in Quantum Mechanics , 1966 .

[24]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[25]  V. Capasso,et al.  Sensitive observables of quantum mechanics , 1973 .

[26]  Physics Letters , 1962, Nature.

[27]  and as an in , 2022 .