Proposed Experiment to Test Local Hidden-Variable Theories

1971 ◽  
Vol 4 (4) ◽  
pp. 1243-1244 ◽  
Author(s):  
R. Fox ◽  
B. Rosner
Keyword(s):  
Hidden Variable ◽  
Hidden Variable Theories ◽  
Local Hidden Variable

scholarly journals Bounding the Plausibility of Physical Theories in a Device-Independent Setting via Hypothesis Testing

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 185 ◽  
Author(s):  
Yeong-Cherng Liang ◽  
Yanbao Zhang
Keyword(s):  
Hypothesis Testing ◽  
Hypothesis Test ◽  
Quantum Correlations ◽  
Ratio Method ◽  
Empirical Observation ◽  
Hidden Variable ◽  
Apparent Violation ◽  
Hidden Variable Theories ◽  
Experimental Trials ◽  
Local Hidden Variable

The device-independent approach to physics is one where conclusions about physical systems (and hence of Nature) are drawn directly and solely from the observed correlations between measurement outcomes. This operational approach to physics arose as a byproduct of Bell’s seminal work to distinguish, via a Bell test, quantum correlations from the set of correlations allowed by local-hidden-variable theories. In practice, since one can only perform a finite number of experimental trials, deciding whether an empirical observation is compatible with some class of physical theories will have to be carried out via the task of hypothesis testing. In this paper, we show that the prediction-based-ratio method—initially developed for performing a hypothesis test of local-hidden-variable theories—can equally well be applied to test many other classes of physical theories, such as those constrained only by the nonsignaling principle, and those that are constrained to produce any of the outer approximation to the quantum set of correlations due to Navascués-Pironio-Acín. We numerically simulate Bell tests using hypothetical nonlocal sources of correlations to illustrate the applicability of the method in both the independent and identically distributed (i.i.d.) scenario and the non-i.i.d. scenario. As a further application, we demonstrate how this method allows us to unveil an apparent violation of the nonsignaling conditions in certain experimental data collected in a Bell test. This, in turn, highlights the importance of the randomization of measurement settings, as well as a consistency check of the nonsignaling conditions in a Bell test.

NOVEL BELL INEQUALITIES FOR n QUBITS DISTRIBUTED BETWEEN m < n PARTIES

2009 ◽  
Vol 07 (supp01) ◽  
pp. 237-243
Author(s):  
ADÁN CABELLO
Keyword(s):  
Bell Inequalities ◽  
Hidden Variable ◽  
Hidden Variable Theories ◽  
Qubit States ◽  
Local Hidden Variable

We describe a method for obtaining m-partite Bell inequalities that are maximally violated by n-qubit states by an amount that grows exponentially with n (n > m). These inequalities, derived for states with perfect correlations, are, however, valid for all local hidden variable theories.

scholarly journals Experimental Test of Local Hidden-Variable Theories

1972 ◽  
Vol 28 (14) ◽  
pp. 938-941 ◽  
Author(s):  
Stuart J. Freedman ◽  
John F. Clauser
Keyword(s):  
Experimental Test ◽  
Hidden Variable ◽  
Hidden Variable Theories ◽  
Local Hidden Variable

Experimental Test of Local Hidden-Variable Theories

1976 ◽  
Vol 37 (8) ◽  
pp. 465-468 ◽  
Author(s):  
Edward S. Fry ◽  
Randall C. Thompson
Keyword(s):  
Experimental Test ◽  
Hidden Variable ◽  
Hidden Variable Theories ◽  
Local Hidden Variable
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