An analysis of the validity of local causality at the statistical level in Einstein-Podolsky-Rosen-Type situations |
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Authors: | D Home M D Srinivas |
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Institution: | (1) Department of Physics, Bose Institute, 700 009 Calcutta, India;(2) Department of Theoretical Physics, University of Madras, 600 025 Madras, India |
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Abstract: | We investigate the question of local causality at the statistical level in Einstein-Podolsky-Rosen (EPR) type situations,
taking into account the most general class of measurements envisaged in quantum theory. The condition for local causality
at the statistical level used in this paper pertains to the invariance of statistics of measurements on one sub-system with
respect to the choice and type of measurements on its correlated partner in the EPR-type examples. Our analysis is based on
a criterion for measurements performed on one of the EPR sub-systems, which is more general than the criterion used in the
earlier treatments. We discuss both non-absorptive measurements (where the system is available for further observation after
the measurement is performed) as well as absorptive measurements (where the system is absorbed in the process of a particular
outcome being realized). We show that in the case of arbitrary non-absorptive measurements characterized by operationvalued
measures, the requirement of local causality at the statistical level is satisfied and in the process we identify the key
inputs in such a proof. We also obtain the specific conditions under which an absorptive measurement satisfies local causality
at the statistical level. |
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Keywords: | Local causality at statistical level Einstein-Podolsky-Rosen argument absorptive measurements |
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