Quantum discord and noncontextual hidden variables models

Abstract

It is shown that theoretically viable noncontextual hidden variables models in $d=2$ lead to conflicting dispersion free expressions in the analysis of the conditional measurement of two non-orthogonal projectors. No satisfactory criterion of the quantum discord, which relies on the analysis of conditional measurement, is formulated in the $d=2$ hidden variables space due to a lack of uniqueness of the dispersion free representation. We also make a speculative comment on a "many-worlds interpretation" of hidden variables models to account for the conditional measurement.

5 pages (to appear in PRA)

References in corpus (1)

• Necessary and sufficient condition for non-zero quantum discord

Cited by in corpus (4)

• Linearity of quantum probability measure and Hardy's model
• Conditional measurement in noncontextual hidden variables models
• Hardy's Paradox and Measurement-disturbance Relations
• Quantum Discord, CHSH Inequality and Hidden Variables -- Critical reassessment of hidden-variables models