Logical Pre- and Post-Selection Paradoxes, Measurement-Disturbance and Contextuality
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Many seemingly paradoxical effects are known in the predictions for outcomes of measurements made on pre- and post-selected quantum systems. A class of such effects, which we call ‘`logical pre- and post-selection paradoxes,’' bear a striking resemblance to proofs of the Bell-Kochen-Specker theorem, which suggests that they demonstrate the contextuality of quantum mechanics. Despite the apparent similarity, we show that such effects can occur in noncontextual hidden variable theories, provided measurements are allowed to disturb the values of the hidden variables.
Key Wordspre-selection post-selection contextuality hidden variables ABL rule
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- Aharonov, Y. and Vaidman, L. (2002). The two-state vector formalism of quantum mechanics. In: Muga, J. G., Sala Mayato, R., and Egusquiza, I. L. (eds), Time in Quantum Mechanics, pp. 369–412, Springer. quant-ph/0105101.Google Scholar
- Kochen, S. and Specker, E. P. (1967). The problem of hidden variables in quantum mechanics. Journal of Mathematical Mechanics 17, 59.Google Scholar
- Leifer, M. S. and Spekkens, R. W. (2005). Pre- and post-selection paradoxes and contextuality in quantum mechanics. Physical Review Letters 95, 200405, quant-ph/0412178.Google Scholar
- Marchildon, L. (2003). The counterfactual meaning of the ABL rule. quant-ph/0307082.Google Scholar
- Spekkens, R. W. (2004a). Contextuality for preparations, transformations, and unsharp measurements. quant-ph/0406166.Google Scholar
- Spekkens, R. W. (2004b). In defense of the epistemic view of quantum states: A toy theory. quant-ph/0401052.Google Scholar