dorsal/arxiv
View SchemaPre- and Post-selection paradoxes and contextuality in quantum mechanics
| Authors | M. S. Leifer, R. W. Spekkens |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412178 |
| URL | https://arxiv.org/abs/quant-ph/0412178 |
| DOI | 10.1103/PhysRevLett.95.200405 |
| Journal | Phys. Rev. Lett. 95, 200405 (2005) |
Abstract
Many seemingly paradoxical effects are known in the predictions for outcomes of intermediate measurements made on pre- and post-selected quantum systems. Despite appearances, these effects do not demonstrate the impossibility of a noncontextual hidden variable theory, since an explanation in terms of measurement-disturbance is possible. Nonetheless, we show that for every paradoxical effect wherein all the pre- and post- selected probabilities are 0 or 1 and the pre- and post-selected states are nonorthogonal, there is an associated proof of contextuality. This proof is obtained by considering all the measurements involved in the paradoxical effect -- the pre-selection, the post-selection, and the alternative possible intermediate measurements -- as alternative possible measurements at a single time.
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"abstract": "Many seemingly paradoxical effects are known in the predictions for outcomes\nof intermediate measurements made on pre- and post-selected quantum systems.\nDespite appearances, these effects do not demonstrate the impossibility of a\nnoncontextual hidden variable theory, since an explanation in terms of\nmeasurement-disturbance is possible. Nonetheless, we show that for every\nparadoxical effect wherein all the pre- and post- selected probabilities are 0\nor 1 and the pre- and post-selected states are nonorthogonal, there is an\nassociated proof of contextuality. This proof is obtained by considering all\nthe measurements involved in the paradoxical effect -- the pre-selection, the\npost-selection, and the alternative possible intermediate measurements -- as\nalternative possible measurements at a single time.",
"arxiv_id": "quant-ph/0412178",
"authors": [
"M. S. Leifer",
"R. W. Spekkens"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.95.200405",
"journal_ref": "Phys. Rev. Lett. 95, 200405 (2005)",
"title": "Pre- and Post-selection paradoxes and contextuality in quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0412178"
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