dorsal/arxiv
View Schema"Haunted" quantum contextuality
| Authors | Karl Svozil |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9907015 |
| URL | https://arxiv.org/abs/quant-ph/9907015 |
Abstract
Two entangled particles in threedimensional Hilbert space (per particle) are considered in an EPR-type arrangement. On each side the Kochen-Specker observables $\{J_1^2,J_2^2,J_3^2\}$ and $\{\bar J_1^2, \bar J_2^2,J_3^2\}$ with $[J_1^2,\bar J_1^2]\neq 0$ are measured. The outcomes of measurements of $J_3^2$ (via $J_1^2,J_2^2$) and $J_3^2$ (via $\bar J_1^2,\bar J_2^2$) are compared. Although formally $J_3^2$ is associated with the same projection operator, a strong form of quantum contextuality states that an outcome depends on the complete disposition of the measurement apparatus, in particular whether $J_1^2$ or $\bar J_1^2$ is measured alongside. It is argued that in this case it is impossible to measure contextuality directly, a necessary condition being a non-operational counterfactuality of the argument.
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"abstract": "Two entangled particles in threedimensional Hilbert space (per particle) are\nconsidered in an EPR-type arrangement. On each side the Kochen-Specker\nobservables $\\{J_1^2,J_2^2,J_3^2\\}$ and $\\{\\bar J_1^2, \\bar J_2^2,J_3^2\\}$ with\n$[J_1^2,\\bar J_1^2]\\neq 0$ are measured. The outcomes of measurements of\n$J_3^2$ (via $J_1^2,J_2^2$) and $J_3^2$ (via $\\bar J_1^2,\\bar J_2^2$) are\ncompared. Although formally $J_3^2$ is associated with the same projection\noperator, a strong form of quantum contextuality states that an outcome depends\non the complete disposition of the measurement apparatus, in particular whether\n$J_1^2$ or $\\bar J_1^2$ is measured alongside. It is argued that in this case\nit is impossible to measure contextuality directly, a necessary condition being\na non-operational counterfactuality of the argument.",
"arxiv_id": "quant-ph/9907015",
"authors": [
"Karl Svozil"
],
"categories": [
"quant-ph"
],
"title": "\"Haunted\" quantum contextuality",
"url": "https://arxiv.org/abs/quant-ph/9907015"
},
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