Kochen-Specker Theorem for a Single Qubit
The Kochen-Specker theorem (KS) states that Ilonconrextual hidden variable theories are incompatible with quantum mechanics. Since the first proof of the theorem, von Neumann projection measurement has been used and the quantum system considered has dimensionality of at least three. However, r...
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Institute for Mathematical Research
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12461/1/Artikel_3_vol2_no1.pdf http://psasir.upm.edu.my/id/eprint/12461/ |
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my.upm.eprints.124612013-05-27T07:52:24Z http://psasir.upm.edu.my/id/eprint/12461/ Kochen-Specker Theorem for a Single Qubit Toh, Sing Poh Zainuddin, Hishamuddin The Kochen-Specker theorem (KS) states that Ilonconrextual hidden variable theories are incompatible with quantum mechanics. Since the first proof of the theorem, von Neumann projection measurement has been used and the quantum system considered has dimensionality of at least three. However, recently generalized measurements represented by positive-operator-va!ued measures (POVM) have been applied to extend the proof to two dimensional quantum systems. This note gives numerical calculations on the first KS proof for a single qubit. Institute for Mathematical Research 2008-12 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12461/1/Artikel_3_vol2_no1.pdf Toh, Sing Poh and Zainuddin, Hishamuddin (2008) Kochen-Specker Theorem for a Single Qubit. Math Digest : Research Bulletin Institute for Mathematical Research, 2 (1). pp. 11-14. ISSN 1985-2436 English |
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The Kochen-Specker theorem (KS) states that
Ilonconrextual hidden variable theories are
incompatible with quantum mechanics. Since the
first proof of the theorem, von Neumann projection
measurement has been used and the quantum
system considered has dimensionality of at least
three. However, recently generalized measurements
represented by positive-operator-va!ued measures
(POVM) have been applied to extend the proof to
two dimensional quantum systems. This note gives
numerical calculations on the first KS proof for a
single qubit. |
| format |
Article |
| author |
Toh, Sing Poh Zainuddin, Hishamuddin |
| spellingShingle |
Toh, Sing Poh Zainuddin, Hishamuddin Kochen-Specker Theorem for a Single Qubit |
| author_facet |
Toh, Sing Poh Zainuddin, Hishamuddin |
| author_sort |
Toh, Sing Poh |
| title |
Kochen-Specker Theorem for a Single Qubit |
| title_short |
Kochen-Specker Theorem for a Single Qubit |
| title_full |
Kochen-Specker Theorem for a Single Qubit |
| title_fullStr |
Kochen-Specker Theorem for a Single Qubit |
| title_full_unstemmed |
Kochen-Specker Theorem for a Single Qubit |
| title_sort |
kochen-specker theorem for a single qubit |
| publisher |
Institute for Mathematical Research |
| publishDate |
2008 |
| url |
http://psasir.upm.edu.my/id/eprint/12461/1/Artikel_3_vol2_no1.pdf http://psasir.upm.edu.my/id/eprint/12461/ |
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