Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays
We consider Kochen–Specker theorem for three-qubit system with eight-dimensional state space. Reexamining the proof given by Kernaghan and Peres, we make some clarifications on the orthogonality of rays and rank-two projectors found by them. Basing on their five groups of orthogonal octad, we then s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15399/ http://psasir.upm.edu.my/id/eprint/15399/1/Kochen.pdf |
| _version_ | 1848842666756800512 |
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| author | Toh, Sing Poh Zainuddin, Hishamuddin |
| author_facet | Toh, Sing Poh Zainuddin, Hishamuddin |
| author_sort | Toh, Sing Poh |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | We consider Kochen–Specker theorem for three-qubit system with eight-dimensional state space. Reexamining the proof given by Kernaghan and Peres, we make some clarifications on the orthogonality of rays and rank-two projectors found by them. Basing on their five groups of orthogonal octad, we then show a proof that requires only seventeen rays. |
| first_indexed | 2025-11-15T08:02:46Z |
| format | Article |
| id | upm-15399 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:02:46Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-153992016-01-12T07:25:30Z http://psasir.upm.edu.my/id/eprint/15399/ Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays Toh, Sing Poh Zainuddin, Hishamuddin We consider Kochen–Specker theorem for three-qubit system with eight-dimensional state space. Reexamining the proof given by Kernaghan and Peres, we make some clarifications on the orthogonality of rays and rank-two projectors found by them. Basing on their five groups of orthogonal octad, we then show a proof that requires only seventeen rays. Elsevier 2010-11-01 Article NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15399/1/Kochen.pdf Toh, Sing Poh and Zainuddin, Hishamuddin (2010) Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays. Physics Letters A, 374 (48). pp. 4834-4837. ISSN 0375-9601 10.1016/j.physleta.2010.10.022 |
| spellingShingle | Toh, Sing Poh Zainuddin, Hishamuddin Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays |
| title | Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays |
| title_full | Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays |
| title_fullStr | Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays |
| title_full_unstemmed | Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays |
| title_short | Kochen-Specker theorem for a three-qubit system: a state-dependent proof with seventeen rays |
| title_sort | kochen-specker theorem for a three-qubit system: a state-dependent proof with seventeen rays |
| url | http://psasir.upm.edu.my/id/eprint/15399/ http://psasir.upm.edu.my/id/eprint/15399/ http://psasir.upm.edu.my/id/eprint/15399/1/Kochen.pdf |