Extending and characterizing quantum magic games
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2012.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2013
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| Online Access: | http://hdl.handle.net/1721.1/78462 |
| _version_ | 1826192214243409920 |
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| author | Arkhipov, Alex (Aleksandr) |
| author2 | Scott Aaronson. |
| author_facet | Scott Aaronson. Arkhipov, Alex (Aleksandr) |
| author_sort | Arkhipov, Alex (Aleksandr) |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2012. |
| first_indexed | 2024-09-23T09:08:06Z |
| format | Thesis |
| id | mit-1721.1/78462 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T09:08:06Z |
| publishDate | 2013 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/784622019-04-10T20:56:54Z Extending and characterizing quantum magic games Arkhipov, Alex (Aleksandr) Scott Aaronson. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science. Electrical Engineering and Computer Science. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2012. Cataloged from PDF version of thesis. Includes bibliographical references (p. 19-20). The Mermin-Peres magic square game is a cooperative two-player nonlocal game in which shared quantum entanglement allows the players to win with certainty, while players limited to classical operations cannot do so, a phenomenon dubbed "quantum pseudo-telepathy". The game has a referee separately ask each player to color a subset of a 3x3 grid. The referee checks that their colorings satisfy certain parity constraints that can't all be simultaneously realized. We define a generalization of these games to be played on an arbitrary arrangement of intersecting sets of elements. We characterize exactly which of these games exhibit quantum pseudo-telepathy, and give quantum winning strategies for those that do. In doing so, we show that it suffices for the players to share three Bell pairs of entanglement even for games on arbitrarily larger arrangements. Moreover, it suffices for Alice and Bob to use measurements from the three-qubit Pauli group. The proof technique uses a novel connection of Mermin-style games to graph planarity. by Alex Arkhipov. S.M. 2013-04-12T19:26:23Z 2013-04-12T19:26:23Z 2012 2012 Thesis http://hdl.handle.net/1721.1/78462 834084030 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 20 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Electrical Engineering and Computer Science. Arkhipov, Alex (Aleksandr) Extending and characterizing quantum magic games |
| title | Extending and characterizing quantum magic games |
| title_full | Extending and characterizing quantum magic games |
| title_fullStr | Extending and characterizing quantum magic games |
| title_full_unstemmed | Extending and characterizing quantum magic games |
| title_short | Extending and characterizing quantum magic games |
| title_sort | extending and characterizing quantum magic games |
| topic | Electrical Engineering and Computer Science. |
| url | http://hdl.handle.net/1721.1/78462 |
| work_keys_str_mv | AT arkhipovalexaleksandr extendingandcharacterizingquantummagicgames |