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A140415
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Decimal expansion of constant arising in quantum concatenated code Hamiltonians.
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0
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0, 0, 2, 0, 9, 0, 0, 6, 4, 9, 5, 3, 6, 3, 7, 7, 8, 2, 7, 1, 0, 4, 3, 4, 8, 6, 2, 0, 4, 2, 4, 4, 1, 6, 9, 6, 8, 9, 0, 7, 2, 1, 2, 6, 3, 1, 0, 7, 3, 9, 6, 5, 7, 9, 3, 0, 3, 8, 7, 8, 8, 5, 3, 0, 4, 4, 9, 1, 3, 8, 5, 0, 2, 2, 8, 6, 9, 0, 0, 7, 7, 4, 5, 7, 3, 2, 3, 6, 5, 0, 7, 4, 2, 9, 4, 2, 7, 7, 0, 1, 8, 9, 1, 1, 1, 9, 8, 5, 8, 2, 0, 2, 0, 7, 0, 5, 5, 1, 1, 8
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| 0.0020900649536377827104. Corrects arithmetic error in equation (33) on p. 10 of Bacon, as confirmed by Bacon.
Abstract: Protecting quantum information from the detrimental effects of decoherence and lack of precise quantum control is a central challenge that must be overcome if a large robust quantum computer is to be constructed. The traditional approach to achieving this is via active quantum error correction using fault-tolerant techniques.
An alternative to this approach is to engineer strongly interacting many-body quantum systems that enact the quantum error correction via the natural dynamics of these systems. Here we present a method for achieving this based on the concept of concatenated quantum error correcting codes.
We define a class of Hamiltonians whose ground states are concatenated quantum codes and whose energy landscape naturally causes quantum error correction. We analyze these Hamiltonians for robustness and suggest methods for implementing these highly unnatural Hamiltonians.
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LINKS
| David Bacon, The Stability of Quantum Concatenated Code Hamiltonians, arXiv:0806.2160
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FORMULA
| (96081^(1/2)-9)/144000.
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CROSSREFS
| Sequence in context: A009099 A193247 A091041 * A105819 A153616 A190258
Adjacent sequences: A140412 A140413 A140414 * A140416 A140417 A140418
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KEYWORD
| cons,easy,nonn
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AUTHOR
| Jonathan Vos Post (jvospost3(AT)gmail.com), Jun 17 2008
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EXTENSIONS
| Offset corrected. More digits added R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 26 2009
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