Toric-boson model: Toward a topological quantum memory at finite temperature
We discuss the existence of stable topological quantum memory at finite temperature. At stake here is the fundamental question of whether it is, in principle, possible to store quantum information for macroscopic times without the intervention from the external world, that is, without error correcti...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51820 |
| _version_ | 1811068734450696192 |
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| author | Hamma, Alioscia Castelnovo, Claudio Chamon, Claudio |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Hamma, Alioscia Castelnovo, Claudio Chamon, Claudio |
| author_sort | Hamma, Alioscia |
| collection | MIT |
| description | We discuss the existence of stable topological quantum memory at finite temperature. At stake here is the fundamental question of whether it is, in principle, possible to store quantum information for macroscopic times without the intervention from the external world, that is, without error correction. We study the toric code in two dimensions with an additional bosonic field that couples to the defects, in the presence of a generic environment at finite temperature: the toric-boson model. Although the coupling constants for the bare model are not finite in the thermodynamic limit, the model has a finite spectrum. We show that in the topological phase, there is a finite temperature below which open strings are confined and therefore the lifetime of the memory can be made arbitrarily (polynomially) long in system size. The interaction with the bosonic field yields a long-range attractive force between the end points of open strings but leaves closed strings and topological order intact. |
| first_indexed | 2024-09-23T08:00:17Z |
| format | Article |
| id | mit-1721.1/51820 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:00:17Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/518202022-09-23T10:13:40Z Toric-boson model: Toward a topological quantum memory at finite temperature Hamma, Alioscia Castelnovo, Claudio Chamon, Claudio Massachusetts Institute of Technology. Research Laboratory of Electronics Hamma, Alioscia Hamma, Alioscia We discuss the existence of stable topological quantum memory at finite temperature. At stake here is the fundamental question of whether it is, in principle, possible to store quantum information for macroscopic times without the intervention from the external world, that is, without error correction. We study the toric code in two dimensions with an additional bosonic field that couples to the defects, in the presence of a generic environment at finite temperature: the toric-boson model. Although the coupling constants for the bare model are not finite in the thermodynamic limit, the model has a finite spectrum. We show that in the topological phase, there is a finite temperature below which open strings are confined and therefore the lifetime of the memory can be made arbitrarily (polynomially) long in system size. The interaction with the bosonic field yields a long-range attractive force between the end points of open strings but leaves closed strings and topological order intact. 2010-02-24T20:06:27Z 2010-02-24T20:06:27Z 2009-06 2009-04 Article http://purl.org/eprint/type/JournalArticle 1550-235X 1098-0121 http://hdl.handle.net/1721.1/51820 Hamma, Alioscia , Claudio Castelnovo, and Claudio Chamon. “Toric-boson model: Toward a topological quantum memory at finite temperature.” Physical Review B 79.24 (2009): 245122. © 2009 The American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevB.79.245122 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Hamma, Alioscia Castelnovo, Claudio Chamon, Claudio Toric-boson model: Toward a topological quantum memory at finite temperature |
| title | Toric-boson model: Toward a topological quantum memory at finite temperature |
| title_full | Toric-boson model: Toward a topological quantum memory at finite temperature |
| title_fullStr | Toric-boson model: Toward a topological quantum memory at finite temperature |
| title_full_unstemmed | Toric-boson model: Toward a topological quantum memory at finite temperature |
| title_short | Toric-boson model: Toward a topological quantum memory at finite temperature |
| title_sort | toric boson model toward a topological quantum memory at finite temperature |
| url | http://hdl.handle.net/1721.1/51820 |
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