The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.
Quantum Self-Correction in the 3D Cubic Code Model
Open accessAbstract
A big open question in the quantum information theory concerns the feasibility of a self-correcting quantum memory. A quantum state recorded in such memory can be stored reliably for a macroscopic time without need for active error correction, if the memory is in contact with a cold enough thermal bath. Here we report analytic and numerical evidence for self-correcting behavior in the quantum spin lattice model known as the 3D cubic code. We prove that its memory time is at least L(cβ), where L is the lattice size, β is the inverse temperature of the bath, and c>0 is a constant coefficient. However, this bound applies only if the lattice size L does not exceed a critical value which grows exponentially with β. In that sense, the model can be called a partially self-correcting memory. We also report a Monte Carlo simulation indicating that our analytic bounds on the memory time are tight up to constant coefficients. To model the readout step we introduce a new decoding algorithm, which can be implemented efficiently for any topological stabilizer code. A longer version of this work can be found in Bravyi and Haah, arXiv:1112.3252.
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Cites
Fault-tolerant quantum computation by anyons
Kitaev, A. Y. (2003) · Annals of Physics · doi:10.1016/s0003-4916(02)00018-0 · Cited by 7,238
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868 · cited 1×
“Ground states of topologically ordered many-body systems, such as fractional quantum Hall liquids [30, 37] and unpaired Majorana fermions in nanowires and 2D heterostructures [1, 20, 39, 41, 43] were proposed as a natural quantum data repository insensitive to local imperfections.”
BackgroundHelical Liquids and Majorana Bound States in Quantum Wires
Oreg, Y., Refael, G., & von Oppen, F. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.177002 · Cited by 3,167
A new algorithm for Monte Carlo simulation of Ising spin systems
Bortz, A. B., Kalos, M. H., & Lebowitz, J. L. (1975) · Journal of Computational Physics · doi:10.1016/0021-9991(75)90060-1 · Cited by 2,403
Generic New Platform for Topological Quantum Computation Using Semiconductor Heterostructures
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Non-Abelian statistics and topological quantum information processing in 1D wire networks
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Theory of fault-tolerant quantum computation
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Cited by
Quantum error correction for quantum memories
Terhal, B. M. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.307 · Cited by 1,354
Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
Lostaglio, M., Jennings, D., & Rudolph, T. (2015) · Nature Communications · doi:10.1038/ncomms7383 · Cited by 727
Fracton topological order, generalized lattice gauge theory, and duality
Vijay, S., Haah, J., & Fu, L. (2016) · Physical Review B · doi:10.1103/physrevb.94.235157 · Cited by 553
Self-citationNandkishore, R. M., & Hermele, M. (2019) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031218-013604 · Cited by 517
Bonilla Ataides, J. P., Tuckett, D. K., Bartlett, S. D., Flammia, S. T., & Brown, B. J. (2021) · Nature Communications · doi:10.1038/s41467-021-22274-1 · Cited by 262
Metadata
- Authors
- Bravyi, S., & Haah, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2013-11-12
- Volume
- 111
- Issue
- 20
- Pages
- 200501-200501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1710401991
- Cited by
- 291
- References
- 45
- FWCI
- 18.77
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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