Feasibility of self-correcting quantum memory and thermal stability of topological order

DOI10.1016/j.aop.2011.06.001zbMath1232.81012arXiv1103.1885OpenAlexW2062716497WikidataQ55969506 ScholiaQ55969506MaRDI QIDQ643656

Beni Yoshida

Publication date: 2 November 2011

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1885

zbMATH Keywords

entanglementtopological phasetopological quantum field theorythermal stabilityquantum coding theoryself-correcting quantum memorysrabilizer code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Quantum computation (81P68) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Many-body theory; quantum Hall effect (81V70) Other types of codes (94B60) Quantum coherence, entanglement, quantum correlations (81P40) Thermal quantum field theory (81T28) Quantum coding (general) (81P70)

Related Items

Quantum Locally Testable Codes ⋮ Quantum Gibbs samplers: the commuting case ⋮ Information storage capacity of discrete spin systems ⋮ Stability of frustration-free Hamiltonians ⋮ Commuting Pauli Hamiltonians as maps between free modules ⋮ Cellular automaton decoders of topological quantum memories in the fault tolerant setting ⋮ Error suppression and error correction in adiabatic quantum computation: non-equilibrium dynamics ⋮ Topological order, entanglement, and quantum memory at finite temperature ⋮ A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)

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