Thermodynamic stability criteria for a quantum memory based on stabilizer and subsystem codes

DOI10.1088/1367-2630/12/2/025013zbMath1360.82045arXiv0907.2807OpenAlexW3100410259WikidataQ57404200 ScholiaQ57404200MaRDI QIDQ2980741

Daniel Loss, Barbara M. Terhal, Sergey Bravyi, Stefano Chesi

Publication date: 3 May 2017

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

Full work available at URL: https://arxiv.org/abs/0907.2807

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (12)

Quantum Memory as a Perpetuum Mobile? Stability vs. Reversibility of Information Processing ⋮ Quantum Locally Testable Codes ⋮ Quantum Gibbs samplers: the commuting case ⋮ Commuting Pauli Hamiltonians as maps between free modules ⋮ Feasibility of self-correcting quantum memory and thermal stability of topological order ⋮ Majorana fermion codes ⋮ Quantum logarithmic Sobolev inequalities and rapid mixing ⋮ Thermalization time bounds for Pauli stabilizer Hamiltonians ⋮ Lower bounds to the spectral gap of Davies generators ⋮ Disorder-assisted error correction in Majorana chains ⋮ Classes of topological qubits from low-dimensional quantum spin systems ⋮ Hypercontractivity and logarithmic Sobolev inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates

Cites Work

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• Thermal states of anyonic systems
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• Topological quantum memory
• On Thermal Stability of Topological Qubit in Kitaev's 4D Model
• The Spontaneous Magnetization of a Two-Dimensional Ising Model
• Equilibrium and Non-Equilibrium Statistical Thermodynamics

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