Can long-range interactions stabilize quantum memory at nonzero temperature?
arXiv:1501.04112 · doi:10.1103/PhysRevA.91.032303
Abstract
A two-dimensional topologically ordered quantum memory is well protected against error if the energy gap is large compared to the temperature, but this protection does not improve as the system size increases. We review and critique some recent proposals for improving the memory time by introducing long-range interactions among anyons, noting that instability with respect to small local perturbations of the Hamiltonian is a generic problem for such proposals. We also discuss some broader issues regarding the prospects for scalable quantum memory in two-dimensional systems.
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References in corpus (12)
- Local stabilizer codes in three dimensions without string logical operators
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
- Autocorrelations and Thermal Fragility of Anyonic Loops in Topologically Quantum Ordered Systems
- Entanglement and topological entropy of the toric code at finite temperature
- Topological order in a 3D toric code at finite temperature
- On thermalization in Kitaev's 2D model
- Fault-tolerant logical gates in quantum error-correcting codes
- Classification of quantum phases and topology of logical operators in an exactly solved model of quantum codes
- Framework for classifying logical operators in stabilizer codes
- 3-d topological quantum memory with a power-law energy barrier
- Relaxation dynamics of the toric code in contact with a thermal reservoir: Finite-size scaling in a low temperature regime