Quantum memory at nonzero temperature in a thermodynamically trivial system
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| Publicado en: | Nature Communications vol. 16, no. 1 (2025), p. 316 |
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| Publicado: |
Nature Publishing Group
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| Acceso en liña: | Citation/Abstract Full Text - PDF |
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| 022 | |a 2041-1723 | ||
| 024 | 7 | |a 10.1038/s41467-024-55570-7 |2 doi | |
| 035 | |a 3150992616 | ||
| 045 | 2 | |b d20250101 |b d20251231 | |
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| 245 | 1 | |a Quantum memory at nonzero temperature in a thermodynamically trivial system | |
| 260 | |b Nature Publishing Group |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a Passive error correction protects logical information forever (in the thermodynamic limit) by updating the system based only on local information and few-body interactions. A paradigmatic example is the classical two-dimensional Ising model: a Metropolis-style Gibbs sampler retains the sign of the initial magnetization (a logical bit) for thermodynamically long times in the low-temperature phase. Known models of passive quantum error correction similarly exhibit thermodynamic phase transitions to a low-temperature phase wherein logical qubits are protected by thermally stable topological order. Here, in contrast, we show that certain families of constant-rate classical and quantum low-density parity check codes have no thermodynamic phase transitions at nonzero temperature, but nonetheless exhibit ergodicity-breaking dynamical transitions: below a critical nonzero temperature, the mixing time of local Gibbs sampling diverges in the thermodynamic limit. Slow Gibbs sampling of such codes enables fault-tolerant passive quantum error correction using finite-depth circuits. This strategy is well suited to measurement-free quantum error correction, and may present a desirable experimental alternative to conventional quantum error correction based on syndrome measurements and active feedback.It has been commonly assumed that self-correcting quantum memories are only possible in systems with finite-temperature phase transitions to topological order. Here the authors show a complete breakdown of this expectation in quantum low-density parity-check codes. | |
| 653 | |a Samplers | ||
| 653 | |a Body temperature | ||
| 653 | |a Thermal stability | ||
| 653 | |a Error correction | ||
| 653 | |a Information systems | ||
| 653 | |a Fault tolerance | ||
| 653 | |a Low temperature | ||
| 653 | |a Topology | ||
| 653 | |a Phase transitions | ||
| 653 | |a Ising model | ||
| 653 | |a Codes | ||
| 653 | |a Sampling | ||
| 653 | |a Qubits (quantum computing) | ||
| 653 | |a Two dimensional bodies | ||
| 653 | |a Thermodynamics | ||
| 653 | |a Quantum phenomena | ||
| 653 | |a Error correction & detection | ||
| 653 | |a Parity | ||
| 653 | |a Temperature tolerance | ||
| 653 | |a Error correcting codes | ||
| 653 | |a Environmental | ||
| 773 | 0 | |t Nature Communications |g vol. 16, no. 1 (2025), p. 316 | |
| 786 | 0 | |d ProQuest |t Health & Medical Collection | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3150992616/abstract/embedded/09EF48XIB41FVQI7?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3150992616/fulltextPDF/embedded/09EF48XIB41FVQI7?source=fedsrch |