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- W4313302725 abstract "We consider a spatial analogue of the quantum error correction threshold. Given individual time-independent subsystems in which quantum information is coherent over sufficiently long lengths, we show how the information can be kept coherent for arbitrarily long lengths by forming time-independent composite systems. The subsystem coherence length exhibits threshold behavior. When it exceeds a length ${xi}_{th}$, meaningful information can be extracted from the ground state of the composite system. Otherwise, the information is garbled. The threshold transition implies that the parent Hamiltonian of the ground state has gone from gapped to gapless. Ramifications of the construction for PEPS and for adiabatic quantum computation are noted." @default.
- W4313302725 created "2023-01-06" @default.
- W4313302725 creator A5009117801 @default.
- W4313302725 date "2014-03-29" @default.
- W4313302725 modified "2023-09-23" @default.
- W4313302725 title "Spatial quantum error correction threshold" @default.
- W4313302725 doi "https://doi.org/10.48550/arxiv.1403.7694" @default.
- W4313302725 hasPublicationYear "2014" @default.
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