Fault-tolerant quantum computation with long-range correlated noise |
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Authors: | Aharonov Dorit Kitaev Alexei Preskill John |
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Institution: | School of Computer Science and Engineering, Hebrew University, Jerusalem, Israel. |
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Abstract: | We prove a new version of the quantum accuracy threshold theorem that applies to non-Markovian noise with algebraically decaying spatial correlations. We consider noise in a quantum computer arising from a perturbation that acts collectively on pairs of qubits and on the environment, and we show that an arbitrarily long quantum computation can be executed with high reliability in D spatial dimensions, if the perturbation is sufficiently weak and decays with the distance r between the qubits faster than 1/r(D). |
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