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Fault-tolerant quantum computation with long-range correlated noise
Dorit Aharonov, Alexei Kitaev, John Preskill
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 quantu…
Topological entanglement entropy
Alexei Kitaev, John Preskill
We formulate a universal characterization of the many-particle quantum entanglement in the ground state of a topologically ordered two-dimensional medium with a mass gap. We consid…
Phase randomization improves the security of quantum key distribution
Hoi-Kwong Lo, John Preskill
Ideal quantum key distribution (QKD) protocols call for a source that emits single photon signals, but the sources used in typical practical realizations emit weak coherent states…
Quantum accuracy threshold for concatenated distance-3 codes
Panos Aliferis, Daniel Gottesman, John Preskill
We prove a new version of the quantum threshold theorem that applies to concatenation of a quantum code that corrects only one error, and we use this theorem to derive a rigorous l…