Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective

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dc.creatorNovais, E.
dc.creatorMucciolo, Eduardo R.
dc.creatorBaranger, Harold U.
dc.date2006-07-22
dc.date2006-11-15
dc.date.accessioned2026-07-07T07:42:27Z
dc.date.available2026-07-07T07:42:27Z
dc.descriptionWe analyze the problem of a quantum computer in a correlated environment protected from decoherence by QEC using a perturbative renormalization group approach. The scaling equation obtained reflects the competition between the dimension of the computer and the scaling dimension of the correlations. For an irrelevant flow, the error probability is reduced to a stochastic form for long time and/or large number of qubits; thus, the traditional derivation of the threshold theorem holds for these error models. In this way, the ``threshold theorem'' of quantum computing is rephrased as a dimensional criterion.
dc.description4.1 pages, minor correction and an improved discussion of Eqs. (4) and (14)
dc.identifierhttps://arxiv.org/abs/quant-ph/0607155
dc.identifierhttp://arxiv.org/abs/quant-ph/0607155
dc.identifierPhys. Rev. Lett. 98, 040501 (2007)
dc.identifierdoi:10.1103/PhysRevLett.98.040501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122448
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleResilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective
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