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Surface code fidelity at finite temperatures

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Author(s):
Novais, E. ; Stanforth, A. J. ; Mucciolo, Eduardo R.
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW A; v. 95, n. 4, p. 14-pg., 2017-04-26.
Abstract

We study the dependence of the fidelity of the surface code in the presence of a single finite-temperature massless bosonic environment after a quantum error correction cycle. The three standard types of environment are considered: super-Ohmic, Ohmic, and sub-Ohmic. Our results show that, for regimes relevant to current experiments, quantum error correction works well even in the presence of environment-induced, long-range interqubit interactions. A threshold always exists at finite temperatures, although its temperature dependence is very sensitive to the type of environment. For the super-Ohmic case, the critical coupling constant separating high from low fidelity decreases with increasing temperature. For both Ohmic and super-Ohmic cases, the dependence of the critical coupling on temperature is weak. In all cases, the critical coupling is determined by microscopic parameters of the environment. For the sub-Ohmic case, it also depends strongly on the duration of the QEC cycle. (AU)

FAPESP's process: 14/26356-9 - Quantum phases of out of equilibrium systems in quantum information problems
Grantee:Eduardo Peres Novais de Sá
Support Opportunities: Regular Research Grants