Physics – Quantum Physics
Scientific paper
2005-06-24
Phys. Rev. A 73, 052311 (2006)
Physics
Quantum Physics
19 pages. v2: Significantly expanded version. New title. Includes a debate section in response to comments on the previous ver
Scientific paper
10.1103/PhysRevA.73.052311
We critically examine the internal consistency of a set of minimal assumptions entering the theory of fault-tolerant quantum error correction for Markovian noise. These assumptions are: fast gates, a constant supply of fresh and cold ancillas, and a Markovian bath. We point out that these assumptions may not be mutually consistent in light of rigorous formulations of the Markovian approximation. Namely, Markovian dynamics requires either the singular coupling limit (high temperature), or the weak coupling limit (weak system-bath interaction). The former is incompatible with the assumption of a constant and fresh supply of cold ancillas, while the latter is inconsistent with fast gates. We discuss ways to resolve these inconsistencies. As part of our discussion we derive, in the weak coupling limit, a new master equation for a system subject to periodic driving.
Alicki Robert
Lidar Daniel A.
Zanardi Paolo
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