Topological cluster state quantum computing
Austin G. Fowler, Kovid Goyal
TL;DR
This paper reviews a 3-D cluster state quantum computing scheme that offers high error thresholds and efficient long-range logical gates, emphasizing its stabilizer-based framework and error correction capabilities.
Contribution
It provides a detailed review of a 3-D cluster state quantum computing scheme with novel error correction and high threshold error rates, focusing on stabilizer formalism.
Findings
Threshold error rate approaching 1%
Capable of correcting general errors via Z error correction
Supports low-overhead, long-range logical gates
Abstract
The quantum computing scheme described in Phys. Rev. Lett. 98, 190504 (2007), when viewed as a cluster state computation, features a 3-D cluster state, novel adjustable strength error correction capable of correcting general errors through the correction of Z errors only, a threshold error rate approaching 1% and low overhead arbitrarily long-range logical gates. In this work, we review the scheme in detail framing discussion solely in terms of the required 3-D cluster state and its stabilizers.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Electronic and Structural Properties of Oxides · Advanced Memory and Neural Computing