Fault tolerant quantum computation with very high threshold for loss errors

Abstract

Many proposals for fault tolerant quantum computation (FTQC) suffer detectable loss processes. Here we show that topological FTQC schemes, which are known to have high error thresholds, are also extremely robust against losses. We demonstrate that these schemes tolerate loss rates up to 24.9%, determined by bond percolation on a cubic lattice. Our numerical results show that these schemes retain good performance when loss and computational errors are simultaneously present.

4 pages, comments still very welcome. v2 is a reasonable approximation to the published version

References in corpus (7)

• Fault-tolerant quantum computation with high threshold in two dimensions
• Topological fault-tolerance in cluster state quantum computation
• Fast Decoders for Topological Quantum Codes
• Thresholds for topological codes in the presence of loss
• Error Correction and Degeneracy in Surface Codes Suffering Loss
• Fault Tolerance in Parity-State Linear Optical Quantum Computing
• Scalability of quantum computation with addressable optical lattices

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