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Paper 1
Reducing the overhead for quantum computation when noise is biased
Paul Webster, Stephen D. Bartlett, David Poulin
- Year
- 2015
- Journal
- arXiv preprint
- DOI
- arXiv:1509.05032
- arXiv
- 1509.05032
We analyse a model for fault-tolerant quantum computation with low overhead suitable for situations where the noise is biased. The basis for this scheme is a gadget for the fault-tolerant preparation of magic states that enable universal fault-tolerant quantum computation using only Clifford gates that preserve the noise bias. We analyse the distillation of $|T\rangle$-type magic states using this gadget at the physical level, followed by concatenation with the 15-qubit quantum Reed-Muller code, and comparing our results with standard constructions. In the regime where the noise bias (rate of Pauli $Z$ errors relative to other single-qubit errors) is greater than a factor of 10, our scheme has lower overhead across a broad range of relevant noise rates.
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