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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.14 No.15&16 November 2014 |
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Fault-Tolerant quantum computation with constant overhead
(pp1338-1371)
Daniel
Gottesman
doi:
https://doi.org/10.26421/QIC14.15-16-5
Abstracts:
What is the minimum number of extra qubits needed to
perform a large fault-tolerant quantum circuit? Working in a common
model of fault-tolerance, I show that in the asymptotic limit of large
circuits, the ratio of physical qubits to logical qubits can be a
constant. The construction makes use of quantum low-density parity check
codes, and the asymptotic overhead of the protocol is equal to that of
the family of quantum error-correcting codes underlying the
fault-tolerant protocol.
Key words:
Fault tolerance, quantum error correction, LDPC codes |
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