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arXiv · 1310.2984

Fault-Tolerant Quantum Computation with Constant Overhead

Daniel Gottesman
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Abstract

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.

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Daniel Gottesman. 2014-07-22. Fault-Tolerant Quantum Computation with Constant Overhead. https://arxiv.org/abs/1310.2984

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