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arXiv:quant-ph/0505125 · Physical Review A

Efficient parity-encoded optical quantum computing

Alexei Gilchrist, Anthony Hayes, Timothy C. Ralph

Published May 22, 2007• 26 citations
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Abstract

We present a linear optics quantum computation scheme with a greatly reduced cost in resources compared to that proposed by Knill, Laflamme, and Milburn (KLM). The scheme makes use of elements from cluster state computation but retains the circuit based approach of KLM.
DOI
10.1103/physreva.75.052328

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We suggest an efficient scheme for quantum computation with linear optical elements, where the qubits are encoded in single photon states. The scheme reduces the resources required per logical gate by several orders of magnitude, compared to an earlier proposal of Knill, Laflamme, and Milburn, while the resource overhead per gate is independent of the length of the computation. A central feature of the scheme, enabling these improvements, is the prior construction of a "linked" photon state designed according to the particular quantum circuit one wishes to process. Once this state has been successfully prepared, the computation is pursued deterministically by a sequence of teleportation steps.
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