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arXiv:quant-ph/0605117 · Laser Physics

The one-way CNOT simulation

P. Campanale, DOMENICO PICCA

Published Oct 30, 2006• 0 citations
arXivHTMLPDF

Abstract

In this paper, we present the complete simulation of the quantum logic CNOT gate in the one-way model, which consists entirely of one-qubit measurements on a particular class of entangled states.
DOI
10.1134/s1054660x06110107

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We prove that a generic three-qubit quantum logic gate can be implemented using at most 98 one-qubit rotations about the yyy- and zzz-axes and 40 CNOT gates, beating an earlier bound of 64 CNOT gates.
We report the characterization of a universal set of logic gates for one-way quantum computing using a four-photon ‘star’ cluster state generated by fusing photons from two independent photonic crystal fibre sources. We obtain a fidelity for the cluster state of 0.66 ± 0.01 with respect to the ideal case. We perform quantum process tomography to completely characterize a controlled-NOT, Hadamard and T gate all on the same compact entangled resource. Together, these operations make up a universal set of gates such that arbitrary quantum logic can be efficiently constructed from combinations of them. We find process fidelities with respect to the ideal cases of 0.64 ± 0.01 for the CNOT, 0.67 ± 0.03 for the Hadamard and 0.76 ± 0.04 for the T gate. The characterization of these gates enables the simulation of larger protocols and algorithms. As a basic example, we simulate a Swap gate consisting of three concatenated CNOT gates. Our work provides some pragmatic insights into the prospects for building up to a fully scalable and fault-tolerant one-way quantum computer with photons in realistic conditions.