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Nondeterministic logic gates in optical quantum computing. (English) Zbl 1137.81318
Chen, Goong (ed.) et al., Mathematics of quantum computation and quantum technology. Selected papers based on the presentations at the NSF conference, College Station, TX, November 2005. Boca Raton, FL: Chapman & Hall/CRC (ISBN 978-1-58488-899-4/hbk). Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Series, 223-255 (2008).
Summary: We present a detailed description of nondeterministic quantum logic gates: the crucial component of linear optical quantum computing. We use the qubits that are encoded in the polarization degrees of freedom, as opposed to the original dual-rail encoding. Employing the polarization-encoding scheme, we can avoid the undetected errors due to the inefficiency of the photodetectors and, therefore, achieve high gate fidelity, independent of the quantum efficiency of the detectors. Furthermore, we show that such a high-fidelity gate operation can be performed with no need of number-resolving detectors.
For the entire collection see [Zbl 1125.81001].
81P68 Quantum computation
78A05 Geometric optics