Robust logic gates and realistic quantum computation

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Li Xiao and Jonathan A. Jones
Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, Parks Road, OX1 3PU, United Kingdom

Received 11 November 2005; published 23 March 2006

Thecomposite rotation approach has been used to develop a rangeof robust quantum logic gates, including single qubit gates andtwo qubit gates, which are resistant to systematic errors intheir implementation. Single qubit gates based on the BB1 familyof composite rotations have been experimentally demonstrated in a varietyof systems, but little study has been made of theirapplication in extended computations, and there has been no experimentalstudy of the corresponding robust two qubit gates to date.Here we describe an application of robust gates to nuclearmagnetic resonance studies of approximate quantum counting. We find thatthe BB1 family of robust gates is indeed useful, butthat the related NB1, PB1, B4, and P4 families oftailored logic gates are less useful than initially expected.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.032334
DOI:	10.1103/PhysRevA.73.032334
PACS:	03.67.Lx; 82.56.-b 03.67.Lx Quantum computation 82.56.-b Nuclear magnetic resonance (of chemical processes) YEAR: 2006
KEYWORDS:	quantum gates, error analysis, nuclear magnetic resonance

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