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28 March 2024
 
  » arxiv » quant-ph/0207072

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A practical scheme for quantum computation with any two-qubit entangling gate
Michael J. Bremner ; Christopher M. Dawson ; Jennifer L. Dodd ; Alexei Gilchrist ; Aram W. Harrow ; Duncan Mortimer ; Michael A. Nielsen ; Tobias J. Osborne ;
Date 12 Jul 2002
Journal Phys. Rev. Lett. 89, 247902 (2002)
Subject quant-ph
AbstractWhich gates are universal for quantum computation? Although it is well known that certain gates on two-level quantum systems (qubits), such as the controlled-not (CNOT), are universal when assisted by arbitrary one-qubit gates, it has only recently become clear precisely what class of two-qubit gates is universal in this sense. Here we present an elementary proof that any entangling two-qubit gate is universal for quantum computation, when assisted by one-qubit gates. A proof of this important result for systems of arbitrary finite dimension has been provided by J. L. and R. Brylinski [arXiv:quant-ph/0108062, 2001]; however, their proof relies upon a long argument using advanced mathematics. In contrast, our proof provides a simple constructive procedure which is close to optimal and experimentally practical [C. M. Dawson and A. Gilchrist, online implementation of the procedure described herein (2002), http://www.physics.uq.edu.au/gqc/].
Source arXiv, quant-ph/0207072
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