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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 | Abstract: | Which 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 | Services: | Forum | Review | PDF | Favorites |
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