Practical scheme for quantum computation with any two-qubit entangling gate

被引:187
作者
Bremner, MJ [1 ]
Dawson, CM
Dodd, JL
Gilchrist, A
Harrow, AW
Mortimer, D
Nielsen, MA
Osborne, TJ
机构
[1] Univ Queensland, Ctr Quantum Comp Technol, Brisbane, Qld 4072, Australia
[2] Univ Queensland, Dept Phys, Brisbane, Qld 4072, Australia
[3] MIT Phys, Cambridge, MA 02139 USA
关键词
D O I
10.1103/PhysRevLett.89.247902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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, 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. 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 result for systems of arbitrary finite dimension has been provided by Brylinski and Brylinski; however, their proof relies on a long argument using advanced mathematics. In contrast, our proof provides a simple constructive procedure which is close to optimal and experimentally practical.
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页数:3
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