Implementing unitary operators in quantum computation

Details Implementing unitary operators in quantum computation Implementing unitary operators in quantum computation

1999-08-16

arxiv.org/abs/quant-ph/9908052v3

Phys. Rev. A 61 (2000) 032312

Physics

Quantum Physics

published version, 4 pages, 1 figure, REVTeX

Scientific paper

10.1103/PhysRevA.61.032312

We present a general method which expresses a unitary operator by the product of operators allowed by the Hamiltonian of spin-1/2 systems. In this method, the generator of an operator is found first, and then the generator is expanded by the base operators of the product operator formalism. Finally, the base operators disallowed by the Hamiltonian, including more than two-body interaction operators, are replaced by allowed ones by the axes transformation and coupling order reduction technique. This method directly provides pulse sequences for the nuclear magnetic resonance quantum computer, and can be generally applied to other systems.

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