Implementing unitary operators in quantum computation

Abstract

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.

published version, 4 pages, 1 figure, REVTeX

References in corpus (4)

• Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
• Higher Order Methods for Simulations on Quantum Computers
• Quantum Logic Gates and Nuclear Magnetic Resonance Pulse Sequences
• Pulse Sequences for NMR Quantum Computers: How to Manipulate Nuclear Spins While Freezing the Motion of Coupled Neighbours

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