Analytic solutions for quantum logic gates and modeling pulse errors in a quantum computer with a Heisenberg interaction

2003/11/21 by G. P. Berman, Berman, G. P., D. I. Kamenev +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0311152

arxiv created 2003/11/21 · arxiv updated 2009/12/01

Abstract

We analyze analytically and numerically quantum logic gates in a one-dimensional spin chain with Heisenberg interaction. Analytic solutions for basic one-qubit gates and swap gate are obtained for a quantum computer based on logical qubits. We calculated the errors caused by imperfect pulses which implement the quantum logic gates. It is numerically demonstrated that the probability error is proportional to ε⁴, while the phase error is proportional to ε, where ε is the characteristic deviation from the perfect pulse duration.

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