ANALYTIC SOLUTIONS FOR QUANTUM LOGIC GATES AND MODELING PULSE ERRORS IN A QUANTUM COMPUTER WITH A HEISENBERG INTERACTION

DOI10.1142/S0219749904000237zbMATH Open1067.81008arXivquant-ph/0311152MaRDI QIDQ4669665

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Publication date: 15 April 2005

Published in: (Search for Journal in Brave)

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 $epsilo{n}^4$, while the phase error is proportional to $epsilon$, where $epsilon$ is the characteristic deviation from the perfect pulse duration.

Full work available at URL: https://arxiv.org/abs/quant-ph/0311152

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