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Phys. Rev. A 72, 042311 (2005) [9 pages]

Quantum gates using a pulsed bias scheme

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P. K. Gagnebin1, S. R. Skinner1, E. C. Behrman2, J. E. Steck3, Z. Zhou4, and S. Han5
1Department of Electrical Engineering, Campus Box 44, Wichita State University, Wichita, Kansas 67260, USA
2Department of Physics, Campus Box 32, Wichita State University, Wichita, Kansas 67260, USA
3Department of Aerospace Engineering, Campus Box 44, Wichita State University, Wichita, Kansas 67260, USA
4Department of Chemistry, University of Kansas, Lawrence, Kansas 66045, USA
5Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas 66045, USA

Received 15 October 2004; revised 10 June 2005; published 7 October 2005

We propose a scheme for realizing quantum gates [controlled-NOT (cnot) and Toffoli] using a two-level quantum system by means of a pulsed bias. We show how to realize a cnot gate using a two-qubit, two-level coupled system and a Toffoli gate using a three-qubit, two-level coupled system. For the cnot gate, we show how to reduce the 4×4 Hamiltonian of the coupled system to a 2×2 Hamiltonian in order to solve for parameter values of the system. When these values are substituted into the coupled system equations for the two-qubit system, the simulation results confirm the cnot gate operation. We further demonstrate our proposed scheme for a cnot gate operation using a multilevel system of two coupled superconducting quantum interference devices as a particular example. We next use the same approach to implement a Toffoli gate using a three-qubit system.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.72.042311
DOI: 10.1103/PhysRevA.72.042311
PACS: 03.67.Lx, 85.25.Dq, 85.25.Hv

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