Time Optimal Unitary Operations

Abstract

Extending our previous work on time optimal quantum state evolution, we formulate a variational principle for the time optimal unitary operation, which has direct relevance to quantum computation. We demonstrate our method with three examples, i.e. the swap of qubits, the quantum Fourier transform and the entangler gate, by choosing a two-qubit anisotropic Heisenberg model.

4 pages, 1 figure. References added

References in corpus (4)

• Quantum Computation as Geometry
• Time Minimal Trajectories for a Spin 1/2 Particle in a Magnetic Field
• Optimal control, geometry, and quantum computing
• Tunable coupling scheme for flux qubits at the optimal point

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