Geometric phases in dressed state quantum computation

Abstract

Geometric phases arise naturally in a variety of quantum systems with observable consequences. They also arise in quantum computations when dressed states are used in gating operations. Here we show how they arise in these gating operations and how one may take advantage of the dressed states producing them. Specifically, we show that that for a given, but arbitrary Hamiltonian, and at an arbitrary time τ, there always exists a set of dressed states such that a given gate operation can be performed by the Hamiltonian up to a phase ϕ. The phase is a sum of a dynamical phase and a geometric phase. We illustrate the new phase for several systems.

4 pages, 2 figures

References in corpus (7)

• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Direct Observation of Second Order Atom Tunnelling
• Perfect function transfer and interference effects in interacting boson lattices
• Geometric Effects and Computation in Spin Networks
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