Adiabatic evolution of a coupled-qubit Hamiltonian

Details Adiabatic evolution of a coupled-qubit Hamiltonian Adiabatic evolution of a coupled-qubit Hamiltonian

2003-10-16

arxiv.org/abs/cond-mat/0310386v1

Phys Rev B68 224508 (2003)

Physics

Condensed Matter

10 pages, 4 figures, to be pub.in Phys Rev B

Scientific paper

10.1103/PhysRevB.68.224508

We present a general method for studying coupled qubits driven by adiabatically changing external parameters. Extended calculations are provided for a two-bit Hamiltonian whose eigenstates can be used as logical states for a quantum CNOT gate. From a numerical analysis of the stationary Schroedinger equation we find a set of parameters suitable for representing CNOT, while from a time-dependent study the conditions for adiabatic evolution are determined. Specializing to a concrete physical system involving SQUIDs, we determine reasonable parameters for experimental purposes. The dissipation for SQUIDs is discussed by fitting experimental data. The low dissipation obtained supports the idea that adiabatic operations could be performed on a time scale shorter than the decoherence time.

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