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Geometric Quantum Computation on Solid-State Qubits

Mahn-Soo Choi
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Abstract

An adiabatic cyclic evolution of control parameters of a quantum system ends up with a holonomic operation on the system, determined entirely by the geometry in the parameter space. The operation is given either by a simple phase factor (a Berry phase) or a non-Abelian unitary operator depending on the degeneracy of the eigenspace of the Hamiltonian. Geometric quantum computation is a scheme to use such holonomic operations rather than the conventional dynamic operations to manipulate quantum states for quantum information processing. Here we propose a geometric quantum computation scheme which can be realized with current technology on nanoscale Josephson-junction networks, known as a promising candidate for solid-state quantum computer.

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Mahn-Soo Choi. 2003-09-29. Geometric Quantum Computation on Solid-State Qubits. https://doi.org/10.1088/0953-8984%2F15%2F46%2F001

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