Geometric Quantum Computation on Solid-State Qubits

Details Geometric Quantum Computation on Solid-State Qubits Geometric Quantum Computation on Solid-State Qubits

2001-11-03

arxiv.org/abs/quant-ph/0111019v4

Physics

Quantum Physics

6 figures; to appear in J. Phys.: Condens. Matt

Scientific paper

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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