Geometric Quantum Computation on Solid-State Qubits

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.

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

References in corpus (4)

• Manipulating the Quantum State of an Electrical Circuit
• Geometric Manipulation of Trapped Ions for Quantum Computation
• Charge echo in a Cooper-pair box
• Coherent oscillations in a Cooper-pair box

Cited by in corpus (7)

• Geometric quantum gates with superconducting qubits
• Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling
• Non-Abelian geometric phases in ground state Josephson devices
• Holonomic Quantum Computing Based on the Stark Effect
• Corrections to the Berry phase in a solid-state qubit due to low-frequency noise
• Control aspects of holonomic quantum computation
• Mixed state non-Abelian holonomy for subsystems