Geometric quantum computation on solid-state qubits

Abstract

Geometric quantum computation is a scheme to use non-Abelian 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.

Control aspects of holonomic quantum computation

“…An interesting hybrid scheme to quantum computing involving dynamical SU (2) rotations and conditional Berry phases has been realized as a universal set of gates for several physical systems proposed for quantum computing. To date, there have been HQC implementations using this control paradigm with NMR [13], trapped ions [14], neutral atoms [15], semiconductor nanostructures [17], and Josephson junction networks [18,19]. We refer the reader to the literature for a description of the physical systems underlying these proposed quantum computing schemes.…”

Geometric Phase in a Tunneling-Coupled Quantum Dot Molecule

“…Because geometric phase only depends on the evolution of the overall geometry of the path in the parametric space of the system, it is considered to be effective against random noise, insensitive to the small parameter fluctuations. It can be used to achieve fault-tolerant geometric quantum logic gates and geometric quantum computation, and has anti-jamming capability [1,2]. Therefore, the study of geometric phase has aroused a lot of interest [3][4][5][6][7][8].…”

Corrections to the Berry phase in a solid-state qubit due to low-frequency noise

“…Superconducting circuits are good candidates to potentially manipulate efficiently quantum information. Current circuit technology allows scaling to large and more complex circuits [19,20]. Several experiments with superconducting Josephson-junction circuits have demonstrated quantum coherent oscillations with a long decay time, probing coherent properties of Josephson qubits and positioning them as useful candidates for applications in quantum computing and quantum communication.…”