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DOE OSTI · 21528583

Ground-state geometric quantum computing in superconducting systems

Solinas, P·Pirkkalainen, J -M·Moettoenen, M
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Abstract

We present a theoretical proposal for the implementation of geometric quantum computing based on a Hamiltonian which has a doubly degenerate ground state. Thus the system which is steered adiabatically, remains in the ground-state. The proposed physical implementation relies on a superconducting circuit composed of three SQUIDs and two superconducting islands with the charge states encoding the logical states. We obtain a universal set of single-qubit gates and implement a nontrivial two-qubit gate exploiting the mutual inductance between two neighboring circuits, allowing us to realize a fully geometric ground-state quantum computing. The introduced paradigm for the implementation of geometric quantum computing is expected to be robust against environmental effects.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITYCHARGE STATESCOMPUTERSELECTRICAL PROPERTIESELECTRONIC CIRCUITSELECTRONIC EQUIPMENTEQUIPMENTFLUXMETERSGEOMETRYHAMILTONIANSIMPLEMENTATIONINDUCTANCELOGIC CIRCUITSMATHEMATICAL OPERATORSMATHEMATICSMEASURING INSTRUMENTSMICROWAVE EQUIPMENTPHYSICAL PROPERTIESQUANTUM COMPUTERSQUANTUM OPERATORSSQUID DEVICESSUPERCONDUCTING DEVICESSUPERCONDUCTORS

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BibTeXRIS

Solinas, P, Pirkkalainen, J -M, Moettoenen, M. 2010-11-15. Ground-state geometric quantum computing in superconducting systems. https://doi.org/10.1103/physreva.82.052304

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