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Reduced Hamiltonian Technique for Gate Design in Strongly Coupled Quantum Systems

Authors:
Preethika Kumar
Steven Skinner
Sahar Daraeizadeh

Keywords: quantum; nearest-neighbor; gates; controlled-unitary; coupling; Hamiltonian

Abstract:
We introduce a new reduced-Hamiltonian scheme for realizing universal quantum computing in strongly coupled multi-qubit systems. This technique provides analytic solutions to the time evolution of the system, so that experimentalists can easily chose system parameters to realize desired quantum gates. We show how to implement arbitrary controlled-unitary operations in a one-dimensional nearest-neighbor architecture by deriving system parameters to achieve these operations. The key feature of the scheme is that all gate operations are realized by varying only a single control parameter, which greatly reduces the circuit complexity. Furthermore, we do not require the ability to tune couplings during a computation. We also show how the scheme can be extended to realize a controlled-unitary operation, involving N control qubits and one target qubit, in a single pulse.

Pages: 28 to 34

Copyright: Copyright (c) IARIA, 2011

Publication date: August 21, 2011

Published in: conference

ISSN: 2308-3530

ISBN: 978-1-61208-151-9

Location: Nice/Saint Laurent du Var, France

Dates: from August 21, 2011 to August 27, 2011