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Non-holonomic Quantum Devices

By Gil Harel, V.M. Akulin and V. Gershkovich

Abstract

NoWe analyze the possibility and efficiency of nonholonomic control over quantum devices with exponentially large number of Hilbert space dimensions. We show that completely controllable devices of this type can be assembled from elementary units of arbitrary physical nature, and can be employed efficiently for universal quantum computations and simulation of quantum-field dynamics. As an example we describe a toy device that can perform Toffoli-gate transformations and discrete Fourier transform on 9 qubits

Topics: Nonholonomic control, Quantum devices, Hilbert space dimensions, Universal quantum computations, Quantum field dynamics, Discrete Fourier transform
Year: 2009
OAI identifier: oai:bradscholars.brad.ac.uk:10454/2698
Provided by: Bradford Scholars
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