Non-holonomic Quantum Devices

Abstract

We analyze the possibility and efficiency of non-holonomic 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.

8 revtex pages, 4 postscript figures

Cited by in corpus (8)

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• Implementation of a CNOT gate in two Rydberg atoms by the nonholonomic control technique
• Decoherence Correction by the Zeno Effect and Non-Holonomic Control
• Single-step controlled-NOT logic from any exchange interaction
• Compiling universal quantum circuits