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AIP conference proceedings

Silicon Quantum Computer

Kohei M. Itoh

Published Jan 1, 2005• 0 citations
Publisher

Abstract

Our progress towards realization of the all‐silicon solid‐state NMR quantum computer [PRL, 89, 017901 (2002) and revised version] is reported. We show experimentally that the phase memory time TM (or phase decoherence time T2) of 29Si nuclear spins in single‐crystal Si at room temperature can be extended up to 25 s (and possibly more) using RF decoupling techniques [quant‐ph/0309164 (2003)]. A simple estimate shows that a T2 of 25 s will allow for 106 single‐qubit and 104 two‐qubit operations, by far the largest number of operations possible among existing solid‐state quantum computer schemes. Recent progress in materials science needed for the realization of the all‐silicon quantum computer is also discussed.

DOI
10.1063/1.1993993

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Our progress towards realization of the all‐silicon solid‐state NMR quantum computer [PRL, 89, 017901 (2002) and revised version] is reported. We show experimentally that the phase memory time TM (or phase decoherence time T2) of 29Si nuclear spins in single‐crystal Si at room temperature can be extended up to 25 s (and possibly more) using RF decoupling techniques [quant‐ph/0309164 (2003)]. A simple estimate shows that a T2 of 25 s will allow for 106 single‐qubit and 104 two‐qubit operations, by far the largest number of operations possible among existing solid‐state quantum computer schemes. Recent progress in materials science needed for the realization of the all‐silicon quantum computer is also discussed.
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The discovery of the quantum factorization algorithm more than a decade ago triggered intense interest in exploring possible physical realizations of quantum computers. Among the many solid state proposals, electron and nuclear spins in Si and group IV related materials have long coherence times and the capability of state preparation, gating and read-out using electric, magnetic and optical fields. Proposals involving silicon seek to take advantage of an existing mature technology and the implicit promise of scalability from solid state materials. Nevertheless, building such quantum systems depends in many cases on the development of fabrication techniques with nearly atomic precision. Managing decoherence, initialization and read-out in any quantum computer remains a daunting task. In this review we summarize proposals and recent developments relevant to the possible realization of a quantum computer constructed out of Si (or group IV) materials.
As an ensemble scheme of solid-state NMR quantum computers the extension of Kane's many-qubits silicon scheme based on the array of 31 P donor atoms are spaced lengthwise of the strip gates is considered. The possible planar topology of such ensemble quantum computer is suggested. The estimation of the output NMR signal was performed and it was shown that for the number N>=10^5 of ensemble elements involving L~10^3 qubits each, the standard NMR methods are usable. As main mechanisms of decoherence for low temperature (<0.1K), the adiabatic processes of random modulation of qubit resonance frequency determined by secular part of nuclear spin hyperfine interaction with electron magnetic moment of basic atom and dipole-dipole interaction with nuclear moments of neighboring impurity atoms was considered, It was made estimations of allowed concentrations of magnetic impurities and of spin temperature whereby the required decoherence suppression is obtained. Semiclassical decoherence model of two qubit entangled states is also presented. As another variant of the solid-state ensemble quantum computer, the gateless architecture of cellular-automaton with antiferromagnetically ordered electron spins is also discussed here.
Rapid developments in quantum information processing have been made, and remarkable achievements have been obtained in recent years, both in theory and experiments. Coherent control of nuclear spin dynamics is a powerful tool for the experimental implementation of quantum schemes in liquid and solid nuclear magnetic resonance (NMR) system, especially in liquid-state NMR. Compared with other quantum information processing systems, the NMR platform has the advantages such as the long coherence time, the precise manipulation, and well-developed quantum control techniques, which make it possible to accurately control a quantum system with up to 12-qubits. Extensive applications of liquid-state NMR spectroscopy in quantum information processing such as quantum communication, quantum computing, and quantum simulation have been thoroughly studied over half a century. This article introduces the general principles of NMR quantum information processing, and reviews the new-developed techniques. The review will also include the recent achievements of the experimental realization of quantum algorithms for machine learning, quantum simulations for high energy physics, and topological order in NMR. We also discuss the limitation and prospect of liquid-state NMR spectroscopy and the solid-state NMR systems as quantum computing in the article.