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arXiv:cond-mat/0409626

Theory of solid state quantum information processing

Guido Burkard

Published Sep 23, 2004• 11 citations
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Abstract

Recent theoretical work on solid-state proposals for the implementation of quantum computation and quantum information processing is reviewed. The differences and similarities between microscopic and macroscopic qubits are highlighted and exemplified by the spin qubit proposal on one side and the superconducting qubits on the other. Before explaining the spin and supercondcuting qubits in detail, some general concepts that are relevant for both types of solid-state qubits are reviewed. The controlled production of entanglement in solid-state devices, the transport of carriers of entanglement, and entanglement detection will be discussed in the final part of this review.

DOI
10.48550/arxiv.cond-mat/0409626

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The proposal of quantum information processing has shown us the first serious possibility, though still limited in applications, to break away from the traditional spell that has been binding integration scale and processing power for some time. The qubit (quantum bit), the basic element of quantum information processing, consists of a quantum two-level system that can be brought to a superposition by an external mean. Among the numerous possible two-level systems, various typical microscopic two-level systems such as nuclear spins and atomic states have been utilized first to demonstrate the realization of quantum calculation. However, to realize a scaled-up version of a quantum computing system consisting of hundreds of qubits, a solid state electronics version of it is considered to be indispensable. We demonstrate the first electronic control of 1-qubit achieved in a solid state device using a submicron electron device called a single-electron box, a small conductive box connected to the outside by a tunnel junction and a gate capacitor. The scalability of such a solid state qubit is considered to be a prerequisite for a practical quantum computer of the future.
We review progress on the use of electron spins to store and process quantum information, with particular focus on the ability of the electron spin to interact with multiple quantum degrees of freedom. We examine the benefits of hybrid quantum bits (qubits) in the solid state that are based on coupling electron spins to nuclear spins, electron charge, optical photons, and superconducting qubits. These benefits include the coherent storage of qubits for times exceeding seconds; fast qubit manipulation; single qubit measurement; and scalable methods for entangling spatially separated, matter-based qubits. In this way, the key strengths of different physical qubit implementations are brought together, laying the foundation for practical solid-state quantum technologies.
We review progress on the use of electron spins to store and process quantum information, with particular focus on the ability of the electron spin to interact with multiple quantum degrees of freedom. We examine the benefits of hybrid quantum bits (qubits) in the solid state that are based on coupling electron spins to nuclear spin, electron charge, optical photons, and superconducting qubits. These benefits include the coherent storage of qubits for times exceeding seconds, fast qubit manipulation, single qubit measurement, and scalable methods for entangling spatially separated matter-based qubits. In this way, the key strengths of different physical qubit implementations are brought together, laying the foundation for practical solid-state quantum technologies.
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