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This pedagogical review presents the proof of the Solovay-Kitaev theorem in the form of an efficient classical algorithm for compiling an arbitrary single-qubit gate into a sequence of gates from a fixed and finite set. The algorithm can be used, for example, to compile Shor's algorithm, which uses rotations of π/2 k , into an efficient fault-tolerant form(More)
— We show the equivalence of two different notions of quantum channel capacity: that which uses the en-tanglement fidelity as its criterion for success in transmission , and that which uses the minimum fidelity of pure states in a subspace of the input Hilbert space as its criterion. As a corollary, any source with entropy less than the capacity may be(More)
This article is a short introduction to and review of the cluster-state model of quantum computation, in which coherent quantum information processing is accomplished via a sequence of single-qubit measurements applied to a fixed quantum state known as a cluster state. We also discuss a few novel properties of the model, including a proof that the cluster(More)
This Letter presents a simple formula for the average fidelity between a unitary quantum gate and a general quantum operation on a qudit, generalizing the formula for qubits found by Bowdrey et al. [Phys. Lett. A 294 (2002) 258]. This formula may be useful for experimental determination of average gate fidelity. We also give a simplified proof of a formula(More)
Locomotor activity recorded in an automated open-field apparatus was increased substantially by unilateral injections of carbachol, a cholinergic agonist, into the dentate gyrus of the hippocampus. Hyperactivity elicited in this way was reduced significantly when glutamate antagonists were injected into the ipsilateral nucleus accumbens. Injecting(More)
Neural projections from nucleus accumbens to subpallidal region, which contains a major GABAergic component, have been demonstrated with anatomical and electrophysiological techniques. The possible contribution of this GABA projection to the initiation of locomotor activity was investigated using neuropharmacological techniques. Injecting picrotoxin, a GABA(More)
1 History of quantum computation and quantum. 2 Prospects for practical quantum information processing. Quantum Computation and Quantum Information Michael A. 2 Prospects for practical quantum information processing. In this first comprehensive introduction to the main ideas and techniques of quantum computation and information, Michael Nielsen and Isaac(More)