Measurement-based quantum computation on cluster states
نویسندگان
چکیده
منابع مشابه
Measurement-based quantum computation on cluster states
We give a detailed account of the one-way quantum computer, a scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster states. We prove its universality, describe why its underlying computational model is different from the network model of quantum computation and relate quantum algorithms to mathematical graphs. Furth...
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We propose an approach to optical quantum computation in which a deterministic entangling quantum gate may be performed using, on average, a few hundred coherently interacting optical elements (beam splitters, phase shifters, single photon sources, and photodetectors with feedforward). This scheme combines ideas from the optical quantum computing proposal of Knill, Laflamme, and Milburn [Nature...
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The one-way quantum computing model introduced by Raussendorf and Briegel fPhys. Rev. Lett. 86, 5188 s2001dg shows that it is possible to quantum compute using only a fixed entangled resource known as a cluster state, and adaptive single-qubit measurements. This model is the basis for several practical proposals for quantum computation, including a promising proposal for optical quantum computa...
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References: A. M. Childs, D. W. Leung and M. A. Nielsen, “Unified deprivations of measurement-based schemes for quantum computation,” Phys. Rev. A 71 (2005) 032318; arXiv:quant-ph/0404132. D. E. Browne and H. J. Briegel, “One-way Quantum Computation,” arXiv:quant-ph/0603226 M. A. Nielsen, “Cluster-state quantum computation,” Reports on Mathematical Physics 57 (2006) 141; arXiv:quant-ph/0504097v...
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The two-dimensional cluster state, a universal resource for measurement-based quantum computation, is also the gapped ground state of a short-ranged Hamiltonian. Here, we examine the effect of perturbations to this Hamiltonian. We prove that, provided the perturbation is sufficiently small and respects a certain symmetry, the perturbed ground state remains a universal resource. We do this by ch...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2003
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.68.022312