Symmetry constraints on temporal order in measurement-based quantum computation
نویسندگان
چکیده
منابع مشابه
Symmetry protection of measurement-based quantum computation in ground states
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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Ground states of spin lattices can serve as a resource for measurement-based quantum computation. Ideally, the ability to perform quantum gates via measurements on such states would be insensitive to small variations in the Hamiltonian. Here, we describe a class of symmetry-protected topological orders in one-dimensional systems, any one of which ensures the perfect operation of the identity ga...
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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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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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ژورنال
عنوان ژورنال: Information and Computation
سال: 2016
ISSN: 0890-5401
DOI: 10.1016/j.ic.2016.02.010