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- W2070905379 abstract "It is shown that anisotropic spin chains with gapped bulk excitations and magnetically ordered ground states offer a promising platform for quantum computation, which bridges the conventional single-spin-based qubit concept with recently developed topological Majorana-based proposals. We show how to realize the single-qubit Hadamard, phase, and $ensuremath{pi}/8$ gates as well as the two-qubit controlled-not (cnot) gate, which together form a fault-tolerant universal set of quantum gates. The gates are implemented by judiciously controlling Ising exchange and magnetic fields along a network of spin chains, with each individual qubit furnished by a spin-chain segment. A subset of single-qubit operations is geometric in nature, relying on control of anisotropy of spin interactions rather than their strength. We contrast topological aspects of the anisotropic spin-chain networks to those of $p$-wave superconducting wires discussed in the literature." @default.
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- W2070905379 date "2011-09-21" @default.
- W2070905379 modified "2023-09-24" @default.
- W2070905379 title "Universal quantum computation with ordered spin-chain networks" @default.
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- W2070905379 doi "https://doi.org/10.1103/physreva.84.032333" @default.
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