Universal quantum computation with ordered spin-chain networks

Journal Article · Thu Sep 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.032333· OSTI ID:22068677

Tserkovnyak, Yaroslav ^[1]; Loss, Daniel ^[2]

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1. Department of Physics and Astronomy, University of California, Los Angeles, California 90095 (United States)
2. Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel (Switzerland)

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 {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.

• OSTI ID: 22068677
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANISOTROPY
CHAINS
EXCITATION
GEOMETRY
GROUND STATES
INTERACTIONS
MAGNETIC FIELDS
P WAVES
QUANTUM COMPUTERS
QUBITS
SPIN
SUPERCONDUCTING WIRES
TOPOLOGY