Universal quantum computer from a quantum magnet

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.052309· OSTI ID:21528588

Jianming, Cai; Briegel, Hans J ^[1]; Miyake, Akimasa ^[2]; Duer, Wolfgang ^[3]

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1. Institut fuer Quantenoptik und Quanteninformation der Oesterreichischen Akademie der Wissenschaften, Innsbruck (Austria)
2. Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5 (Canada)
3. Institut fuer Theoretische Physik, Universitaet Innsbruck, Technikerstrasse 25, A-6020 Innsbruck (Austria)

We show that a local Hamiltonian of spin-(3/2) particles with only two-body nearest-neighbor Affleck-Kennedy-Lieb-Tasaki and exchange-type interactions has a unique ground state, which can be used to implement universal quantum computation merely with single-spin measurements. We prove that the Hamiltonian is gapped, independent of the system size. Our result provides a further step toward utilizing systems with condensed-matter-type interactions for measurement-based quantum computation.

• OSTI ID: 21528588
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
COMPUTERS
EQUIPMENT
EXCHANGE INTERACTIONS
HAMILTONIANS
INTERACTIONS
MAGNETS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM COMPUTERS
QUANTUM OPERATORS
SPIN
TWO-BODY PROBLEM