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Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation
- Source :
- Physical Review B. 69
- Publication Year :
- 2004
- Publisher :
- American Physical Society (APS), 2004.
-
Abstract
- We discuss real-space lattice models equivalent to gauge theories with a discrete non-Abelian gauge group. We construct the Hamiltonian formalism which is appropriate for their solid-state physics implementation and outline their basic properties. The unusual physics of these systems is due to local constraints on the degrees of freedom which are variables localized on the links of the lattice. We discuss two types of constraints that become equivalent after a duality transformation for Abelian theories but are qualitatively different for non-Abelian ones. We emphasize highly nontrivial topological properties of the excitations (fluxons and charges) in these non-Abelian discrete lattice gauge theories. We show that an implementation of these models may provide one with the realization of an ideal quantum computer, that is, the computer that is protected from the noise and allows a full set of precise manipulations required for quantum computations. We suggest a few designs of the Josephson-junction arrays that provide the experimental implementations of these models and discuss the physical restrictions on the parameters of their junctions.
- Subjects :
- Physics
Lattice field theory
Condensed Matter Physics
01 natural sciences
010305 fluids & plasmas
Electronic, Optical and Magnetic Materials
Theoretical physics
Hamiltonian lattice gauge theory
Gauge group
Lattice gauge theory
Quantum mechanics
0103 physical sciences
Gauge theory
010306 general physics
Quantum
Lattice model (physics)
Quantum computer
Subjects
Details
- ISSN :
- 1550235X and 10980121
- Volume :
- 69
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi...........f0b264f4c13585b474ee89e9453efd88