Published August 2009
| Version v1
Journal article
Berry phase and entanglement of three qubits in a new Yang-Baxter system
Creators
- 1. Department of Physics, Northeast Normal University, Changchun, Jilin 130024 (China)
- 2. Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 (Singapore)
- 3. Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore)
Description
In this paper we construct a new 8x8M matrix from the 4x4M matrix, where M/M is the image of the braid group representation. The 8x8M matrix and the 4x4M matrix both satisfy extraspecial 2-group algebra relations. By Yang-Baxteration approach, we derive a unitary R(θ,φ) matrix from the M matrix with parameters φ and θ. Three-qubit entangled states can be generated by using the R(θ,φ) matrix. A Hamiltonian for three qubits is constructed from the unitary R(θ,φ) matrix. We then study the entanglement and Berry phase of the Yang-Baxter system.
Additional details
Identifiers
- DOI
- 10.1063/1.3177295;
- arXiv
- arXiv:0904.3621v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 50
- Journal Issue
- 8
- Journal Page Range
- p. 083509-083509.8
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41040337
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; GROUP THEORY; HAMILTONIANS; MATRICES; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUBITS
- Descriptors DEC
- COMPUTERS; INFORMATION; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; QUANTUM INFORMATION; QUANTUM OPERATORS
Optional Information
- Notes
- (c) 2009 The American Physical Society