Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.85.032112
Title: Topological phases and multiqubit entanglement
Authors: Johansson, M.
Ericsson, M.
Singh, K. 
Sjöqvist, E. 
Williamson, M.S. 
Issue Date: 12-Mar-2012
Source: Johansson, M., Ericsson, M., Singh, K., Sjöqvist, E., Williamson, M.S. (2012-03-12). Topological phases and multiqubit entanglement. Physical Review A - Atomic, Molecular, and Optical Physics 85 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.85.032112
Abstract: Global phase factors of topological origin, resulting from cyclic local SU evolution, called topological phases, were first described in, in the case of entangled qubit pairs. In this paper we investigate topological phases in multiqubit systems as the result of cyclic local SU(2) evolution. These phases originate from the topological structure of the local SU(2) orbits and are an attribute of most entangled multiqubit systems. We discuss the relation between topological phases and stochastic local operations and classical communication (SLOCC)-invariant polynomials and give examples where topological phases appear. A general method to find the values of the topological phases in an n-qubit system is described and a complete list of these phases for up to seven qubits is given. © 2012 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/53236
ISSN: 10502947
DOI: 10.1103/PhysRevA.85.032112
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