Session W26: Quantum Control and Resources for Quantum Computing
11:15 AM–2:15 PM, Thursday, March 18, 2010
Room: D136
Sponsoring Unit:
GQI
Chair: Frank Wilhelm, University of Waterloo
Abstract ID: BAPS.2010.MAR.W26.11
Abstract: W26.00011 : Path integral representation of a two qubit system
1:15 PM–1:27 PM
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Abstract 
Authors:
Justin Wilson
(University of Maryland)
Victor Galitski
(University of Maryland)
In the path integral representation of a one qubit system, extra degrees of freedom are needed to pass from the Hamiltonian formulation to the path integral (Lagrangian) formulation. This leads to a topological term in the Lagrangian much like a Wess-Zumino term. Such a term is topological and is related to the Hopf fibration of $S^3$ by $S^1$ over $S^2$ (and indeed this term appears even when the Hamiltonian is zero). There is an analogous Hopf fibration for the two qubit state from $S^7$ by $S^3$ over $S^4$. We explore how this is related to the topological term in the path integral formulation for two qubit systems.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2010.MAR.W26.11