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Int J Theor Phys (2008) 47: 200211 DOI 10.1007/s10773-007-9507-y

Summary: Int J Theor Phys (2008) 47: 200211
DOI 10.1007/s10773-007-9507-y
A Macroscopic Device for Quantum Computation
Diederik Aerts Ellie D'Hondt Bart D'Hooghe
Marek Czachor Jeroen Dehaene Bart De Moor
Received: 30 November 2006 / Accepted: 23 July 2007 / Published online: 24 August 2007
Springer Science+Business Media, LLC 2007
Abstract We show how a compound system of two entangled qubits in a non-product state
can be described in a complete way by extracting entanglement into an internal constraint
between the two qubits. By making use of a sphere model representation for the spin 1/2, we
derive a geometric model for entanglement. We illustrate our approach on 2-qubit algorithms
proposed by Deutsch, respectively Arvind. One of the advantages of the 2-qubit case is that
it allows for a nice geometrical representation of entanglement, which contributes to a more
intuitive grasp of what is going on in a 2-qubit quantum computation.
Keywords Quantum computation Entanglement Macroscopic quantum models
D. Aerts E. D'Hondt B. D'Hooghe ( )
Leo Apostel Centre for Interdisciplinary Studies (CLEA) and Foundations of the Exact Sciences
(FUND), Department of Mathematics, Vrije Universiteit Brussel, 1160 Brussels, Belgium
e-mail: bdhooghe@vub.ac.be
D. Aerts


Source: Aerts, Diederik - Leo Apostel Centre, Vrije Universiteit Brussel


Collections: Multidisciplinary Databases and Resources; Physics