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Phys. Rev. A 80, 042309 (2009) [7 pages]

Quantum circuit for three-qubit random states

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Olivier Giraud1,2, Marko Žnidarič3, and Bertrand Georgeot1,2
1Université de Toulouse; UPS; Laboratoire de Physique Théorique (IRSAMC); F-31062 Toulouse, France
2CNRS; LPT (IRSAMC); F-31062 Toulouse, France
3Department of Physics, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia

Received 24 March 2009; published 15 October 2009

We explicitly construct a quantum circuit, which exactly generates random three-qubit states. The optimal circuit consists of three CNOT gates and fifteen single-qubit elementary rotations, parametrized by fourteen independent angles. The explicit distribution of these angles is derived, showing that the joint distribution is a product of independent distributions of individual angles apart from four angles.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.042309
DOI:
10.1103/PhysRevA.80.042309
PACS:
03.67.Ac, 03.67.Bg