A constructive algorithm for the Cartan decomposition of SU(2^N)

Details A constructive algorithm for the Cartan decomposition of SU(2^N) A constructive algorithm for the Cartan decomposition of SU(2^N)

2005-05-17

arxiv.org/abs/quant-ph/0505128v2

Jour. Math. Phys. 46, 1 (2005)

Physics

Quantum Physics

15 pages, no figures, matlab file at http://cam.qubit.org/users/jiannis/

Scientific paper

10.1063/1.2008210

We present an explicit numerical method to obtain the Cartan-Khaneja-Glaser decomposition of a general element G of SU(2^N) in terms of its `Cartan' and `non-Cartan' components. This effectively factors G in terms of group elements that belong in SU(2^n) with n

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