Constructive quantum Shannon decomposition from Cartan involutions.

Drury, Byron.

Love, Peter J.


  • The work presented here extends upon the best known universal quantum circuit, the quantum Shannon decomposition proposed by Shende et al (2006 IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst. 25 1000) We obtain the basis of the circuit's design in a pair of Cartan decompositions. This insight gives a simple constructive factoring algorithm in terms of the Cartan involutions corresponding to ... read more
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  • Drury, Byron, and Peter Love. "Constructive Quantum Shannon Decomposition from Cartan Involutions." Journal of Physics A: Mathematical and Theoretical 41, no. 39 (September 4, 2008): 395305. doi:10.1088/1751-8113/41/39/395305.
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