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The online version of the original article can be found under doi:10.1007/s11128-006-0042-1.
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Long, G.L. Mathematical theory of the duality computer in the density matrix formalism. Quantum Inf Process 7, 137 (2008). https://doi.org/10.1007/s11128-008-0074-9
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DOI: https://doi.org/10.1007/s11128-008-0074-9