Two fundamental contributions to categorical quantum mechanics are presented. First, we generalize the CP-construction, that turns any dagger compact category into one with completely positive maps, to arbitrary dimension. Second, we axiomatize when a given category is the result of this construction.
机构:
North West Univ, Dept Math, Res Focus Area Pure & Appl Analyt, ZA-2531 Potchefstroom, South Africa
DSI NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South AfricaNorth West Univ, Dept Math, Res Focus Area Pure & Appl Analyt, ZA-2531 Potchefstroom, South Africa
ter Horst, S.
van der Merwe, A.
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机构:
Univ Witwatersrand, Acad Dev Unit, Fac Engn & Built Environm, ZA-2000 Johannesburg, South Africa
DSI NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South AfricaNorth West Univ, Dept Math, Res Focus Area Pure & Appl Analyt, ZA-2531 Potchefstroom, South Africa