We analyze the structure of the subset of states generated by unital completely positive quantum maps. A witness certifying that a state does not belong to the subset generated by a given map is constructed. We analyse the representations of positive maps and their relation to quantum Perron-Frobenius theory.
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Univ Hong Kong, Dept Comp Sci, Pok Fu Lam Rd, Hong Kong, Peoples R China
Univ Oxford, Dept Comp Sci, Wolfson Bldg,Parks Rd, Oxford, EnglandUniv Hong Kong, Dept Comp Sci, Pok Fu Lam Rd, Hong Kong, Peoples R China
Chiribella, Giulio
Davidson, Kenneth R.
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Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, CanadaUniv Hong Kong, Dept Comp Sci, Pok Fu Lam Rd, Hong Kong, Peoples R China
Davidson, Kenneth R.
Paulsen, Vern I.
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Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, CanadaUniv Hong Kong, Dept Comp Sci, Pok Fu Lam Rd, Hong Kong, Peoples R China
Paulsen, Vern I.
Rahaman, Mizanur
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Univ Lyon, ENS Lyon, UCBL, CNRS,Inria,LIP, F-69342 Lyon 07, FranceUniv Hong Kong, Dept Comp Sci, Pok Fu Lam Rd, Hong Kong, Peoples R China