Quantum Families of Invertible Maps and Related Problems
نویسندگان
چکیده
منابع مشابه
A Geometric Characterization of Invertible Quantum Measurement Maps
A geometric characterization is given for invertible quantum measurement maps. Denote by S(H) the convex set of all states (i.e., trace-1 positive operators) on Hilbert space H with dimH ≤ ∞, and [ρ1, ρ2] the line segment joining two elements ρ1, ρ2 in S(H). It is shown that a bijective map φ : S(H) → S(H) satisfies φ([ρ1, ρ2]) ⊆ [φ(ρ1), φ(ρ2)] for any ρ1, ρ2 ∈ S if and only if φ has one of the...
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15 صفحه اولInvertible Families of Sets of Bounded Degree
Let H = (H; V) be a hypergraph with edge set H and vertex set V. Then H is invertible ii there exists a permutation of V such that for all E 2 H, (E) \ E = ;. H is invertibility critical if H is not invertible but every hypergraph obtained by removing an edge from H is invertible. The degree of H is d if fE 2 Hjx 2 Eg d for each x 2 V. Let i(d) be the maximum number of edges of an invertibility...
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2016
ISSN: 0008-414X,1496-4279
DOI: 10.4153/cjm-2015-037-9