Irreducibly acting quantum graphs are Morita equivalent if and only if they are full pullbacks of a common quantum graph, with connectivity, independence number, Shannon capacity, and Lovász number invariant under this relation.
A dual formula for the spectral distance in noncommutative geometry
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Develops metrics on unital completely positive maps via noncommutative geometry seminorms and a C*-algebraic Choi-Jamiołkowski analogue that satisfy stability and chaining under suitable conditions.
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Morita equivalence for quantum graphs
Irreducibly acting quantum graphs are Morita equivalent if and only if they are full pullbacks of a common quantum graph, with connectivity, independence number, Shannon capacity, and Lovász number invariant under this relation.
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Metrics on completely positive maps via noncommutative geometry
Develops metrics on unital completely positive maps via noncommutative geometry seminorms and a C*-algebraic Choi-Jamiołkowski analogue that satisfy stability and chaining under suitable conditions.