5 problems
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The PPT-squared conjecture for entanglement-breaking quantum channels
Let denote the matrix algebra in the paper. A linear map is PPT if it is completely positive and completely copositive, meaning that both…
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Conjecture on eventual entanglement breaking for non-commuting generators
The paper considers quantum evolution families governed by GKLS generators and notes that, in the commuting case and for quantum dynamical semigroups with a unique strictly positiv…
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Entanglement-breaking volume-ratio conjecture for time-local generalized Pauli channels
Entanglement-breaking volume-ratio conjecture. The volume ratio is
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Unitary-filtering optimality conjecture for qubit channels
Let , so the system is a qubit. Let be a qubit channel, where denotes the set of linear, completely positive, trace-preserving maps on…
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The structural physical approximation conjecture for optimal positive maps
A positive map is a linear positive map between matrix algebras, and its structural physical approximation is the completely positive map obtained by adding the minimal completely…