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Results tagged with fa.functional-analysis
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user 49887
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
1
answer
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tensor stability of block-positive matrices
Let $X_{AB}$ be an operator acting on the tensor-product Hilbert space $\mathcal{H}_A \otimes \mathcal{H}_B$. Suppose that $X_{AB}$ is block positive, meaning that (in Dirac notation)
$\langle \psi | …
- 18.7k
2
votes
tensor stability of block-positive matrices
The answer to this question is "no," there is a simple counterexample.
First, Fact 1: consider that a map $\mathcal{N}_{A\to B}$ is positive iff its Choi operator $J^{\mathcal{N}}_{AB}$ is block posi …
- 483