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Quantum entanglement is the mechanism by which quantum correlations between two sub-systems survive even after being physically separated from an interaction region. The correlations could in principle survive without neither time nor space constraint.

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Why we use local operations and classical communication (LOCC) to quantify entanglement?

What is charming about LOCC operations is that they have operational significance. The form the broadest class of operations where communication parties act locally on their systems and are moreover a …
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Different definitions of conditional quantum entropy

The contradiction comes from the statement $$-D(\rho_{AB}||I \otimes \sigma_B) \leq 0$$ which is wrong. Using the general identity $\log(X \otimes Y) = I \otimes \log Y + \log X \otimes I$, we can …
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Schmidt decomposition where is the number of dimension $n_A < n_B$ encoded in the proof?

The condition $n_A < n_B$ can be relaxed to $n_A \leq n_B$ here without causing problems. By the way, you can gain flexibility in your statement if you talk about "orthonormal systems" on the spaces r …
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