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Can we combine the square roots inside the definition of the fidelity?

What are min and max overlaps of a maximally entangled state with a separable state?

How is quantum teleportation generalized to qudits?

How does the vectorization map relate to the Choi and Kraus representations of a channel?

Positive semidefinite relationship after partial trace

How large can we make the fidelity between mixed states by allowing unitaries?

Partial trace over a product of matrices - one factor is in tensor product form

If $\rho,\sigma$ are classical-quantum states, can the fidelity $F(\rho,\sigma)$ be expressed in terms of $F(\rho_i,\sigma_i)$?

If $\text{supp}(\rho_{AB})\subset \text{supp}(\sigma_{AB})$, is $\text{supp}(\rho_{A})\subset \text{supp}(\sigma_{A})$?

Is the quantum min-relative entropy $D_{\min}(\rho\|\sigma)=-\log(F(\rho, \sigma)^2)$ or $D_{\min}(\rho\|\sigma)=-\log(tr(\Pi_\rho\sigma))$?

Can every bipartite state be written as $\rho_{AB} = \sum_{ij} c_{ij}\sigma_A^i\otimes \omega_B^j$?

Prove that $\rho_{AB} \leq |B|(\rho_A\otimes I_B)$ for any bipartite state $\rho_{AB}$

Eigenvalues of a quantum state after partial tracing

Does $\frac{\Pi_A\otimes I_B}{\text{Tr}((\Pi_A\otimes I_B)\rho_{AB})}\rho_{AB}=\rho_{AB}$ hold for a state $\rho_{AB}$ and projector $\Pi_A$?

What is the "complementary map" of a channel with given Kraus decomposition?

Permutation invariant states have permutation invariant purifications - proof?

Can we express $\mathrm{tr}_A((A\otimes B)\rho_{AB})$ in terms of $A$, $B$, $\rho_A$ and $\rho_B$?

How is a classical bipartite state written in quantum notation?

How to prove generalized Uhlmann's theorem?

How to take the limits of the sandwiched Renyi divergences?

Can one define a Choi state for a a classical channel?