user avatar
user avatar
user avatar
user1936752
  • Member for 3 years, 10 months
  • Last seen this week
1 vote
1 answer
53 views

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

5 votes
2 answers
105 views

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

  • 51
10 votes
4 answers
656 views

How is quantum teleportation generalized to qudits?

  • 3,212
18 votes
2 answers
453 views

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

  • 2,107
7 votes
0 answers
107 views

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

  • 395
1 vote
1 answer
34 views

How to take the limits of the sandwiched Renyi divergences?

  • 11
13 votes
1 answer
419 views

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

  • 133
2 votes
1 answer
70 views

How is a classical bipartite state written in quantum notation?

6 votes
2 answers
68 views

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

  • 63
2 votes
2 answers
293 views

How to prove generalized Uhlmann's theorem?

3 votes
0 answers
40 views

Permutation invariant states have permutation invariant purifications - proof?

  • 395
5 votes
1 answer
123 views

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

  • 51
7 votes
1 answer
134 views

Positive semidefinite relationship after partial trace

  • 395
6 votes
2 answers
2k views

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

3 votes
2 answers
120 views

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

  • 395
5 votes
1 answer
58 views

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

  • 53
3 votes
2 answers
1k views

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

8 votes
1 answer
1k views

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

4 votes
1 answer
29 views

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 $\Pi_A$?

  • 43
4 votes
1 answer
294 views

Eigenvalues of a quantum state after partial tracing

  • 41
5 votes
2 answers
142 views

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