Question

Compute a quantum state $\rho$ corresponding to an ensemble

score 57 · Answer 1 · 2026-03-26 09:38:44

57

Views

Compute a quantum state $\rho$ corresponding to an ensemble

Published on 26 Mar 2026 - 9:38

score 61 · Answer 2 · 2026-03-26 07:59:19

61

Views

Find an ensemble consisting of three distinct pure states that correspond to the same mixed state

Published on 26 Mar 2026 - 7:59

score 75 · Answer 3 · 2026-03-26 08:02:34

75

Views

Show that a state $\rho=\sum_i p_i|e_i\rangle\!\langle e_i|$ has purifications of the form $\sum_i s_i |e_i\rangle\otimes|f_i\rangle$

Published on 26 Mar 2026 - 8:02

score 50 · Answer 4 · 2026-03-26 14:24:52

50

Views

trouble with a change of basis

Published on 26 Mar 2026 - 14:24

score 60 · Answer 5 · 2026-03-26 14:21:20

60

Views

Prove that a change-of-basis map is an isometry between complex hilbert spaces, to prove uniqueness of purifications

Published on 26 Mar 2026 - 14:21

score 54 · Answer 6 · 2026-03-26 08:00:36

54

Views

If $ρ_{AB} ∈ D(H_A \otimes H_B)$ such that $ρ_{A}$ is pure. $\implies ρ_{AB} = ρ_{A} \otimes ρ_{B}$

Published on 26 Mar 2026 - 8:00

score 35 · Answer 7 · 2026-03-26 14:21:21

35

Views

Writing a positive semi-definite operator as a non-negative combination of rank-1 projectors with the same 'phase profile'

Published on 26 Mar 2026 - 14:21

score 26 · Answer 8 · 2026-03-26 09:39:55

26

Views

Noisy Quantum state exercise regarding trace of matrix.

Published on 26 Mar 2026 - 9:39

score 34 · Answer 9 · 2026-05-10 20:53:04

34

Views

If $\rho_{AB}$ is a separable then the partial transpose w.r.t to A is PSD

Published on 10 May 2026 - 20:53

score 34 · Answer 10 · 2026-03-26 08:00:30

34

Views

A proof of no-cloning theorem in the case of pures states in a qubit system

Published on 26 Mar 2026 - 8:00

score 28 · Answer 11 · 2026-03-26 14:25:00

28

Views

Different ways of defining Entanglement

Published on 26 Mar 2026 - 14:25

score 209 · Answer 12 · 2026-04-11 18:05:17

209

Views

Range is product then so must the operator

Published on 11 Apr 2026 - 18:05

score 39 · Answer 13 · 2026-03-26 14:19:19

39

Views

Sum of entangled operators is entangled

Published on 26 Mar 2026 - 14:19

score 46 · Answer 14 · 2026-03-26 14:16:07

46

Views

Isometric maps between spaces with different dimensions

Published on 26 Mar 2026 - 14:16

score 65 · Answer 15 · 2026-03-26 14:21:15

65

Views

Prove that the maximum number of MUBs is less than or equal to $n+1$

Published on 26 Mar 2026 - 14:21

List Question

Compute a quantum state $\rho$ corresponding to an ensemble

Find an ensemble consisting of three distinct pure states that correspond to the same mixed state

Show that a state $\rho=\sum_i p_i|e_i\rangle\!\langle e_i|$ has purifications of the form $\sum_i s_i |e_i\rangle\otimes|f_i\rangle$

trouble with a change of basis

Prove that a change-of-basis map is an isometry between complex hilbert spaces, to prove uniqueness of purifications

If $ρ_{AB} ∈ D(H_A \otimes H_B)$ such that $ρ_{A}$ is pure. $\implies ρ_{AB} = ρ_{A} \otimes ρ_{B}$

Writing a positive semi-definite operator as a non-negative combination of rank-1 projectors with the same 'phase profile'

Noisy Quantum state exercise regarding trace of matrix.

If $\rho_{AB}$ is a separable then the partial transpose w.r.t to A is PSD

A proof of no-cloning theorem in the case of pures states in a qubit system

Different ways of defining Entanglement

Range is product then so must the operator

Sum of entangled operators is entangled

Isometric maps between spaces with different dimensions

Prove that the maximum number of MUBs is less than or equal to $n+1$

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