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Variational characterization of quantum conditional entropy
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Physics
Branch of physics
Quantum theory
Density operator
Von Neumann entropy
Quantum relative entropy
Created
2026-09-24
Updated
2026-09-24
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The
quantum conditional entropy
has the relative-
entropy
representation
−
H
(
A
∣
B
)
ρ
=
min
ξ
B
D
(
ρ
A
B
∥
I
A
⊗
ξ
B
)
,
(1)
where the minimum ranges over
density operators
on
B
.
Ancestors
(7)
Quantum relative entropy
Von Neumann entropy
Density operator
Quantum theory
Branch of physics
Physics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 323
/
4
/
c
/
iii
/
Solution
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