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Uhlmann's theorem
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Physics
Branches of physics
Quantum theory
Density matrix
Purification of a density operator
2026-09-28
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Uhlmann'
s
theorem
states that the fidelity of two
density operators
is the maximum absolute overlap between their purifications on
a
common
reference
space
.
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(6)
Purification of a density operator
Density matrix
Quantum theory
Branches of physics
Physics
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Fidelity of quantum states
Joint concavity of quantum fidelity
Monotonicity of quantum fidelity under partial trace
Past exam of the mathematics course of the University of Cambridge
/
2010
/
iii
/
Paper 48
/
3
/
a
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 65
/
1
/
iv
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
iii
/
Paper 60
/
1
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
iii
/
Paper 60
/
1
/
iv
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 323
/
2
/
b
/
ii
/
Solution
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