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von Neumann entropy
English
Etymology
Named after
John von Neumann
.
Pronunciation
IPA
(key)
:
/vɔn ˈnoɪ.mən ˈɛn.tɹə.pi/
Noun
von Neumann
entropy
(
quantum mechanics
)
The
entropy
of a
quantum state
. If the state is expressed as a quantum
density matrix
ρ
{\displaystyle \rho }
, then this entropy can be expressed mathematically as
S
=
−
tr
(
ρ
log
ρ
)
{\displaystyle S=-{\text{tr}}(\rho \log \rho )}
where
tr
{\displaystyle {\text{tr}}}
is the
trace
operator and the
logarithm
is
natural
.
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