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Multiple choice
In the resource theory of stabilizer computation, what is the defining faithfulness property of a magic monotone
M
(
ρ
)
M(\rho)
M
(
ρ
)
?
M
(
ρ
)
=
1
M(\rho) = 1
M
(
ρ
)
=
1
for all states, both stabilizer and magic
M
(
ρ
)
=
0
M(\rho) = 0
M
(
ρ
)
=
0
if and only if
ρ
\rho
ρ
is a pure magic state
M
(
ρ
)
M(\rho)
M
(
ρ
)
increases under every stabilizer (free) operation
M
(
ρ
)
=
0
M(\rho) = 0
M
(
ρ
)
=
0
if and only if
ρ
\rho
ρ
is a stabilizer (mixed) state, i.e.
ρ
\rho
ρ
is in STAB
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