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Fayngold, Moses wrote:
Now, suppose we have a single photon whose polarization is
equally likely to be found in one of two distinct states,
namely, either along the x- or along the y-direction,
after we will have passed it through, say, a polarizing
beam-splitter.
That description is ambiguous.
Does this mean that before that the photon's entropy is
1 bit?
That depends on how we disambiguate the question. There are
two extreme cases:
a) Unpolarized light has density matrix
[ .5 0 ]
[ ]
[ 0 .5 ]
and has an entropy density of one bit per photon.
/snip /