Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 19 октября 2015 г.
Аннотация:One
of
the assumptions
made
by
Bell
in deriving his inequalities
was
that
of
locality,
i.e.
that
two measuring
devices
cannot
affect
one another
when
they
are
far apart.
For
this
reason,
the
violations
of
these inequalities
observed
in
experiments
are
often
regarded
as
manifestations
of
the
nonlocality
of
quantum
theory
or
as a disproof
of
local realism.
In
this
paper
the
Bell
inequality
is proved
for
two observers in
its traditional form, but without
using
the
locality hypothesis,
starting
only
from
the
condition
that
the probability distribution
function
be
nonnegative.
This distribution function
is
calculated and
applied
to
a
specific
optical
experiment
within the framework
of
quantum theory, and it
is shown
that
it
can take on
negative
values.
This
rigorously proves
the
irrelevance
of
the
locality
assumptions
with
regard
to
violations
of
Bell's
theorem.
In
addition,
nonlocal
Bell's
theorems
are
formulated and
proved, along with
the
Greenberger-Horn-Zeilinger
paradox for an arbitrary number
of
observers
N,
again
without
using
the
assumption
of
locality.
The
physical meaning
of
these
results
is
analyzed in detail.