FTL Triad Quantum Communication Method

A method of communication is proposed here that uses the instantaneous
teleportation of quantum state of entangled photons to communicate a signal
faster than light speed.  The method depends on the fact that when the
polarization state of one member of an entangled pair of photons is
determined, i.e. measured, the conjugate photon will then be measured in
the conjugate state.  Further, the method requires the use of Bell's
inequality as he applied it to observations in 3 axes of spin, but modified
here in application to examine polarization in three independent photon
channels instead.

The method consists of the following:

A.  Three communication bundles are utilized by a sender (Alice) which she
can use to can reliably send to a receiver (Bob) one photon through each
bundle in each time slice.  Alice thus sends a triad of photons in each
time slice.  If more than one photon is sent in a given bundle in a given
time slice we can assume here that the additional photons are simply
ignored.  Each communication bundle consist of a local and communication
channel which utilize the following steps:

1. An entangled photon generator creates two channels of unpolarized yet
entangled photons: the local channel and the communication channel. The
photons in the communication channel are conjugates of their entangled
counterparts in the local channel. The polarization direction of conjugate
pairs, once eventually determined, is always mutually orthogonal.

2. A delay is provided in the local channel by use of a fiber delay loop or
other delaying mechanism such that a communication signal is only imposed
upon the local channel photons by Alice at about the time of but either
slightly before or slightly after receipt of the paired communication
channel photons by Bob at the destination.  The local channel is assumed to
be located entirely at the transmitting site, in close proximity to Alice.
Alternatively the entangled photon generator can be located at the half-way
point between sender and receiver, Alice and Bob, and beam one channel to
each.  Alice then must be located so as to be able to chose to receive
local channel photons either before or after Bob receives the corresponding
communication channel photons.

3. Photons in the local channel, after sufficient delay, are routed by
Alice through one of two paths, the long path or the short path.  This
switching can be achieved using a fast electromechanical mirror or other
means.  In the short path the photons are routed through a horizontal
filter H1 and then a vertical filter V1 at a time *before* the
corresponding entangled photon is received by Bob.  In the long path the
photons are routed through a horizontal filter H2 and then a vertical
filter V2 at a time *after* the corresponding entangled photon is received
by Bob.

4. Photons in the communication channel are passed through a vertical
polarized filter V3 at Bob's location and the remaining signal detected.
(Alternatively a horizontal filter could be used by Bob or Bob can separate
the communication channel beam into horizontal and vertically polarized
components using a calcite crystal and measure the comparative brightness
of the two.)

5. The timing of switching between the long and short paths of the local
channel is manipulated by Alice so as to send meaningful messages to Bob.

B.  The use of three communication bundles by Alice to send a triad of
photons in each time slice is analogous to Alain Apsect's famous experiment
using the three axes of spin. Each time slice plus a horizontal or vertical
polarization detection is equivalent to a spin orientation detection in one
of three axes of spin.  There are various ways to achieve this analogous
three channel triad approach so as to invoke Bell's inequality.  The
important concept is that three independent photons are sent (roughly)
simultaneously, as a triad, through the three bundles available to Alice in
each time slice.

In the short path every local path photon is in effect measured by Alice as
being either horizontally or vertically polarized, and with a 0.5
probability of being either.  Half the photons are absorbed by H1 and thus
measured as horizontal, and the remaining half are absorbed by V1 and thus
measured as vertical.  In a given bundle, Bob should detect 50/50
polarization on his end when Alice is directing the local photons through
the short path.

In the long path every local path photon is in effect measured by Alice as
being either horizontally or vertically polarized, and with a 0.5
probability of being either, but the direction is actually set by Bob
measuring on his end.  In effect Bob is the sender when Alice directs her
triads down the long path. Still, half the photons are absorbed by H2 and
thus measured as horizontal, and the remaining half are absorbed by V2 and
thus measured as vertical.  In a given bundle, Bob should still detect
50/50 polarization on his end when Alice is directing the local photons
through the long path.

It would seem there is no means of communicating a message from Alice to
Bob.  However, using Bell's inequality, it is the main point here that it
appears there is.

Assume Alice always switches all the three bundles to either a long or
short path simultaneously.  If Alice switches to the long path, then Bob
must receive exactly a 50/50 vertical and horizontal mix, no matter what
bundle he samples.  Similarly, suppose Bob chooses at random a bundle to
measure the polarization of a photon from a time slice, and then chooses at
random again, in the next time slice, any of the three bundles to measure
the photon polarization.  Bell shows that if there are no hidden variables,
Bob will have a 50/50 chance of a polarization match, and thus there is no
apparent way for a message to be sent.  Bob experiences no hidden
variables.  However, suppose Alice has sent her three bundles, her triad of
photons, down the short path.  Alice then sets the polarization orientation
of every pair, not Bob.  Bob merely detects the results of Alice's
operations.  Alice has in effect, by beating Bob to the act of measurement,
built in hidden variables.  She has programmed the triad.  Bob must then
detect a match more than 50 percent of the time.  In fact he should detect
a match about 2/3 of the time.  To detect a bit of information, Bob need
only sample long enough, enough time slices, to determine whether he is
sampling from a 1:1 distribution or a 1:2 distribution.  Since the time
slices can be orders of magnitude shorter in comparison to the transit time
from Alice to Bob at the speed of light, faster than light speed (FTL)
communication is possible with a high data reliability.  Alice and Bob
might agree to send 100 time slices per data bit, for example, and further
use well known error correction schemes in order to achieve very reliable
communications.

An experiment requiring the simplest possible message would involve sending
a data bit (actually only a change of state) via a one-way FTL
communication bundle set and returning it via a second one-way return FTL
communication bundle set, and repeating this process to establish an
oscillation.  To demonstrate FTL communication it is then necessary to
transmit over a sufficient distance D that the oscillation frequency, f, is
faster than the oscillation frequency F = c/D that can be achieved by
light.  A 10 km communication link (each way) need only cycle faster than
about 15 kHz to break the light speed barrier.

If the proposed communication method works, special and general relativity
presently may stand on shaky philosophical grounds.  It is of special
interest to relativists the conditions required to achieve the
communication,  namely that Alice must be able to receive local channel
photons both before and after Bob receives the corresponding conjugates.
Alice must be able to control the local channel delay, and this is not
necessarily possible in a useful way if Alice and Bob are in relative
motion.

Regards,

Horace Heffner          


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