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Old 10-08-17, 11:18 PM   #293
yung23
made Damon Lindelof say "Fermions" on TV :P
Hears the Whispers
 
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Join Date: Nov 2005
Location: trapped in an inner product space containing a lattice
Posts: 12,037
Re: What are your thoughts ? REAL WORLD MIND READING

Now most would argue several things :
It is not possible to measure both position and momentum
And even if it were possible, the no-cloning theorem prevents copying the quantum.state...

HOWEVER..

wavefunctions have been measured using weak and strong measurements
WHICH BOTH INVOLVE ANCILLAS

Plus, double slit interferometry might make measuring two conjugates possible
https://en.wikipedia.org/wiki/Complementarity_(physics)
Quote:
The type of measurement determines which property is shown. However the single and double-slit experiment and other experiments show that some effects of wave and particle can be measured in one measurement.
Hence Mach-Zehnder interferometry, which also involves ANCILLAS

Quote:
When for example measuring a photon using a Mach-Zehnder interferometer, the photon acts as a wave if the second beam-splitter is inserted, but as a particle if this beam-splitter is omitted. The decision of whether or not to insert this beam-splitter can be made after the photon has entered the interferometer, as in Wheeler’s famous delayed-choice thought experiment. In recent quantum versions of this experiment, this decision is controlled by a quantum ancilla, while the beam splitter is itself still a classical object.
and the no-cloning theorem is about pure states..
But an ensemble of particles in a neuron would make it a mixed state..

The no-cloning theorem is normally stated and proven for pure states; the no-broadcast theorem generalizes this result to mixed states.


So even though CLASSICAL error correction cannot be used...

QUANTUM ERROR CORRECTION can be..

And ANCILLAS are used in QECC!

AND.. no cloning might be circumventable via orthogonality, meaning exact copies might not be possible, but 90 degree rotations of copies ARE.

And thats why PHASE works for quantum metrology and its ability to harness non classical states

Apparently, worrying about measuring both position and momentum works differently for particles than it does waves.


It may actually be possible using phase.

Quote:
Niels Bohr apparently conceived of the principle of complementarity during a skiing vacation in Norway in February and March 1927, during which he received a letter from Werner Heisenberg regarding the latter's newly discovered (and not yet published) uncertainty principle. Upon returning from his vacation, by which time Heisenberg had already submitted his paper on the uncertainty principle for publication, he convinced Heisenberg that the uncertainty principle was a manifestation of the deeper concept of complementarity.[6] Heisenberg duly appended a note to this effect to his paper on the uncertainty principle, before its publication, stating:
Quote:
Bohr has brought to my attention [that] the uncertainty in our observation does not arise exclusively from the occurrence of discontinuities, but is tied directly to the demand that we ascribe equal validity to the quite different experiments which show up in the [particulate] theory on one hand, and in the wave theory on the other hand.
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Last edited by yung23; 10-09-17 at 02:07 PM.
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