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Testing quantum entanglement in protein
Testing for/falsifying quantum entanglement in protein
Persistent
dynamic entanglement from classical motion: How bio-molecular machines can
generate non-trivial quantum states
Guerreschi, G., Cai, J., Popescu, S.
& Briegel, H., Universities of Innsbruck, Ulm and Bristol
arXiv:
1111.2126v1 [quant-ph] 9 Nov 2011
http://arxiv.org/
INTRODUCTION:
The authors' model studies the cyclic regeneration of quantum entanglement in
hot systems. This looks to open the road to modelling or even experimental
simulation that would constitute a possible test for/falsification of
non-trivial quantum states in proteins such as those found in neurons.
The
paper refers to a simple mechanism by which a molecule forced out of thermal
equilibrium by oscillations, can sustain quantum entanglement. This type of
entanglement can survive intense noise, but cannot survive if the oscillation
ceases. This is argued to be the basis for non-trivial quantum entanglement in
biological matter.
The authors remark that this reverses the previous
orthodoxy, which held that quantum effects could not exist in biological
systems because of the amount of noise in these systems. They note that
research in photosynthetic organisms have undermined this case in recent years.
The existence of entanglement in a system is seen as greatly increasing
information processing capacity, and this underlies the potential of quantum
computing. It is pointed out that the previous orthodoxy was based on the
assumption of thermal equilibrium, whereas biological systems are open and
driven systems far from thermal equilibrium. Such systems are suggested to be
capable of quantum error correction that could sustain longer-lived quantum
entanglement in biological systems.
In a 2010 paper in Phys Rev E (1.) the
authors presented a mechanism by which a molecule subjected to non-thermal
equilibrium oscillations could sustain entanglement between two states. This
could be maintained despite a level of environmental noise that would not allow
entanglement to persist in the absence of non-equilibrium oscillations. Protein
molecules, which undergo conformational changes are suggested as the sort of
environment in which quantum entanglement of the type found in this model could
arise.
In the first section of their paper, the authors look at the
possibility of entanglement generated by molecular motion. A biomolecule
undergoing conformational change can lead to an interaction between different
sites of the molecule. The conformational changes of the molecule can force
localised spins to come close or move apart. With the molecular configuration
oscillating in a periodic way, cyclic regeneration of entanglement can be
sustained over long periods of time, despite noise that would make static entanglement
impossible. With thermal equilibrium, entanglement becomes impossible above a
certain temperature. The authors, however, ask what happens when molecular
motion is involved, and seek to demonstrate that entanglement can keep
recurring in an oscillating molecule despite a hot environment.
The authors
consider a simple process, with spins that are far apart and with an
interaction that is weaker than the surrounding field. In this state, there
will be no entanglement. When the spins approach one another entanglement can
appear transiently on time scales shorter than that required for thermalisation.
The molecule is seen as being kicked out of thermal equilibrium. The generation
of entanglement depends on the rate of thermalisation not being too fast. The
sustained recurrence of entanglement requires a persistent supply of free
energy that can be produced by the conformational changes of the protein. In
the author's model the background field predominates when the spins of the
particles are widely separated, but when they are close together their
interaction predominates. The authors assume that two spins start far apart and
are in a state of thermal equilibrium. The spins oscillate, move closer
together, are driven out of thermal equilibrium, and entanglement is generated.
Environmental noise here drives a persistent and cyclic generation of new
entanglement. The periodic oscillations are seen to keep molecules far away
from thermal equilibrium, with the continuous change in the shape of the
molecule preventing thermalisation.
The authors emphasise the constructive
role played by thermalisation. In a hot thermal bath the first oscillation of
the molecule is lost more quickly than in a cooler environment. However, the
pumping of energy is seen to provide a reset mechanism. In discussing
biological systems, the authors consider that chemical interactions would serve
to keep the system out of equilibrium. But in gaps between chemical activity,
equilibrium could return, and entanglement would therefore be transient.
In
summary, the authors say that they have demonstrated that entanglement can
recur even in a hot noisy environment. In biological systems this can be
related to changes in the conformation of macromolecules. The authors say that
this modelling is a route by which to search for the signatures of entanglement
in biomolecular systems. They also think that existing technology could provide
an experimental simulation of their model. This could possibly amount to a test
for/falsification of the hypothesis that non-trivial quantum states act within
proteins, and thus test related theories of consciousness.
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