with quantum computers Vlatko Vedral Oxford amp Singapore v latkovedralqubitorg Talk Outline A discussion regarding reductionism Quantum effects in biology Cold atoms quantum computers ID: 477803
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Slide1
Simulating living molecules with quantum computers
Vlatko
Vedral
,
Oxford
&
Singapore
v
latko.vedral@qubit.orgSlide2
Talk Outline
A discussion regarding reductionism;
Quantum effects in biology;
Cold atoms quantum computers;
Simulating energy transfer with quantum computers;
Simulating life?Slide3
In collaboration with…
Ross
Dorner
, John
Goold
, Libby Heaney,
Felix Pollock, Felix Binder, Tristan Farrow,
Agata
Checinska
Mile
Gu
, Mark Williamson
Discussions with
: Martin
Aulbach
, Oscar
Dahlsten
, Andrew Garner,
Kavan
Modi
, Giovanni
Vacanti
.
Funding
: Ministry of Education and National Science Foundation,
Singapore,
Leverhulme
Trust, Templeton Foundation, James Martin School (Oxford).Slide4
Reductionism or not?
Macroscopic laws are compatible with the
microscopic ones, but can they be fully
d
erived from them?Slide5
“At each stage, entirely new
laws and
generalisations are necessary, requiring inspiration and creativity.”
Different Views
"The ability to reduce everything to simple fundamental laws does not imply the ability to start from those laws and reconstruct the universe.”
–”More is Different” Science 1972
Anderson
“
Everything is either Physics or Stamp
Collecting
”
Rutherford Slide6
Smallest Clock
Peter
Pesic
, 1993
Eur
. J. Phys.
14,
90
E-coli:
Reflects
Schroedinger’s
beliefs in “What is life?”
(Wigner)Slide7
Can we Derive Biological
Laws?
H
k
3
3
1
0
2
4
3
2
3
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
kSlide8
Conclusion of
Gu
et al.
Any averaging Macroscopic Properties of the Periodic
Ising
Lattice at Ground State are in general,
undecidable
.
H
k
3
3
1
0
2
4
3
2
3
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
H
k
k = 3Slide9
Towards Quantum Simulations of Biological Information Flow
Interface Focus Theme Issue
`Computability and the Turning centenary
'
Ross
Dorner
, John
Goold
and
VVQuantum coherent contributions in biological electron transferRoss
Dorner, John Goold, Libby Heaney, Tristan Farrow, V VSlide10
Electron transfer in biology
The basis of all oxidation-reduction reactions in an
organism; photosynthesis, vision, respiration...
Current/future technologies: Molecular electronic
devices, organic LEDs
Figure: M. Brownlee,
Nature
414
, 813 (2001)Slide11
Respiratory complex I
Left:. L. A. Sazanov,
Biochemistry
,
46,
2275 (2007).
Right: J. Hirst,
Biochem. J
.,
425, 327 (2010).Slide12
Marcus theorySlide13
Holstein HamiltonianSlide14
Optical excitation using arc lamp ramped
from λ = 350 to 550 nm
RC-I aliquot
conc
n
.
1mg/ml in MOPS (at RTP)
A grating spectrometer was used to
analyse
the emission then
recorded with a Silicon CCD array.
Sharp rise in emission intensity in the excitation range
λ =
350 to 450 nm, peaking at 410nm.
This coincides with the wavelength range where the
FeS
clusters and the FMN molecule in RC I absorb strongly.
Low RC I absorption of
excitation wavelengths above
450nm
, where most the emission
signal is the contribution from arc lamp.
Room temperature emission from Respiratory Complex I (RCI)
Arc Lamp emission
RC I emission: FMN +
FeSSlide15
RC I
conc
n
.
of 2.5 mg/ml in MOPS solution
Room temperature excitation using arc lamp
centred
λ = 389.5nm; Grating spectrometer was used to select the excitation line (FWHM ~12nm)
Absorption measured with Perkin-Elmer spectrometer
Red-shifted emission spectrum from
RC I (red curve) with respect to the absorption spectrum (blue curve).
Stokes shift =>
approximate phonon frequency
Multiple
Lorentzian
peak fitting =>
wavelength difference
estimated
between the most intense peak in the two curves
Phonon frequency at Room TemperatureSlide16
Parameters
On-site energies from reduction potential data1
Vibronic coupling strength from DFT simulations of inner sphere reorganisation energy2:
g = 10 – 30 THz
Vibronic frequencies from NRVS, resonance Raman
spectroscopy and DFT2:
ω = 5 - 10 THz
Tunnelling rates fitted from DFT simulations of in situ electron tunnelling within RC-I1:
t = 1 - 10 GHz
1. T. Hayashi and A. A. Stuchebrukhov,
PNAS
45, 19157 (2010).2. D. Mitra et al,
Biochem. US. 50, 5220 (2011)Slide17Slide18Slide19
Can we simulate the salient aspects of a biological system
in a tunable laboratory setup?Slide20
Ultra-cold atoms as open system
quantum simulators
A trapped single ion inside a Bose Einstein Condensate
C. Zipkes, S. Palzer, C. Sias and M. Kohl
Nature. 464, 388 (2010)
Polaron
Problem
C.H. Wu, A. Sommer, and A.W. Zwierlien
PRL. 464, 102 230402 (2011) Slide21
Greiner Lab – Harvard 2010
Bloch Lab – MPQ 2011Slide22
Simulation of Holstein Hamiltonian
With Two Component ultra cold atomic mixtures
Polaron Physics in Optical Lattices
Phys. Rev. A 76, 011605(R) (2007)
Transport of strong-coupling polarons in optical lattices
New J. Phys. 10, 033015 (2008)
Dieter Jaksch Group
Trap single impurity on a lattice potential immersed in an auxiliary BEC!Slide23
Simulation of Biological Electron Transport
Tune interactions and correlation functions of auxiliary BEC bath to simulate noiseSlide24
Homeostasis
: Regulation of the internal environment to maintain a constant state;
Organization
: Being structurally composed of one or more cells, which are the basic units of life.
Metabolism
: Transformation of energy by converting chemicals and energy into cellular components
and
decomposing organic
matter.
Growth: Maintenance of a higher rate of anabolism than catabolism. A growing organism increases in size in all of its parts, rather than simply accumulating matter.Adaptation: The ability to change over a period of time in response to the environment.
Reproduction: The ability to produce new individual organismsProperties of living systems:Slide25
The Colloid and the Crystal (Joseph Wood Krutch)
No wonder that enthusiastic biologists in the nineteenth century, anxious to conclude that there was no qualitative difference between life and chemical processes, tried to believe that the crystal furnished the link, that its growth was actually the same as the growth of a living organism.
But
excusable though the fancy was, no one, I think, believes anything of the sort today. Protoplasm is a colloid and the colloids are fundamentally different from the crystalline substances. Instead of crystallizing they jell, and life in its simplest known form is a shapeless blob of rebellious jelly rather than a crystal eternally obeying the most ancient law. Slide26
Living
Systems = Maxwell’s demons
Jacques Monod “Chance and Necessity” (1970)
(
Democritus
, "Everything existing in the universe is the fruit of chance and
necessity
.“)Slide27
Questions
Are biomolecules capable of coherent quantum
behaviour
?
Are quantum effects just deliberately suppressed or is there any advantage
i
n having a fully quantum energy and matter transport?
How far can quantum computers simulate bio-molecules?
Can we understand laws of chemistry and biology as being
consequencs of microsopic quantum physics? (Do physical facts fix all facts?)Can we build living systems bottom up?