33 research outputs found
Towards Understanding the Origin of Genetic Languages
Molecular biology is a nanotechnology that works--it has worked for billions
of years and in an amazing variety of circumstances. At its core is a system
for acquiring, processing and communicating information that is universal, from
viruses and bacteria to human beings. Advances in genetics and experience in
designing computers have taken us to a stage where we can understand the
optimisation principles at the root of this system, from the availability of
basic building blocks to the execution of tasks. The languages of DNA and
proteins are argued to be the optimal solutions to the information processing
tasks they carry out. The analysis also suggests simpler predecessors to these
languages, and provides fascinating clues about their origin. Obviously, a
comprehensive unraveling of the puzzle of life would have a lot to say about
what we may design or convert ourselves into.Comment: (v1) 33 pages, contributed chapter to "Quantum Aspects of Life",
edited by D. Abbott, P. Davies and A. Pati, (v2) published version with some
editin
Efficient Energy Transport in Photosynthesis: Roles of Coherence and Entanglement
Recently it has been discovered---contrary to expectations of physicists as
well as biologists---that the energy transport during photosynthesis, from the
chlorophyll pigment that captures the photon to the reaction centre where
glucose is synthesised from carbon dioxide and water, is highly coherent even
at ambient temperature and in the cellular environment. This process and the
key molecular ingredients that it depends on are described. By looking at the
process from the computer science view-point, we can study what has been
optimised and how. A spatial search algorithmic model based on robust features
of wave dynamics is presented.Comment: 6 pages, 3 figures, to appear in the proceedings of the Symposium "75
Years of Quantum Entanglement: Foundations and Information Theoretic
Applications", January 2011, Kolkata, Indi
The Quantum Density Matrix and its many uses: From quantum structure to quantum chaos and noisy simulators
The quantum density matrix generalises the classical concept of probability
distribution to quantum theory. It gives the complete description of a quantum
state as well as the observable quantities that can be extracted from it. Its
mathematical structure is described, with applications to understanding quantum
correlations, illustrating quantum chaos and its unravelling, and developing
software simulators for noisy quantum systems with efficient quantum state
tomography.Comment: (v1) 28 pages, 4 figures. Review article with some new results.
Comments welcome. (v2) Version to be published. Subtitle added. Minor
clarifications inserte
A Transverse Lattice QCD Model for Mesons
QCD is analysed with two light-front continuum dimensions and two transverse
lattice dimensions. In the limit of large number of colours and strong
transverse gauge coupling, the contributions of light-front and transverse
directions factorise in the dynamics, and the theory can be analytically solved
in a closed form. An integral equation is obtained, describing the properties
of mesons, which generalises the 't Hooft equation by including spin degrees of
freedom. The meson spectrum, light-front wavefunctions and form factors can be
obtained by solving this equation numerically. These results would be a good
starting point to model QCD observables which only weakly depend on transverse
directions, e.g. deep inelastic scattering structure functions.Comment: Lattice 2003 (theory), 3 page
A derivation of Regge trajectories in large-N transverse lattice QCD
Large-N QCD is analysed in light-front coordinates with a transverse lattice
at strong coupling. The general formalism can be looked up on as a d+n
expansion with a stack of d-dimensional hyperplanes uniformly spaced in n
transverse dimensions. It can arise by application of the renormalisation group
transformations only in the transverse directions. At leading order in strong
coupling, the gauge field dynamics reduces to the constraint that only colour
singlet states can jump between the hyperplanes. With d=2, n=2 and large-N, the
leading order strong coupling results are simple renormalisations of those for
the 't Hooft model. The meson spectrum lies on a set of parallel trajectories
labeled by spin. This is the first derivation of the widely anticipated Regge
trajectories in a regulated systematic expansion in QCD.Comment: Lattice 2000 (spectrum), 5 pages, to appear in the proceeding
Quantum mechanics gives stability to a Nash equilibrium
We consider a slightly modified version of the Rock-Scissors-Paper (RSP) game
from the point of view of evolutionary stability. In its classical version the
game has a mixed Nash equilibrium (NE) not stable against mutants. We find a
quantized version of the RSP game for which the classical mixed NE becomes
stable.Comment: Revised on referee's criticism, submitted to Physical Review
pion scattering amplitude with Wilson fermions
We present an exploratory calculation of the scattering
amplitude at threshold using Wilson fermions in the quenched approximation,
including all the required contractions. We find good agreement with the
predictions of chiral perturbation theory even for pions of mass 560-700 MeV.
Within the 10\% errors, we do not see the onset of the bad chiral behavior
expected for Wilson fermions. We also derive rigorous inequalities that apply
to 2-particle correlators and as a consequence show that the interaction in the
antisymmetric state of two pions has to be attractive.Comment: This PS file includes 4 tables and figures 1-8 on 25 pages. Los
Alamos Preprint Number LAUR-92-364
The Kaon -parameter with Wilson Fermions
We calculate the kaon -parameter in quenched lattice QCD at
using Wilson fermions at and . We use two kinds of
non-local (``smeared'') sources for quark propagators to calculate the matrix
elements between states of definite momentum. The use of smeared sources yields
results with much smaller errors than obtained in previous calculations with
Wilson fermions. By combining results for and , we show that one can carry out the non-perturbative subtraction
necessary to remove the dominant lattice artifacts induced by the chiral
symmetry breaking term in the Wilson action. Our final results are in good
agreement with those obtained using staggered fermions. We also present results
for -parameters of the part of the electromagnetic penguin
operators, and preliminary results for \bk\ in the presence of two flavors of
dynamical quarks.Comment: 39 pages, including 9 PS figures (LA UR-91-3522