1,308 research outputs found
Information measures based on Tsallis' entropy and geometric considerations for thermodynamic systems
An analysis of the thermodynamic behavior of quantum systems can be performed
from a geometrical perspective investigating the structure of the state space.
We have developed such an analysis for nonextensive thermostatistical
frameworks, making use of the q-divergence derived from Tsallis' entropy.
Generalized expressions for operator variance and covariance are considered, in
terms of which the fundamental tensor is given.Comment: contribution to 3rd NEXT-SigmaPhi International Conference (August
2005, Kolymbari, Greece
Experimental demonstration of Shor's algorithm with quantum entanglement
Shor's powerful quantum algorithm for factoring represents a major challenge
in quantum computation and its full realization will have a large impact on
modern cryptography. Here we implement a compiled version of Shor's algorithm
in a photonic system using single photons and employing the non-linearity
induced by measurement. For the first time we demonstrate the core processes,
coherent control, and resultant entangled states that are required in a
full-scale implementation of Shor's algorithm. Demonstration of these processes
is a necessary step on the path towards a full implementation of Shor's
algorithm and scalable quantum computing. Our results highlight that the
performance of a quantum algorithm is not the same as performance of the
underlying quantum circuit, and stress the importance of developing techniques
for characterising quantum algorithms.Comment: 4 pages, 5 figures + half-page additional online materia
On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes
We study the phase structure and equilibrium state space geometry of
R-charged black holes in , 4 and 7 and the corresponding rotating ,
and branes. For various charge configurations of the compact black
holes in the canonical ensemble we demonstrate new liquid-gas like phase
coexistence behaviour culminating in second order critical points. The critical
exponents turn out to be the same as that of four dimensional asymptotically
AdS black holes in Einstein Maxwell theory. We further establish that the
regions of stability for R-charged black holes are, in some cases, more
constrained than is currently believed, due to properties of some of the
response coefficients. The equilibrium state space scalar curvature is
calculated for various charge configurations, both for the case of compact as
well as flat horizons and its asymptotic behaviour with temperature is
established.Comment: 1 + 33 pages, LaTeX, 25 figures. References adde
On the Thermodynamic Geometry and Critical Phenomena of AdS Black Holes
In this paper, we study various aspects of the equilibrium thermodynamic
state space geometry of AdS black holes. We first examine the
Reissner-Nordstrom-AdS (RN-AdS) and the Kerr-AdS black holes. In this context,
the state space scalar curvature of these black holes is analysed in various
regions of their thermodynamic parameter space. This provides important new
insights into the structure and significance of the scalar curvature. We
further investigate critical phenomena, and the behaviour of the scalar
curvature near criticality, for KN-AdS black holes in two mixed ensembles,
introduced and elucidated in our earlier work arXiv:1002.2538 [hep-th]. The
critical exponents are identical to those in the RN-AdS and Kerr-AdS cases in
the canonical ensemble. This suggests an universality in the scaling behaviour
near critical points of AdS black holes. Our results further highlight
qualitative differences in the thermodynamic state space geometry for electric
charge and angular momentum fluctuations of these.Comment: 1 + 37 Pages, LaTeX, includes 31 figures. A figure and a
clarification added
Kerr-Newman Black Hole Thermodynamical State Space: Blockwise Coordinates
A coordinate system that blockwise-simplifies the Kerr-Newman black hole's
thermodynamical state space Ruppeiner metric geometry is constructed, with
discussion of the limiting cases corresponding to simpler black holes. It is
deduced that one of the three conformal Killing vectors of the
Reissner-Nordstrom and Kerr cases (whose thermodynamical state space metrics
are 2 by 2 and conformally flat) survives generalization to the Kerr-Newman
case's 3 by 3 thermodynamical state space metric.Comment: 4 pages incl 2 figs. Accepted by Gen. Rel. Grav. Replaced with
Accepted version (minor corrections
Magnetism in Kitaev Quantum Spin Liquid Candidate RuBr
The present studies show that long-range magnetic order takes place in
RuBr at 34 K. The observations of clear oscillations in the muon
time spectra demonstrate the presence of well-defined internal fields at the
muon sites. The magnetic ordering appears to be very robust and static
suggesting a more conventional nature of magnetic ordering in the RuBr
system at zero field. Present investigations prove that in RuBr the Kitaev
interactions are likely to be weakened at zero field in comparison to the
-RuCl system. This proves that it is possible to tune the Kitaev
interactions by replacing Cl with heavier halogen elements such as Br.Comment: 5 pages, 5 figure
Dirac cones in two-dimensional borane
We introduce two-dimensional borane, a single-layered material of BH
stoichiometry, with promising electronic properties. We show that, according to
Density Functional Theory calculations, two-dimensional borane is semimetallic,
with two symmetry-related Dirac cones meeting right at the Fermi energy .
The curvature of the cones is lower than in graphene, thus closer to the ideal
linear dispersion. Its structure, formed by a puckered trigonal boron network
with hydrogen atoms connected to each boron atom, can be understood as
distorted, hydrogenated borophene (Science \textbf{350}, 1513 (2015)). Chemical
bonding analysis reveals the boron layer in the network being bound by
delocalized four-center two-electron bonds. Finally, we suggest
high-pressure could be a feasible route to synthesise two-dimensional borane.Comment: 5 pages, 3 figures, 1 tabl
A simple probabilistic construction yielding generalized entropies and divergences, escort distributions and q-Gaussians
We give a simple probabilistic description of a transition between two states
which leads to a generalized escort distribution. When the parameter of the
distribution varies, it defines a parametric curve that we call an escort-path.
The R\'enyi divergence appears as a natural by-product of the setting. We study
the dynamics of the Fisher information on this path, and show in particular
that the thermodynamic divergence is proportional to Jeffreys' divergence.
Next, we consider the problem of inferring a distribution on the escort-path,
subject to generalized moments constraints. We show that our setting naturally
induces a rationale for the minimization of the R\'enyi information divergence.
Then, we derive the optimum distribution as a generalized q-Gaussian
distribution
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