http://vitayard.in
Open Science and Research Project
OKFN, India
varieties. Based on this classification we formulate
an asymptotic logarithmic version of Calabi’s
conjecture for del Pezzo surfaces for the existence
of K\”ahler–Einstein edge metrics in this regime.
We make some initial progress towards its proof
by demonstrating some existence and nonexistence results, among them a generalization of
Matsushima’s result on the reductivity of the
automorphism group of the pair, and results on log
canonical thresholds of pairs. One by-product of
this study is a new conjectural picture for the
small angle regime and limit which reveals a rich
structure in the asymptotic regime, of which a
folklore conjecture concerning the case of a Fano
manifold with an anticanonical divisor is a special
case.
Cite as: arXiv:1308.2503 [math.AG] (or
arXiv:1308.2503v1 [math.AG] for this version)
Read full version at : Paper
Quantum Energy
Teleportation between
Spin Particles in a
Gibbs State
Michael Frey, Karl Gerlach, Masahiro Hotta
Description:
Energy in a multipartite quantum system appears
from an operational perspective to be distributed
to some extent non-locally because of correlations
extant among the system’s components. This nonlocality allows users to transfer, in effect, locally
accessible energy between sites of different
system components by LOCC (local operations
and classical communication). Quantum energy
teleportation is a three-step LOCC protocol,
accomplished without an external energy carrier,
for effectively transferring energy between two
physically separated, but correlated, sites. We
apply this LOCC teleportation protocol to a model
Heisenberg spin particle pair initially in a quantum
thermal Gibbs state, making temperature an
explicit parameter. We find in this setting that
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