24,655 research outputs found
Conservation law for distributed entanglement of formation and quantum discord
We present a direct relation, based upon a monogamic principle, between
entanglement of formation (EOF) and quantum discord (QD), showing how they are
distributed in an arbitrary tripartite pure system. By extending it to a
paradigmatic situation of a bipartite system coupled to an environment, we
demonstrate that the EOF and the QD obey a conservation relation. By means of
this relation we show that in the deterministic quantum computer with one pure
qubit the protocol has the ability to rearrange the EOF and the QD, which
implies that quantum computation can be understood on a different basis as a
coherent dynamics where quantum correlations are distributed between the qubits
of the computer. Furthermore, for a tripartite mixed state we show that the
balance between distributed EOF and QD results in a stronger version of the
strong subadditivity of entropy.Comment: Published versio
Running Gluon Mass from Landau Gauge Lattice QCD Propagator
The interpretation of the Landau gauge lattice gluon propagator as a massive
type bosonic propagator is investigated. Three different scenarios are
discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant
gluon mass; iii) a momentum dependent mass. We find that the infrared data can
be associated with a massive propagator up to momenta MeV, with a
constant gluon mass of 723(11) MeV, if one excludes the zero momentum gluon
propagator from the analysis, or 648(7) MeV, if the zero momentum gluon
propagator is included in the data sets. The ultraviolet lattice data is not
compatible with a massive type propagator with a constant mass. The scenario of
a momentum dependent gluon mass gives a decreasing mass with the momentum,
which vanishes in the deep ultraviolet region. Furthermore, we show that the
functional forms used to describe the decoupling like solution of the
Dyson-Schwinger equations are compatible with the lattice data with similar
mass scales.Comment: Version to appear in J. Phys. G. New version include some rewriting
and new analysis. In particular, the section on the running mass is ne
Capacitive Coupling of Two Transmission Line Resonators Mediated by the Phonon Number of a Nanoelectromechanical Oscillator
Detection of quantum features in mechanical systems at the nanoscale
constitutes a challenging task, given the weak interaction with other elements
and the available technics. Here we describe how the interaction between two
monomodal transmission-line resonators (TLRs) mediated by vibrations of a
nano-electromechanical oscillator can be described. This scheme is then
employed for quantum non-demolition detection of the number of phonons in the
nano-electromechanical oscillator through a direct current measurement in the
output of one of the TLRs. For that to be possible an undepleted field inside
one of the TLR works as a amplifier for the interaction between the mechanical
resonator and the remaining TLR. We also show how how the non-classical nature
of this system can be used for generation of tripartite entanglement and
conditioned mechanical coherent superposition states, which may be further
explored for detection processes.Comment: 6 pages, 5 figure
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