11,587 research outputs found
Quantum privacy and quantum coherence
We derive a simple relation between a quantum channel's capacity to convey
coherent (quantum) information and its usefulness for quantum cryptography.Comment: 6 pages RevTex; two short comments added 7 October 199
On statistically stationary homogeneous shear turbulence
A statistically stationary turbulence with a mean shear gradient is realized
in a flow driven by suitable body forces. The flow domain is periodic in
downstream and spanwise directions and bounded by stress free surfaces in the
normal direction. Except for small layers near the surfaces the flow is
homogeneous. The fluctuations in turbulent energy are less violent than in the
simulations using remeshing, but the anisotropy on small scales as measured by
the skewness of derivatives is similar and decays weakly with increasing
Reynolds number.Comment: 4 pages, 5 figures (Figs. 3 and 4 as external JPG-Files
Sub-Kolmogorov-Scale Fluctuations in Fluid Turbulence
We relate the intermittent fluctuations of velocity gradients in turbulence
to a whole range of local dissipation scales generalizing the picture of a
single mean dissipation length. The statistical distribution of these local
dissipation scales as a function of Reynolds number is determined in numerical
simulations of forced homogeneous isotropic turbulence with a spectral
resolution never applied before which exceeds the standard one by at least a
factor of eight. The core of the scale distribution agrees well with a
theoretical prediction. Increasing Reynolds number causes the generation of
ever finer local dissipation scales. This is in line with a less steep decay of
the large-wavenumber energy spectra in the dissipation range. The energy
spectrum for the highest accessible Taylor microscale Reynolds number
R_lambda=107 does not show a bottleneck.Comment: 8 pages, 5 figures (Figs. 1 and 3 in reduced quality
Optimal dense coding with mixed state entanglement
I investigate dense coding with a general mixed state on the Hilbert space
shared between a sender and receiver. The following result
is proved. When the sender prepares the signal states by mutually orthogonal
unitary transformations with equal {\it a priori} probabilities, the capacity
of dense coding is maximized. It is also proved that the optimal capacity of
dense coding satisfies , where is the relative entropy of entanglement of
the shared entangled state.Comment: Revised. To appear in J. Phys. A: Math. Gen. (Special Issue: Quantum
Information and Computation). LaTeX2e (iopart.cls), 8 pages, no figure
Asymmetry of temporal cross-correlations in turbulent shear flows
We investigate spatial and temporal cross-correlations between streamwise and
normal velocity components in three shear flows: a low-dimensional model for
vortex-streak interactions, direct numerical simulations for a nearly
homogeneous shear flow and experimental data for a turbulent boundary layer. A
driving of streamwise streaks by streamwise vortices gives rise to a temporal
asymmetry in the short time correlation. Close to the wall or the bounding
surface in the free-slip situations, this asymmetry is identified. Further away
from the boundaries the asymmetry becomes weaker and changes character,
indicating the prevalence of other processes. The systematic variation of the
asymmetry measure may be used as a complementary indicator to separate
different layers in turbulent shear flows. The location of the extrema at
different streamwise displacements can be used to read off the mean advection
speed; it differs from the mean streamwise velocity because of asymmetries in
the normal extension of the structures.Comment: 10 pages, 7 Postscript figures (low quality due to downsizing
Quantum data processing and error correction
This paper investigates properties of noisy quantum information channels. We
define a new quantity called {\em coherent information} which measures the
amount of quantum information conveyed in the noisy channel. This quantity can
never be increased by quantum information processing, and it yields a simple
necessary and sufficient condition for the existence of perfect quantum error
correction.Comment: LaTeX, 20 page
Qubit Channels Can Require More Than Two Inputs to Achieve Capacity
We give examples of qubit channels that require three input states in order
to achieve the Holevo capacity.Comment: RevTex, 5 page, 4 figures
Inequalities for quantum channels assisted by limited resources
The information capacities and ``distillability'' of a quantum channel are
studied in the presence of auxiliary resources. These include prior
entanglement shared between the sender and receiver and free classical bits of
forward and backward communication. Inequalities and trade-off curves are
derived. In particular an alternative proof is given that in the absence of
feedback and shared entanglement, forward classical communication does not
increase the quantum capacity of a channel.Comment: 8 pages, 4 figures (references updated, minor changes
The quantum capacity is properly defined without encodings
We show that no source encoding is needed in the definition of the capacity
of a quantum channel for carrying quantum information. This allows us to use
the coherent information maximized over all sources and and block sizes, but
not encodings, to bound the quantum capacity. We perform an explicit
calculation of this maximum coherent information for the quantum erasure
channel and apply the bound in order find the erasure channel's capacity
without relying on an unproven assumption as in an earlier paper.Comment: 19 pages revtex with two eps figures. Submitted to Phys. Rev. A.
Replaced with revised and simplified version, and improved references, etc.
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