73 research outputs found
Almost Perfect Privacy for Additive Gaussian Privacy Filters
We study the maximal mutual information about a random variable
(representing non-private information) displayed through an additive Gaussian
channel when guaranteeing that only bits of information is leaked
about a random variable (representing private information) that is
correlated with . Denoting this quantity by , we show that
for perfect privacy, i.e., , one has for any pair of
absolutely continuous random variables and then derive a second-order
approximation for for small . This approximation is
shown to be related to the strong data processing inequality for mutual
information under suitable conditions on the joint distribution . Next,
motivated by an operational interpretation of data privacy, we formulate the
privacy-utility tradeoff in the same setup using estimation-theoretic
quantities and obtain explicit bounds for this tradeoff when is
sufficiently small using the approximation formula derived for
.Comment: 20 pages. To appear in Springer-Verla
On the strong converses for the quantum channel capacity theorems
A unified approach to prove the converses for the quantum channel capacity
theorems is presented. These converses include the strong converse theorems for
classical or quantum information transfer with error exponents and novel
explicit upper bounds on the fidelity measures reminiscent of the Wolfowitz
strong converse for the classical channel capacity theorems. We provide a new
proof for the error exponents for the classical information transfer. A long
standing problem in quantum information theory has been to find out the strong
converse for the channel capacity theorem when quantum information is sent
across the channel. We give the quantum error exponent thereby giving a
one-shot exponential upper bound on the fidelity. We then apply our results to
show that the strong converse holds for the quantum information transfer across
an erasure channel for maximally entangled channel inputs.Comment: Added the strong converse for the erasure channel for maximally
entangled inputs and corrected minor typo
Kaon pair production in proton-nucleus collisions at 2.83 GeV kinetic energy
The production of non-phi K+K- pairs by protons of 2.83 GeV kinetic energy on
C, Cu, Ag, and Au targets has been investigated using the COSY-ANKE magnetic
spectrometer. The K- momentum dependence of the differential cross section has
been measured at small angles over the 0.2--0.9 GeV/c range. The comparison of
the data with detailed model calculations indicates an attractive K- -nucleus
potential of about -60 MeV at normal nuclear matter density at a mean momentum
of 0.5 GeV/c. However, this approach has difficulty in reproducing the
smallness of the observed cross sections at low K- momenta.Comment: 7 pages, 5 figures, 1 tabl
Entanglement can increase asymptotic rates of zero-error classical communication over classical channels
It is known that the number of different classical messages which can be
communicated with a single use of a classical channel with zero probability of
decoding error can sometimes be increased by using entanglement shared between
sender and receiver. It has been an open question to determine whether
entanglement can ever increase the zero-error communication rates achievable in
the limit of many channel uses. In this paper we show, by explicit examples,
that entanglement can indeed increase asymptotic zero-error capacity, even to
the extent that it is equal to the normal capacity of the channel.
Interestingly, our examples are based on the exceptional simple root systems E7
and E8.Comment: 14 pages, 2 figur
Momentum dependence of the phi-meson nuclear transparency
The production of phi mesons in proton collisions with C, Cu, Ag, and Au
targets has been studied via the phi -> K+K- decay at an incident beam energy
of 2.83 GeV using the ANKE detector system at COSY. For the first time, the
momentum dependence of the nuclear transparency ratio, the in-medium phi width,
and the differential cross section for phi meson production at forward angles
have been determined for these targets over the momentum range of 0.6 - 1.6
GeV/c. There are indications of a significant momentum dependence in the value
of the extracted phi width, which corresponds to an effective phi-N absorption
cross section in the range of 14 - 21 mb.Comment: 9 pages, 5 figure
The production of K+K- pairs in proton-proton collisions at 2.83 GeV
Differential and total cross sections for the pp -> ppK+K- reaction have been
measured at a proton beam energy of 2.83 GeV using the COSY-ANKE magnetic
spectrometer. Detailed model descriptions fitted to a variety of
one-dimensional distributions permit the separation of the pp -> pp phi cross
section from that of non-phi production. The differential spectra show that
higher partial waves represent the majority of the pp -> pp phi total cross
section at an excess energy of 76 MeV, whose energy dependence would then seem
to require some s-wave phi-p enhancement near threshold. The non-phi data can
be described in terms of the combined effects of two-body final state
interactions using the same effective scattering parameters determined from
lower energy data.Comment: 12 pages, 12 figures, 3 table
Synchrotron oscillation effects on an rf-solenoid spin resonance
New measurements are reported for the time dependence of the vertical polarization of a 0: 97 GeV/c deuteron beam circulating in a storage ring and perturbed by an rf solenoid. The storage ring is the cooler synchrotron (COSY) located at the Forschungszentrum Julich. The beam polarization was measured continuously using a 1.5 cm thick carbon target located at the edge of the circulating deuteron beam and the scintillators of the EDDA detector. An rf solenoid mounted on the ring was used to generate fields at and near the frequency of the 1 - G gamma spin resonance. Measurements were made of the vertical beam polarization as a function of time with the operation of the rf solenoid in either fixed or continuously variable frequency mode. Using rf-solenoid strengths as large as 2.66 x 10(-5) revolutions/turn, slow oscillations (similar to 1 Hz) were observed in the vertical beam polarization. When the circulating beam was continuously electron cooled, these oscillations completely reversed the polarization and showed no sign of diminishing in amplitude. But for the uncooled beam, the oscillation amplitude was damped to nearly zero within a few seconds. A simple spin-tracking model without the details of the COSY ring lattice was successful in reproducing these oscillations and demonstrating the sensitivity of the damping to the magnitude of the synchrotron motion of the beam particles. The model demonstrates that the characteristic features of measurements made in the presence of large synchrotron oscillations are distinct from the features of such measurements when made off resonance. These data were collected in preparation for a study of the spin coherence time, a beam property that needs to become long to enable a search for an electric dipole moment using a storage ring
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