8,538 research outputs found
General implementation of all possible positive-operator-value measurements of single photon polarization states
Positive Operator Value Measures (POVMs) are the most general class of
quantum measurements. We propose a setup in which all possible POVMs of a
single photon polarization state (corresponding to all possible sets of
two-dimensional Kraus operators) can be implemented easily using linear optics
elements. This method makes it possible to experimentally realize any
projective orthogonal, projective non-orthogonal or non-projective sets of any
number of POVM operators. Furthermore our implementation only requires vacuum
ancillas, and is deterministic rather than probabilistic. Thus it realizes
every POVM with the correct set of output states. We give the settings required
to implement two different well-known non-orthogonal projective POVMs.Comment: 5 pages, newer version with minor addition
Entanglement and nonclassical properties of hypergraph states
Hypergraph states are multi-qubit states that form a subset of the locally
maximally entangleable states and a generalization of the well--established
notion of graph states. Mathematically, they can conveniently be described by a
hypergraph that indicates a possible generation procedure of these states;
alternatively, they can also be phrased in terms of a non-local stabilizer
formalism. In this paper, we explore the entanglement properties and
nonclassical features of hypergraph states. First, we identify the equivalence
classes under local unitary transformations for up to four qubits, as well as
important classes of five- and six-qubit states, and determine various
entanglement properties of these classes. Second, we present general conditions
under which the local unitary equivalence of hypergraph states can simply be
decided by considering a finite set of transformations with a clear
graph-theoretical interpretation. Finally, we consider the question whether
hypergraph states and their correlations can be used to reveal contradictions
with classical hidden variable theories. We demonstrate that various
noncontextuality inequalities and Bell inequalities can be derived for
hypergraph states.Comment: 29 pages, 5 figures, final versio
An infrared diagnostic for magnetism in hot stars
Magnetospheric observational proxies are used for indirect detection of
magnetic fields in hot stars in the X-ray, UV, optical, and radio wavelength
ranges. To determine the viability of infrared (IR) hydrogen recombination
lines as a magnetic diagnostic for these stars, we have obtained low-resolution
(R~1200), near-IR spectra of the known magnetic B2V stars HR 5907 and HR 7355,
taken with the Ohio State Infrared Imager/Spectrometer (OSIRIS) attached to the
4.1m Southern Astrophysical Research (SOAR) Telescope. Both stars show definite
variable emission features in IR hydrogen lines of the Brackett series, with
similar properties as those found in optical spectra, including the derived
location of the detected magnetospheric plasma. These features also have the
added advantage of a lowered contribution of stellar flux at these wavelengths,
making circumstellar material more easily detectable. IR diagnostics will be
useful for the future study of magnetic hot stars, to detect and analyze
lower-density environments, and to detect magnetic candidates in areas obscured
from UV and optical observations, increasing the number of known magnetic stars
to determine basic formation properties and investigate the origin of their
magnetic fields.Comment: 4 pages, accepted for publication in A&
Are inner disc misalignments common? ALMA reveals an isotropic outer disc inclination distribution for young dipper stars
Dippers are a common class of young variable star exhibiting day-long dimmings with depths of up to several tens of per cent. A standard explanation is that dippers host nearly edge-on (id ≈ 70°) protoplanetary discs that allow close-in (10 au) disc resolved by ALMA and that inner disc misalignments may be common during the protoplanetary phase. More than one mechanism may contribute to the dipper phenomenon, including accretion-driven warps and ‘broken’ discs caused by inclined (sub-)stellar or planetary companions
Exact Solutions in Five-Dimensional Axi-dilaton Gravity with Euler-Poincare Term
We examine the effective field equations that are obtained from the
axi-dilaton gravity action with a second order Euler-Poincare term and a
cosmological constant in all higher dimensions. We solve these equations for
five-dimensional spacetimes possessing homogeneity and isotropy in their
three-dimensional subspaces. For a number of interesting special cases we show
that the solutions fall into two main classes: The first class consists of
time-dependent solutions with spherical or hyperboloidal symmetry which require
certain fine-tuning relations between the coupling constants of the model and
the cosmological constant. Solutions in the second class are locally static and
prove the validity of Birkhoff's staticity theorem in the axi-dilaton gravity.
We also give a special class of static solutions, among them the well-known
black hole solutions in which the usual electric charge is superseded by an
axion charge.Comment: New formulas and references adde
Information preserving structures: A general framework for quantum zero-error information
Quantum systems carry information. Quantum theory supports at least two
distinct kinds of information (classical and quantum), and a variety of
different ways to encode and preserve information in physical systems. A
system's ability to carry information is constrained and defined by the noise
in its dynamics. This paper introduces an operational framework, using
information-preserving structures to classify all the kinds of information that
can be perfectly (i.e., with zero error) preserved by quantum dynamics. We
prove that every perfectly preserved code has the same structure as a matrix
algebra, and that preserved information can always be corrected. We also
classify distinct operational criteria for preservation (e.g., "noiseless",
"unitarily correctible", etc.) and introduce two new and natural criteria for
measurement-stabilized and unconditionally preserved codes. Finally, for
several of these operational critera, we present efficient (polynomial in the
state-space dimension) algorithms to find all of a channel's
information-preserving structures.Comment: 29 pages, 19 examples. Contains complete proofs for all the theorems
in arXiv:0705.428
Properties of Solutions in 2+1 Dimensions
We solve the Einstein equations for the 2+1 dimensions with and without
scalar fields. We calculate the entropy, Hawking temperature and the emission
probabilities for these cases. We also compute the Newman-Penrose coefficients
for different solutions and compare them.Comment: 16 pages, 1 figures, PlainTeX, Dedicated to Prof. Yavuz Nutku on his
60th birthday. References adde
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