1,061 research outputs found
Better bound on the exponent of the radius of the multipartite separable ball
We show that for an m-qubit quantum system, there is a ball of radius
asymptotically approaching kappa 2^{-gamma m} in Frobenius norm, centered at
the identity matrix, of separable (unentangled) positive semidefinite matrices,
for an exponent gamma = (1/2)((ln 3/ln 2) - 1), roughly .29248125. This is much
smaller in magnitude than the best previously known exponent, from our earlier
work, of 1/2. For normalized m-qubit states, we get a separable ball of radius
sqrt(3^(m+1)/(3^m+3)) * 2^{-(1 + \gamma)m}, i.e. sqrt{3^{m+1}/(3^m+3)}\times
6^{-m/2} (note that \kappa = \sqrt{3}), compared to the previous 2 * 2^{-3m/2}.
This implies that with parameters realistic for current experiments, NMR with
standard pseudopure-state preparation techniques can access only unentangled
states if 36 qubits or fewer are used (compared to 23 qubits via our earlier
results). We also obtain an improved exponent for m-partite systems of fixed
local dimension d_0, although approaching our earlier exponent as d_0
approaches infinity.Comment: 30 pp doublespaced, latex/revtex, v2 added discussion of Szarek's
upper bound, and reference to work of Vidal, v3 fixed some errors (no effect
on results), v4 involves major changes leading to an improved constant, same
exponent, and adds references to and discussion of Szarek's work showing that
exponent is essentially optimal for qubit case, and Hildebrand's alternative
derivation for qubit case. To appear in PR
Surface mucous as a source of genomic DNA from Atlantic billfishes (Istiophoridae) and swordfish (Xiphiidae)
Procedures for sampling genomic DNA from live billfishes
involve manual restraint and tissue excision that can be difficult to carry out and may produce stresses that affect fish survival. We examined the collection of surface mucous as a less invasive alternative method for sourcing genomic DNA by comparing it to autologous muscle tissue samples
from Atlantic blue marlin (Makaira nigricans), white marlin (Tetrapturus albidus), sailfish (Istiophorus platypterus), and swordfish (Xiphias gladius). Purified DNA from mucous
was comparable to muscle and was suitable for conventional polymerase chain reaction, random amplified polymorphic
DNA analysis, and mitochondrial and nuclear locus sequencing. The nondestructive and less invasive
characteristics of surface mucous collection may promote increased survival of released specimens and may be advantageous for other marine fish genetic studies, particularly those involving large live specimens destined
for release
Evolving community response to tourism and change in Rotorua
The aim of this report is to outline how the Rotorua community experiences tourism and tourism development and how they have adapted to it. The objectives are to: give an historical account of the history of the development of tourism in Rotorua; give an account of broader community issues which influence the community's attitudes
to tourism development in their town; record the perceptions that residents have of tourism and show how these have changed
over time; describe how the host community copes with the type of tourism development that exists in the area; and suggest what factors might be important in influencing residents' perceptions of tourism
and their adaptation to it. This report argues that the community in Rotorua is generally very accepting of tourism, and
that tourism in the town is well managed due to the proactive role taken by the local Council in relation to tourism development and promotion. Local people see tourism as a source of stability at a time of great change. For local decision-makers, tourism is a means to address the problems of unemployment and poverty which appear to be increasing in the area
Conditions for CP-Violation in the General Two-Higgs-Doublet Model
The most general Higgs potential of the two-Higgs-doublet model (2HDM)
contains three squared-mass parameters and seven quartic self-coupling
parameters. Among these, one squared-mass parameter and three quartic coupling
parameters are potentially complex. The Higgs potential explicitly violates CP
symmetry if and only if no choice of basis exists in the two-dimensional Higgs
``flavor'' space in which all the Higgs potential parameters are real. We
exhibit four independent potentially complex invariant (basis-independent)
combinations of mass and coupling parameters and show that the reality of all
four invariants provides the necessary and sufficient conditions for an
explicitly CP-conserving 2HDM scalar potential. Additional potentially complex
invariants can be constructed that depend on the Higgs field vacuum expectation
values (vevs). We demonstrate how these can be used together with the
vev-independent invariants to distinguish between explicit and spontaneous
CP-violation in the Higgs sector.Comment: 46 pages, minor typographical errors corrected, accepted for
publication in Phys. Rev.
Neuroimaging of structural pathology and connectomics in traumatic brain injury: Toward personalized outcome prediction.
Recent contributions to the body of knowledge on traumatic brain injury (TBI) favor the view that multimodal neuroimaging using structural and functional magnetic resonance imaging (MRI and fMRI, respectively) as well as diffusion tensor imaging (DTI) has excellent potential to identify novel biomarkers and predictors of TBI outcome. This is particularly the case when such methods are appropriately combined with volumetric/morphometric analysis of brain structures and with the exploration of TBI-related changes in brain network properties at the level of the connectome. In this context, our present review summarizes recent developments on the roles of these two techniques in the search for novel structural neuroimaging biomarkers that have TBI outcome prognostication value. The themes being explored cover notable trends in this area of research, including (1) the role of advanced MRI processing methods in the analysis of structural pathology, (2) the use of brain connectomics and network analysis to identify outcome biomarkers, and (3) the application of multivariate statistics to predict outcome using neuroimaging metrics. The goal of the review is to draw the community's attention to these recent advances on TBI outcome prediction methods and to encourage the development of new methodologies whereby structural neuroimaging can be used to identify biomarkers of TBI outcome
Playing Muller Games in a Hurry
This work studies the following question: can plays in a Muller game be
stopped after a finite number of moves and a winner be declared. A criterion to
do this is sound if Player 0 wins an infinite-duration Muller game if and only
if she wins the finite-duration version. A sound criterion is presented that
stops a play after at most 3^n moves, where n is the size of the arena. This
improves the bound (n!+1)^n obtained by McNaughton and the bound n!+1 derived
from a reduction to parity games
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