2,669 research outputs found
A study of separability criteria for mixed three-qubit states
We study the noisy GHZ-W mixture. We demonstrate some necessary but not
sufficient criteria for different classes of separability of these states. It
turns out that the partial transposition criterion of Peres and the criteria of
G\"uhne and Seevinck dealing with matrix elements are the strongest ones for
different separability classes of this 2 parameter state. As a new result we
determine a set of entangled states of positive partial transpose.Comment: 18 pages, 10 figures, PRA styl
Singlet-triplet splitting, correlation and entanglement of two electrons in quantum dot molecules
Starting with an accurate pseudopotential description of the single-particle
states, and following by configuration-interaction treatment of correlated
electrons in vertically coupled, self-assembled InAs/GaAs quantum
dot-molecules, we show how simpler, popularly-practiced approximations, depict
the basic physical characteristics including the singlet-triplet splitting,
degree of entanglement (DOE) and correlation. The mean-field-like
single-configuration approaches such as Hartree-Fock and local spin density,
lacking correlation, incorrectly identify the ground state symmetry and give
inaccurate values for the singlet-triplet splitting and the DOE. The Hubbard
model gives qualitatively correct results for the ground state symmetry and
singlet-triplet splitting, but produces significant errors in the DOE because
it ignores the fact that the strain is asymmetric even if the dots within a
molecule are identical. Finally, the Heisenberg model gives qualitatively
correct ground state symmetry and singlet-triplet splitting only for rather
large inter-dot separations, but it greatly overestimates the DOE as a
consequence of ignoring the electron double occupancy effect.Comment: 13 pages, 9 figures. To appear in Phys. Rev.
Effects of Job Accessibility Improved by Public Transport System: Natural Experimental Evidence from the Copenhagen Metro
This study examines the effect of accessibility to urban jobs via a public transport system on individual earnings and commuting behaviour. The effect of improved public transport based accessibility on these outcomes is determined by exploiting the exogenous variation in access to a public rail and Metro system resulting from the construction of a new terminal Metro station connecting southern townships to Copenhagen city centre. The results show that public transport based job accessibility has a positive and permanent effect on individual earnings. The increase in earnings is associated with a change in commuting patterns as the improved access to public transport facilitates a shift from employment within the township to better paid jobs in the city centre, as well as in other suburbs of the Copenhagen Metropolitan area
Teleportation in a noisy environment: a quantum trajectories approach
We study the fidelity of quantum teleportation for the situation in which
quantum logic gates are used to provide the long distance entanglement required
in the protocol, and where the effect of a noisy environment is modeled by
means of a generalized amplitude damping channel. Our results demonstrate the
effectiveness of the quantum trajectories approach, which allows the simulation
of open systems with a large number of qubits (up to 24). This shows that the
method is suitable for modeling quantum information protocols in realistic
environments.Comment: 9 pages, 2 figure
Multi-Partite Entanglement Inequalities via Spin Vector Geometry
We introduce inequalities for multi-partite entanglement, derived from the
geometry of spin vectors. The criteria are constructed iteratively from cross
and dot products between the spins of individual subsystems, each of which may
have arbitrary dimension. For qubit ensembles the maximum violation for our
inequalities is larger than that for the Mermin-Klyshko Bell inequalities, and
the maximally violating states are different from Greenberger-Horne-Zeilinger
states. Our inequalities are violated by certain bound entangled states for
which no Bell-type violation has yet been found.Comment: 4 pages, 2 tables, 1 figure. A truncated version is published in
Physical Review Letters, volume 95 issue 18, 180402 (October 2005
A smoothing monotonic convergent optimal control algorithm for NMR pulse sequence design
The past decade has demonstrated increasing interests in using optimal
control based methods within coherent quantum controllable systems. The
versatility of such methods has been demonstrated with particular elegance
within nuclear magnetic resonance (NMR) where natural separation between
coherent and dissipative spin dynamics processes has enabled coherent quantum
control over long periods of time to shape the experiment to almost ideal
adoption to the spin system and external manipulations. This has led to new
design principles as well as powerful new experimental methods within magnetic
resonance imaging, liquid-state and solid-state NMR spectroscopy. For this
development to continue and expand, it is crucially important to constantly
improve the underlying numerical algorithms to provide numerical solutions
which are optimally compatible with implementation on current instrumentation
and at same time are numerically stable and offer fast monotonic convergence
towards the target. Addressing such aims, we here present a smoothing
monotonically convergent algorithm for pulse sequence design in magnetic
resonance which with improved optimization stability lead to smooth pulse
sequence easier to implement experimentally and potentially understand within
the analytical framework of modern NMR spectroscopy
Effects of Job Accessibility Improved by Public Transport System: Natural Experimental Evidence from the Copenhagen Metro
This study examines the effect of accessibility to urban jobs via a public transport system on individual earnings and commuting behaviour. The effect of improved public transport based accessibility on these outcomes is determined by exploiting the exogenous variation in access to a public rail and Metro system resulting from the construction of a new terminal Metro station connecting southern townships to Copenhagen city centre. The results show that public transport based job accessibility has a positive and permanent effect on individual earnings. The increase in earnings is associated with a change in commuting patterns as the improved access to public transport facilitates a shift from employment within the township to better paid jobs in the city centre, as well as in other suburbs of the Copenhagen Metropolitan area
Preferred Measurements: Optimality and Stability in Quantum Parameter Estimation
We explore precision in a measurement process incorporating pure probe
states, unitary dynamics and complete measurements via a simple formalism. The
concept of `information complement' is introduced. It undermines measurement
precision and its minimization reveals the system properties at an optimal
point. Maximally precise measurements can exhibit independence from the true
value of the estimated parameter, but demanding this severely restricts the
type of viable probe and dynamics, including the requirement that the
Hamiltonian be block-diagonal in a basis of preferred measurements. The
curvature of the information complement near a globally optimal point provides
a new quantification of measurement stability.Comment: 4 pages, 2 figures, in submission. Substantial Extension and
replacement of arXiv:0902.3260v1 in response to Referees' remark
Accurate force-field methodology capturing atomic reconstructions in transition metal dichalcogenide moir\'e systems
In this work, a generalized force-field methodology for the relaxation of
large moir\'e heterostructures is proposed. The force-field parameters are
optimized to accurately reproduce the structural degrees of freedom of some
computationally manageable cells relaxed using density functional theory. The
parameters can then be used to handle large moir\'e systems. We specialize to
the case of 2H-phased twisted transition-metal dichalcogenide homo- and
heterobilayers using a combination of the Stillinger-Weber intralayer- and the
Kolmogorov-Crespi interlayer-potential. Force-field parameters are developed
for all combinations of MX for and
. The results show agreement
within 20 meV in terms of band structure between density functional theory and
force-field relaxation. Using the relaxed structures, a simplified and
systematic scheme for the extraction of the interlayer moir\'e potential is
presented for both R- and H-stacked systems. We show that in-plane and
out-of-plane relaxation effects on the moir\'e potential, which is made both
deeper and wider after relaxation, are essential. An interpolation based
methodology for the calculation of the interlayer binding energy is also
proposed. Finally, we show that atomic reconstruction, which is captured by the
force-field method, becomes especially prominent for angles below 4-5,
when there is no mismatch in lattice constant between layers.Comment: 11 pages, 12 figures. Accepted by and to be published in Physical
Review
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