17,829 research outputs found
Minimum-error discrimination between three mirror-symmetric states
We present the optimal measurement strategy for distinguishing between three
quantum states exhibiting a mirror symmetry. The three states live in a
two-dimensional Hilbert space, and are thus overcomplete. By mirror symmetry we
understand that the transformation {|+> -> |+>, |-> -> -|->} leaves the set of
states invariant. The obtained measurement strategy minimizes the error
probability. An experimental realization for polarized photons, realizable with
current technology, is suggested.Comment: 4 pages, 2 figure
The Joint Vienna Institute
"How does the intellectual role played by international training organisations fit into the contemporary architecture of global governance? The international diffusion of economic policy ideas represents one of the core dimensions of contemporary global governance, which has generated heated controversy in recent years with international institutions such as the International Monetary Fund (IMF) and the World Bank castigated for championing a ‘one-size-fits-all’ brand of neoliberal economic reform. Yet while substantial scholarly attention has focused on analysing the effects of the formal compliance mechanisms that the IMF and the World Bank rely on to implement neoliberal policy changes in borrowing countries, such as loan conditionality, less attention has been devoted to exploring the intermediate avenues through which neoliberal ideas travel from global governance institutions to national governance contexts. This article aims to address this gap in the study of contemporary global governance and neoliberal policy diffusion through critically examining the evolving role of the Joint Vienna Institute (JVI), an international training organisation set up after the end of the Cold War to transmit global ‘best practice’ economic policy ideas to national officials in post-communist economies.
Production of superpositions of coherent states in traveling optical fields with inefficient photon detection
We develop an all-optical scheme to generate superpositions of
macroscopically distinguishable coherent states in traveling optical fields. It
non-deterministically distills coherent state superpositions (CSSs) with large
amplitudes out of CSSs with small amplitudes using inefficient photon
detection. The small CSSs required to produce CSSs with larger amplitudes are
extremely well approximated by squeezed single photons. We discuss some
remarkable features of this scheme: it effectively purifies mixed initial
states emitted from inefficient single photon sources and boosts negativity of
Wigner functions of quantum states.Comment: 13 pages, 9 figures, to be published in Phys. Rev.
Minimum-error discrimination between subsets of linearly dependent quantum states
A measurement strategy is developed for a new kind of hypothesis testing. It
assigns, with minimum probability of error, the state of a quantum system to
one or the other of two complementary subsets of a set of N given
non-orthogonal quantum states occurring with given a priori probabilities. A
general analytical solution is obtained for N states that are restricted to a
two-dimensional subspace of the Hilbert space of the system. The result for the
special case of three arbitrary but linearly dependent states is applied to a
variety of sets of three states that are symmetric and equally probable. It is
found that, in this case, the minimum error probability for distinguishing one
of the states from the other two is only about half as large as the minimum
error probability for distinguishing all three states individually.Comment: Representation improved and generalized, references added. Accepted
as a Rapid Communication in Phys. Rev.
Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator
We discuss the roles of the macroscopic limit and of different
system-environment interactions in the quantum-classical transition for a
chaotic system. We consider the kicked harmonic oscillator subject to
reservoirs that correspond in the classical case to purely dissipative or
purely diffusive behavior, in a situation that can be implemented in ion trap
experiments. In the dissipative case, we derive an expression for the time at
which quantum and classical predictions become different (breaking time) and
show that a complete quantum-classical correspondence is not possible in the
chaotic regime. For the diffusive environment we estimate the minimum value of
the diffusion coefficient necessary to retrieve the classical limit and also
show numerical evidence that, for diffusion below this threshold, the breaking
time behaves, essentially, as in the case of the system without a reservoir.Comment: 16 pages, 13 figures. Accepted for publication in Phys. Rev.
Entanglement of Pure Two-Mode Gaussian States
The entanglement of general pure Gaussian two-mode states is examined in
terms of the coefficients of the quadrature components of the wavefunction. The
entanglement criterion and the entanglement of formation are directly evaluated
as a function of these coefficients, without the need for deriving local
unitary transformations. These reproduce the results of other methods for the
special case of symmetric pure states which employ a relation between squeezed
states and Einstein-Podolsky-Rosen correlations. The modification of the
quadrature coefficients and the corresponding entanglement due to application
of various optical elements is also derived.Comment: 12 page
Vortex Lattice Locking in Rotating Two-Component Bose-Einstein Condensates
The vortex density of a rotating superfluid, divided by its particle mass,
dictates the superfluid's angular velocity through the Feynman relation. To
find how the Feynman relation applies to superfluid mixtures, we investigate a
rotating two-component Bose-Einstein condensate, composed of bosons with
different masses. We find that in the case of sufficiently strong interspecies
attraction, the vortex lattices of the two condensates lock and rotate at the
drive frequency, while the superfluids themselves rotate at two different
velocities, whose ratio is the ratio between the particle mass of the two
species. In this paper, we characterize the vortex-locked state, establish its
regime of stability, and find that it surives within a disk smaller than a
critical radius, beyond which vortices become unbound, and the two Bose-gas
rings rotate together at the frequency of the external drive.Comment: 6 pages, 2 figure
Quantum state transformation by dispersive and absorbing four-port devices
The recently derived input-output relations for the radiation field at a
dispersive and absorbing four-port device [T. Gruner and D.-G. Welsch, Phys.
Rev. A 54, 1661 (1996)] are used to derive the unitary transformation that
relates the output quantum state to the input quantum state, including
radiation and matter and without placing frequency restrictions. It is shown
that for each frequency the transformation can be regarded as a well-behaved
SU(4) group transformation that can be decomposed into a product of U(2) and
SU(2) group transformations. Each of them may be thought of as being realized
by a particular lossless four-port device. If for narrow-bandwidth radiation
far from the medium resonances the absorption matrix of the four-port device
can be disregarded, the well-known SU(2) group transformation for a lossless
device is recognized. Explicit formulas for the transformation of Fock-states
and coherent states are given.Comment: 24 pages, RevTe
Bilinear Quantum Monte Carlo: Expectations and Energy Differences
We propose a bilinear sampling algorithm in Green's function Monte Carlo for
expectation values of operators that do not commute with the Hamiltonian and
for differences between eigenvalues of different Hamiltonians. The integral
representations of the Schroedinger equations are transformed into two
equations whose solution has the form , where
and are the wavefunctions for the two related systems and
is a kernel chosen to couple and . The Monte Carlo process,
with random walkers on the enlarged configuration space , solves
these equations by generating densities whose asymptotic form is the above
bilinear distribution. With such a distribution, exact Monte Carlo estimators
can be obtained for the expectation values of quantum operators and for energy
differences. We present results of these methods applied to several test
problems, including a model integral equation, and the hydrogen atom.Comment: 27 page
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