24,663 research outputs found
Unified criteria for multipartite quantum nonlocality
Wiseman and co-workers (Phys. Rev. Lett. 98, 140402, 2007) proposed a
distinction between the nonlocality classes of Bell's nonlocality, steering and
entanglement based on whether or not an overseer trusts each party in a
bipartite scenario where they are asked to demonstrate entanglement. Here we
extend that concept to the multipartite case and derive inequalities that
progressively test for those classes of nonlocality, with different thresholds
for each level. This framework includes the three classes of nonlocality above
in special cases and introduces a family of others.Comment: V2: corrected image display; V3: substantial changes including new
proofs, arguments, and result
Testing for Multipartite Quantum Nonlocality Using Functional Bell Inequalities
We show that arbitrary functions of continuous variables, e.g. position and
momentum, can be used to generate tests that distinguish quantum theory from
local hidden variable theories. By optimising these functions, we obtain more
robust violations of local causality than obtained previously. We analytically
calculate the optimal function and include the effect of nonideal detectors and
noise, revealing that optimized functional inequalities are resistant to
standard forms of decoherence. These inequalities could allow a loophole-free
Bell test with efficient homodyne detection
Pre- and post-selection, weak values, and contextuality
By analyzing the concept of contextuality (Bell-Kochen-Specker) in terms of
pre-and-post-selection (PPS), it is possible to assign definite values to
observables in a new and surprising way. Physical reasons are presented for
restrictions on these assignments. When measurements are performed which do not
disturb the pre- and post-selection (i.e. weak measurements), then novel
experimental aspects of contextuality can be demonstrated including a proof
that every PPS-paradox with definite predictions implies contextuality. Certain
results of these measurements (eccentric weak values with e.g. negative values
outside the spectrum), however, cannot be explained by a "classical-like"
hidden variable theory.Comment: Identical content; stream-lined verbal presentatio
Robustness and Enhancement of Neural Synchronization by Activity-Dependent Coupling
We study the synchronization of two model neurons coupled through a synapse
having an activity-dependent strength. Our synapse follows the rules of
Spike-Timing Dependent Plasticity (STDP). We show that this plasticity of the
coupling between neurons produces enlarged frequency locking zones and results
in synchronization that is more rapid and much more robust against noise than
classical synchronization arising from connections with constant strength. We
also present a simple discrete map model that demonstrates the generality of
the phenomenon.Comment: 4 pages, accepted for publication in PR
Bohmian Histories and Decoherent Histories
The predictions of the Bohmian and the decoherent (or consistent) histories
formulations of the quantum mechanics of a closed system are compared for
histories -- sequences of alternatives at a series of times. For certain kinds
of histories, Bohmian mechanics and decoherent histories may both be formulated
in the same mathematical framework within which they can be compared. In that
framework, Bohmian mechanics and decoherent histories represent a given history
by different operators. Their predictions for the probabilities of histories
therefore generally differ. However, in an idealized model of measurement, the
predictions of Bohmian mechanics and decoherent histories coincide for the
probabilities of records of measurement outcomes. The formulations are thus
difficult to distinguish experimentally. They may differ in their accounts of
the past history of the universe in quantum cosmology.Comment: 7 pages, 3 figures, Revtex, minor correction
Quantum theory of successive projective measurements
We show that a quantum state may be represented as the sum of a joint
probability and a complex quantum modification term. The joint probability and
the modification term can both be observed in successive projective
measurements. The complex modification term is a measure of measurement
disturbance. A selective phase rotation is needed to obtain the imaginary part.
This leads to a complex quasiprobability, the Kirkwood distribution. We show
that the Kirkwood distribution contains full information about the state if the
two observables are maximal and complementary. The Kirkwood distribution gives
a new picture of state reduction. In a nonselective measurement, the
modification term vanishes. A selective measurement leads to a quantum state as
a nonnegative conditional probability. We demonstrate the special significance
of the Schwinger basis.Comment: 6 page
Bell inequalities for Continuous-Variable Measurements
Tests of local hidden variable theories using measurements with continuous
variable (CV) outcomes are developed, and a comparison of different methods is
presented. As examples, we focus on multipartite entangled GHZ and cluster
states. We suggest a physical process that produces the states proposed here,
and investigate experiments both with and without binning of the continuous
variable. In the former case, the Mermin-Klyshko inequalities can be used
directly. For unbinned outcomes, the moment-based CFRD inequalities are
extended to functional inequalities by considering arbitrary functions of the
measurements at each site. By optimising these functions, we obtain more robust
violations of local hidden variable theories than with either binning or
moments. Recent inequalities based on the algebra of quaternions and octonions
are compared with these methods. Since the prime advantage of CV experiments is
to provide a route to highly efficient detection via homodyne measurements, we
analyse the effect of noise and detection losses in both binned and unbinned
cases. The CV moment inequalities with an optimal function have greater
robustness to both loss and noise. This could permit a loophole-free test of
Bell inequalities.Comment: 17 pages, 6 figure
Chiral Anomaly Effects and the BaBar Measurements of the Transition Form Factor
The recent BaBar measurements of the transition
form factor show spectacular deviation from perturbative QCD prediction for
large space-like up to . When plotted against ,
shows steady increase with in contrast with the flat
behavior predicted by perturbative QCD, and at is
more than 50% larger than the QCD prediction. Stimulated by the BaBar
measurements, we revisit our previous paper on the cancellation of anomaly
effects in high energy processes , and apply our results to the
transition form factor measured in the
process with one highly virtual photon. We find that, the transition form
factor behaves as and produces a striking agreement with the BaBar data
for with which also reproduces very well the
CLEO data at lower .Comment: v4, LaTeX, 8 pages, one figure, minor changes(references), to appear
in Int. J. Mod. Phys.
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