2,184 research outputs found
General properties of Nonsignaling Theories
This article identifies a series of properties common to all theories that do
not allow for superluminal signaling and predict the violation of Bell
inequalities. Intrinsic randomness, uncertainty due to the incompatibility of
two observables, monogamy of correlations, impossibility of perfect cloning,
privacy of correlations, bounds in the shareability of some states; all these
phenomena are solely a consequence of the no-signaling principle and
nonlocality. In particular, it is shown that for any distribution, the
properties of (i) nonlocal, (ii) no arbitrarily shareable and (iii) positive
secrecy content are equivalent.Comment: 10 page
Generalized Bell Inequality Experiments and Computation
We consider general settings of Bell inequality experiments with many
parties, where each party chooses from a finite number of measurement settings
each with a finite number of outcomes. We investigate the constraints that Bell
inequalities place upon the correlations possible in a local hidden variable
theories using a geometrical picture of correlations. We show that local hidden
variable theories can be characterized in terms of limited computational
expressiveness, which allows us to characterize families of Bell inequalities.
The limited computational expressiveness for many settings (each with many
outcomes) generalizes previous results about the many-party situation each with
a choice of two possible measurements (each with two outcomes). Using this
computational picture we present generalizations of the Popescu-Rohrlich
non-local box for many parties and non-binary inputs and outputs at each site.
Finally, we comment on the effect of pre-processing on measurement data in our
generalized setting and show that it becomes problematic outside of the binary
setting, in that it allows local hidden variable theories to simulate maximally
non-local correlations such as those of these generalised Popescu-Rohrlich
non-local boxes.Comment: 16 pages, 2 figures, supplemental material available upon request.
Typos corrected and references adde
Generating nonclassical correlations without fully aligning measurements
We investigate the scenario where spatially separated parties perform
measurements in randomly chosen bases on an N-partite
Greenberger-Horne-Zeilinger state. We show that without any alignment of the
measurements, the observers will obtain correlations that violate a Bell
inequality with a probability that rapidly approaches 1 as N increases and that
this probability is robust against noise. We also prove that restricting these
randomly chosen measurements to a plane perpendicular to a common direction
will always generate correlations that violate some Bell inequality.
Specifically, if each observer chooses their two measurements to be locally
orthogonal, then the N observers will violate one of two Bell inequalities by
an amount that increases exponentially with N. These results are also robust
against noise and perturbations of each observer's reference direction from the
common direction.Comment: v2: Essentially published version (with typos fixed, results updated
in Table 2 and Figure 4 replaced); v1: 16 pages, 5 figures, 2 tables,
comments welcom
Unified Framework for Correlations in Terms of Local Quantum Observables
We provide a unified framework for nonsignalling quantum and classical
multipartite correlations, allowing all to be written as the trace of some
local (quantum) measurements multiplied by an operator. The properties of this
operator define the corresponding set of correlations.We then show that if the
theory is such that all local quantum measurements are possible, one obtains
the correlations corresponding to the extension of Gleason's Theorem to
multipartite systems. Such correlations coincide with the quantum ones for one
and two parties, but we prove the existence of a gap for three or more parties.Comment: 4 pages, final versio
Reexamination of a multisetting Bell inequality for qudits
The class of d-setting, d-outcome Bell inequalities proposed by Ji and
collaborators [Phys. Rev. A 78, 052103] are reexamined. For every positive
integer d > 2, we show that the corresponding non-trivial Bell inequality for
probabilities provides the maximum classical winning probability of the
Clauser-Horne-Shimony-Holt-like game with d inputs and d outputs. We also
demonstrate that the general classical upper bounds given by Ji et al. are
underestimated, which invalidates many of the corresponding correlation
inequalities presented thereof. We remedy this problem, partially, by providing
the actual classical upper bound for d less than or equal to 13 (including
non-prime values of d). We further determine that for prime value d in this
range, most of these probability and correlation inequalities are tight, i.e.,
facet-inducing for the respective classical correlation polytope. Stronger
lower and upper bounds on the quantum violation of these inequalities are
obtained. In particular, we prove that once the probability inequalities are
given, their correlation counterparts given by Ji and co-workers are no longer
relevant in terms of detecting the entanglement of a quantum state.Comment: v3: Published version (minor rewordings, typos corrected, upper
bounds in Table III improved/corrected); v2: 7 pages, 1 figure, 4 tables
(substantially revised with new results on the tightness of the correlation
inequalities included); v1: 7.5 pages, 1 figure, 4 tables (Comments are
welcome
Tight Bell inequalities with no quantum violation from qubit unextendible product bases
We investigate the relation between unextendible product bases (UPB) and Bell
inequalities found recently in [R. Augusiak et al., Phys. Rev. Lett. 107,
070401 (2011)]. We first review the procedure introduced there that associates
to any set of mutually orthogonal product vectors in a many-qubit Hilbert space
a Bell inequality. We then show that if a set of mutually orthogonal product
vectors can be completed to a full basis, then the associated Bell inequality
is trivial, in the sense of not being violated by any nonsignalling
correlations. This implies that the relevant Bell inequalities that arise from
the construction all come from UPBs, which adds additional weight to the
significance of UPBs for Bell inequalities. Then, we provide new examples of
tight Bell inequalities with no quantum violation constructed from UPBs in this
way. Finally, it is proven that the Bell inequalities with no quantum violation
introduced recently in [M. Almeida et al., Phys. Rev. Lett. 104, 230404 (2010)]
are tight for any odd number of parties.Comment: 14 pages, 1 figure, some minor improvement
Entangled Quantum Clocks for Measuring Proper-Time Difference
We report that entangled pairs of quantum clocks (non-degenerate quantum
bits) can be used as a specialized detector for precisely measuring difference
of proper-times that each constituent quantum clock experiences. We describe
why the proposed scheme would be more precise in the measurement of proper-time
difference than a scheme of two-separate-quantum-clocks. We consider
possibilities that the proposed scheme can be used in precision test of the
relativity theory.Comment: no correction, 4 pages, RevTe
Exploration of the Southern California Borderland
Oceanography articles are licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format as long as users cite the materials appropriately (e.g., authors, Oceanography, volume number, issue number, page number[s], figure number[s], and DOI for the article), provide a link to the Creative Commons license, and indicate the changes that were made to the original content
Terrestrial exposure of a fresh Martian meteorite causes rapid changes in hydrogen isotopes and water concentrations
Determining the hydrogen isotopic compositions and H2O contents of meteorites and their components is important for addressing key cosmochemical questions about the abundance and source(s) of water in planetary bodies. However, deconvolving the effects of terrestrial contamination from the indigenous hydrogen isotopic compositions of these extraterrestrial materials is not trivial, because chondrites and some achondrites show only small deviations from terrestrial values such that even minor contamination can mask the indigenous values. Here we assess the effects of terrestrial weathering and contamination on the hydrogen isotope ratios and H2O contents of meteoritic minerals through monitored terrestrial weathering of Tissint, a recent Martian fall. Our findings reveal the rapidity with which this weathering affects nominally anhydrous phases in extraterrestrial materials, which illustrates the necessity of sampling the interiors of even relatively fresh meteorite falls and underlines the importance of sample return missions
Device-independent quantum key distribution secure against collective attacks
Device-independent quantum key distribution (DIQKD) represents a relaxation
of the security assumptions made in usual quantum key distribution (QKD). As in
usual QKD, the security of DIQKD follows from the laws of quantum physics, but
contrary to usual QKD, it does not rely on any assumptions about the internal
working of the quantum devices used in the protocol. We present here in detail
the security proof for a DIQKD protocol introduced in [Phys. Rev. Lett. 98,
230501 (2008)]. This proof exploits the full structure of quantum theory (as
opposed to other proofs that exploit the no-signalling principle only), but
only holds again collective attacks, where the eavesdropper is assumed to act
on the quantum systems of the honest parties independently and identically at
each round of the protocol (although she can act coherently on her systems at
any time). The security of any DIQKD protocol necessarily relies on the
violation of a Bell inequality. We discuss the issue of loopholes in Bell
experiments in this context.Comment: 25 pages, 3 figure
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