1,801 research outputs found
Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities
Quantum theory has the intriguing feature that is inconsistent with
noncontextual hidden variable models, for which the outcome of a measurement
does not depend on which other compatible measurements are being performed
concurrently. While various proofs of such contextual behavior of quantum
systems have been established, relatively little is known concerning the
possibility to demonstrate this intriguing feature for indistinguishable
particles. Here, we show in a simple and systematic manner that with projective
measurements alone, it is possible to demonstrate quantum contextuality for
such systems of arbitrary Hilbert space dimensions, including those
corresponding to a qubit. Our demonstration is applicable to a single fermion
as well as multiple fermions, and thus also a composite boson formed from an
even number of fermions. In addition, our approach gives a clear demonstration
of the intimate connection between complementarity and contextuality, two
seemingly unrelated aspects of quantum theory.Comment: 9 pages, no figure; Major changes; More changes. Accepted in
Scientific Report
State-independent contextuality sets for a qutrit
We present a generalized set of complex rays for a qutrit in terms of
parameter , a -th root of unity. Remarkably, when ,
the set reduces to two well known state-independent contextuality (SIC) sets:
the Yu-Oh set and the Bengtsson-Blanchfield-Cabello set. Based on the
Ramanathan-Horodecki criterion and the violation of a noncontextuality
inequality, we have proven that the sets with and are SIC, while
the set with is not. Our generalized set of rays will theoretically
enrich the study of SIC proof, and experimentally stimulate the novel
application to quantum information processing.Comment: 4 pages, 2 figures; revised versio
A Technological Catching-Up Model of Modularized Industry in Developing Countries
This article discussed the technological catching-up problem of modularized industry in developing countries. Firstly, this article analysed the relationship between technical level, technology learning capability, technological innovation capability and technological capability; then, stated that the technological catching-up of modularized industry in developing countries is the integration of catching-up in technical level and technological capability. After comparing the developing mode of modularized industries in developing countries with that in developed countries, this article puts forward a technological catching-up model of modularized industry in developing countries
Sharp Contradiction for Local-Hidden-State Model in Quantum Steering
In quantum theory, no-go theorems are important as they rule out the
existence of a particular physical model under consideration. For instance, the
Greenberger-Horne-Zeilinger (GHZ) theorem serves as a no-go theorem for the
nonexistence of local hidden variable models by presenting a full contradiction
for the multipartite GHZ states. However, the elegant GHZ argument for Bell's
nonlocality does not go through for bipartite Einstein-Podolsky-Rosen (EPR)
state. Recent study on quantum nonlocality has shown that the more precise
description of EPR's original scenario is "steering", i.e., the nonexistence of
local hidden state models. Here, we present a simple GHZ-like contradiction for
any bipartite pure entangled state, thus proving a no-go theorem for the
nonexistence of local hidden state models in the EPR paradox. This also
indicates that the very simple steering paradox presented here is indeed the
closest form to the original spirit of the EPR paradox.Comment: 9 pages. Revised version for Scientific Report
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