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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
Regional Finance and Regional Disparities in China
China’s growth has been spectacularly high and persistent over the last few decades. However, there have been regular expressions of concern about the uneven distribution of the benefits across regions and, at times, it has been asserted that the regional distribution of available investment funds has played an important role – national financial institutions (mainly state-owned banks) have redirected deposits from the inland to loans to large institutions in the more prosperous coastal regions. At the same time, smaller regionally-focussed institutions are likely to improve the distribution of funds. We use a panel data set disaggregated by province for the years 1986 to 2004 to test these propositions. We employ recent panel unit roots and cointegration tests using data for state-owned bank loans as well as loans by rural credit cooperatives. We find that financial disparities are related to output disparities, that this relationship is positive, that it is stronger for rural credit cooperatives than for state-owned banks and that this relationship is causal in both the long and short runs. A reduction in financial disparities can be expected to lead a narrowing of output disparities in the short run and in the long run with the effect being larger for rural credit cooperatives than for state-owned commercial banks.regional disparities, panel econometrics, regional finance, China
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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