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Doherty, J.F.; Michaud, Gerard J.; Sonsteby, A. G.

doi:10.1023/a:1013909614688

Cited by 2 publications

(3 citation statements)

References 5 publications

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“…The concepts of k-extendable and separable states turn out to correspond naturally to SDP hierarchies for polynomial optimization, and thus we are able to prove convergence of these hierarchies for polynomials that correspond to LOCC measurements. This connection was first established by Doherty, Parrilo and Spedalieri [43], and was more recently made quantitative for general polynomials over the unit sphere in R n by Doherty and Wehner [44,45].…”

Section: Polynomial Optimization and Sum-of-squares Proofsmentioning

confidence: 93%

Quantum de finetti theorems under local measurements with applications

Brandão

Harrow

2013

Proceedings of the Forty-Fifth Annual ACM Symposium on Theory of Computing

108

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Quantum de Finetti theorems are a useful tool in the study of correlations in quantum multipartite states. In this paper we prove two new quantum de Finetti theorems, both showing that under tests formed by local measurements in each of the subsystems one can get a much improved error dependence on the dimension of the subsystems. We also obtain similar results for non-signaling probability distributions. We give the following applications of the results to quantum complexity theory, polynomial optimization, and quantum information theory: 7 The one-way LOCC norm is defined as X LOCC ← = max 0≤M ≤I tr(XM ), with the the maximization over all POVMs {M, I − M } that can be realized by local operations and one-way classical communication from B to A.

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Section: Polynomial Optimization and Sum-of-squares Proofsmentioning

confidence: 93%

Quantum de finetti theorems under local measurements with applications

Brandão

Harrow

2013

Proceedings of the Forty-Fifth Annual ACM Symposium on Theory of Computing

108

View full text Add to dashboard Cite

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“…The snow was stored in plastic bags and kept frozen during the trip until we stopped to filter the samples. The influence of the plastic bags on the composition analysis is negligible (Doherty 2012). The vertical profiles of snow density were also measured for a depth of 5 cm of each layer downward while the temperatures were measured at the center of each layer.…”

Section: Field Campaignmentioning

confidence: 99%

“…BC content has been reported for snow and ice core in numerous glaciers on the Tibetan Plateau and in the Tianshan Mountains, using the thermo-optical (controlled-combustion) method (Ming et al 2008, 2009a, 2009b, Xu et al 2006, 2012. The derived BC contents range from 4 to 141 ng g −1 (Ming et al 2012).…”

Section: Bc Distribution With Altitudementioning

confidence: 99%

Black carbon in seasonal snow across northern Xinjiang in northwestern China

Zhang

Shi

et al. 2012

Environ. Res. Lett.

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Black carbon (BC) particles in snow can significantly reduce the snow albedo and enhance the absorption of solar radiation, with important impacts on climate and the hydrological cycle. A field campaign was carried out to measure the BC content in seasonal snow in Qinghai and Xinjiang provinces of western China, in January and February 2012. 284 snow samples were collected at 38 sites, 6 in Qinghai and 32 in Xinjiang. The observational results at the sites in Xinjiang, where the absorbing impurities in snow are dominated by BC particles, are reported in this work. The BC mass fractions in seasonal snow across northern Xinjiang have a median value of ∼70 ng g −1 , much lower than those in northeast China. The estimated concentration of BC at the cleanest site in Xinjiang is 20 ng g −1 , which is similar to that found along the coast of the Arctic Ocean. It is found that the BC content of snow decreases with altitude. Taking into account this altitude dependence, our measured BC contents in snow are consistent with a recent measurement of BC in winter snow on Tianshan glacier. The data from this field campaign should be useful for testing transport models and climate models for the simulated BC in snow.

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Cited by 2 publications

References 5 publications

Quantum de finetti theorems under local measurements with applications

Quantum de finetti theorems under local measurements with applications

Black carbon in seasonal snow across northern Xinjiang in northwestern China

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