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Relevant bibliographies by topics / Average measure of entanglement

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Academic literature on the topic 'Average measure of entanglement'

Author: Grafiati

Published: 1 February 2025

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Books on the topic "Average measure of entanglement"

1

Everett, J. R. A report on experiments to measure average fibre diameters by optical fourier analysis. Commonwealth Scientific and Industrial Research Organization, 1986.

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2

Lei, Pui-Wa. Alternatives to the grade point average as a measure of academic achievement in college. ACT, Inc., 2001.

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Lei, Pui-Wa. Alterntives to the grade point average as a measure of academic achievement in college. ACT, Inc., 2001.

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4

(Editor), John A. Prestbo, ed. The Market's Measure: An Illustrated History of America Told Through the Dow Jones Industrial Average. Dow Jones & Company, Inc., 1999.

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5

Van Olmen, Daniël, and Johan Van Der Auwera. Modality and Mood in Standard Average European. Edited by Jan Nuyts and Johan Van Der Auwera. Oxford University Press, 2015. http://dx.doi.org/10.1093/oxfordhb/9780199591435.013.11.

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The chapter discusses the research on the features of the mood and modality systems of European languages that stand a chance of being due to some measure of the areal convergence captured with the term “Standard Average European.” These features are: (i) the compositional nature of the prohibitive, (ii) the number of non-indicative non-imperative moods, (iii) the relation between canonical and non-canonical imperatives, (iv) the use of word order for the interrogative, the (v) multifunctionality, (vi) verbiness, and (vii) grammaticalization of modal markers. While all of these characterize European languages, only features (i), (v), (vi), and (vii) are potential Standard Average European features.

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6

Beenakker, Carlo W. J. Extreme eigenvalues of Wishart matrices: application to entangled bipartite system. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.37.

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This article describes the application of random matrix theory (RMT) to the estimation of the bipartite entanglement of a quantum system, with particular emphasis on the extreme eigenvalues of Wishart matrices. It first provides an overview of some spectral properties of unconstrained Wishart matrices before introducing the problem of the random pure state of an entangled quantum bipartite system consisting of two subsystems whose Hilbert spaces have dimensions M and N respectively with N ≤ M. The focus is on the smallest eigenvalue which serves as an important measure of entanglement between the two subsystems. The minimum eigenvalue distribution for quadratic matrices is also considered. The article shows that the N eigenvalues of the reduced density matrix of the smaller subsystem are distributed exactly as the eigenvalues of a Wishart matrix, except that the eigenvalues satisfy a global constraint: the trace is fixed to be unity.

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Kaboudan, Mak. Computational Spatiotemporal Modeling of Southern California Home Prices. Edited by Shu-Heng Chen, Mak Kaboudan, and Ye-Rong Du. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780199844371.013.13.

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Average quarterly price changes in six contiguous southern California cities are obtained and used, first, to determine if price changes in contiguous cities are spatiotemporally contagious, then to forecast each city’s average prices for four quarters (or one year, 2014). In order to capture the contagious effects, a spatiotemporal contagion response measure is proposed and computed. The measure quantifies the responsiveness of residential home-price changes in one location (or city) to lagged price changes in another location. Average home characteristics (such as square footage and number of bedrooms), as well as lagged average quarterly mortgage rates, lagged average quarterly unemployment rates, and lagged average quarterly price changes of all locations, are input variables used to estimate the response measures and produce price forecasts. Models and forecasts are obtained first using genetic programming then compared to outcomes obtained using linear regressions.

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8

Schreyer, Paul. GDP. Edited by Matthew D. Adler and Marc Fleurbaey. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199325818.013.3.

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GDP is first and foremost a measure of economic activity and production, and distinct from a measure of welfare, even when narrowly defined as material well-being. Despite this difference, GDP and welfare are not unrelated concepts. Links include the scope of final products that enter GDP and the welfare basis of price indices that are used to compute real GDP. Further, the national accounts systematically link GDP with household consumption and income, the key determinants of average material well-being. Last, in measures of intertemporal social welfare, GDP appears through the need to account for future changes in productivity. This chapter also describes efforts to adjust GDP to gauge welfare more directly but concludes that they have not gained traction because there is no well-articulated theory that would indicate the scope and nature of the required adjustments and because GDP is tremendously useful as a measure of production that needs complementing but not substituting.

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9

Gupta, Rajesh. Randomized controlled trial evidence for gabapentin in post-herpetic neuralgia. Edited by Paul Farquhar-Smith, Pierre Beaulieu, and Sian Jagger. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780198834359.003.0069.

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The landmark paper discussed in this chapter is ‘Gabapentin for the treatment of postherpetic neuralgia: A randomized controlled trial’, published by Rowbotham et al. in 1998. In the study, a 4-week initial period of titration of gabapentin (up to a maximum of 3,600 mg) or matching placebo was given, followed by a further 4-week period at the maximum tolerated dose. The primary efficacy measure was change in average daily pain score from start to finish of the treatment, and secondary measures observed were the average daily sleep score, a short-form McGill Pain Questionnaire, the subject’s global impression of change, the investigator-rated clinical global impression of change, the Short Form 36, a quality-of-life questionnaire, and a Profile of Mood States questionnaire. Subjects receiving gabapentin had significant reduction in daily pain scores as well as improvement in secondary measures of pain, although with an increased incidence of side effects.

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10

Sorrentino, Alfonso. Action-Minimizing Invariant Measures for Tonelli Lagrangians. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.003.0003.

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This chapter discusses the notion of action-minimizing measures, recalling the needed measure–theoretical material. In particular, this allows the definition of a first family of invariant sets, the so-called Mather sets. It discusses their main dynamical and symplectic properties, and introduces the minimal average actions, sometimes called Mather's α‎- and β‎-functions. A thorough discussion of their properties (differentiability, strict convexity or lack thereof) is provided and related to the dynamical and structural properties of the Mather sets. The chapter also describes these concepts in a concrete physical example: the simple pendulum.

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