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- Ashley Montanaro, Tobias Osborne
- ArXiv
- 2009

An XOR function is a function of the form g(x, y) = f(x ⊕ y), for some boolean function f on n bits. We study the quantum and classical communication complexity of XOR functions. In the case of exact protocols, we completely characterise one-way communication complexity for all f . We also show that, when f is monotone, g’s quantum and classical… (More)

- Christopher M. Dawson, Andrew P. Hines, Duncan Mortimer, Henry L. Haselgrove, Michael A. Nielsen, Tobias Osborne
- Quantum Information & Computation
- 2005

- James William Harrington, John Preskill, +61 authors Frank Reyes
- 2004

Quantum information theory is concerned with identifying how quantum mechanical resources (such as entangled quantum states) can be utilized for a number of information processing tasks, including data storage, computation, communication, and cryptography. Efficient quantum algorithms and protocols have been developed for performing some tasks (e.g.,… (More)

- Ashley Montanaro, Tobias Osborne
- Chicago J. Theor. Comput. Sci.
- 2010

In this paper we introduce the study of quantum boolean functions, which are unitary operators f whose square is the identity: f = I. We describe several generalisations of well-known results in the theory of boolean functions, including quantum property testing; a quantum version of the Goldreich-Levin algorithm for finding the large Fourier coefficients… (More)

- R Nazikian, C Paz-Soldan, +22 authors M R Wade
- Physical review letters
- 2015

Rapid bifurcations in the plasma response to slowly varying n=2 magnetic fields are observed as the plasma transitions into and out of edge-localized mode (ELM) suppression. The rapid transition to ELM suppression is characterized by an increase in the toroidal rotation and a reduction in the electron pressure gradient at the top of the pedestal that… (More)

A stochastic magnetic boundary, produced by an applied edge resonant magnetic perturbation, is used to suppress most large edge-localized modes (ELMs) in high confinement (H-mode) plasmas. The resulting H mode displays rapid, small oscillations with a bursty character modulated by a coherent 130 Hz envelope. The H mode transport barrier and core confinement… (More)

- R Scannell, M Beurskens, +4 authors T H Osborne
- The Review of scientific instruments
- 2011

Deconvolution of Thomson scattering (TS) profiles is required when the gradient length of the electron temperature (T(e)) or density (n(e)) are comparable to the instrument function length (Δ(R)). The most correct method for deconvolution to obtain underlying T(e) and n(e) profiles is by consideration of scattered signals. However, deconvolution at the… (More)

- L Frassinetti, M N A Beurskens, +6 authors M Walsh
- The Review of scientific instruments
- 2012

The instrument function of the high resolution Thomson scattering (HRTS) diagnostic in the Joint European Torus (JET) has been calculated for use in improved pedestal profile analysis. The full width at half maximum (FWHM) of the spatial instrument response is (22 ± 1) mm for the original HRTS system configuration and depends on the particular magnetic… (More)

- Tobias Osborne
- Quantum Information & Computation
- 2007

In this paper we study the problem of calculating the convex hull of certain affine algebraic varieties. As we explain, the motivation for considering this problem is that certain pure-state measures of quantum entanglement, which we call polynomial entanglement measures, can be represented as affine algebraic varieties. We consider the evaluation of… (More)

Good alignment of the magnetic field line pitch angle with the mode structure of an external resonant magnetic perturbation (RMP) field is shown to induce modulation of the pedestal electron pressure p(e) in high confinement high rotation plasmas at the DIII-D tokamak with a shape similar to ITER, the next step tokamak experiment. This is caused by an edge… (More)