Optimality and uniqueness of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mo stretchy="false">(</mml:mo><mml:mn>4</mml:mn><mml:mo>,</mml:mo><mml:mn>10</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>6</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> spherical code

Quantum key distribution protocols based on equiangular spherical codes are introduced and their behavior under the intercept/resend attack investigated. Such protocols offer a greater range of secure noise tolerance and speed options than protocols based on their cousins, the mutually-unbiased bases, while also enabling the determination of the channel noise rate without the need to sacrifice key bits. For fixed number of signal states in a given dimension, the spherical code protocols offer Alice and Bob more noise tolerance at the price of slower key generation rates.

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Designing Single- and Multiple-Shell Sampling Schemes for Diffusion MRI Using Spherical Code

Medical Image Computing and Computer-Assisted Intervention – MICCAI 2014 - Lecture Notes in Computer Science ◽

10.1007/978-3-319-10443-0_36 ◽

2014 ◽

pp. 281-288 ◽

Cited By ~ 9

Author(s):

Jian Cheng ◽

Dinggang Shen ◽

Pew-Thian Yap

Keyword(s):

Diffusion Mri ◽

Sampling Schemes ◽

Spherical Code

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Thermo-Chemical Convection in Planetary Mantles

Integrated Information and Computing Systems for Natural, Spatial, and Social Sciences ◽

10.4018/978-1-4666-2190-9.ch015 ◽

2012 ◽

pp. 302-323 ◽

Cited By ~ 4

Author(s):

Ana-Catalina Plesa ◽

Nicola Tosi ◽

Christian Hüttig

Keyword(s):

Large Scale ◽

Particle Method ◽

Primary Process ◽

Spherical Code ◽

Benchmark Tests ◽

Eulerian Method ◽

Diffusive Convection ◽

Magma Oceans ◽

Double Diffusive ◽

Surface Observations

Thermo-chemical convection is the primary process that controls the large-scale dynamics of the mantle of the Earth and terrestrial planets. Its numerical simulation is one the principal tools for exploiting the constraints posed by geological and geochemical surface observations performed by planetary spacecrafts. In the present work, the authors discuss the modeling of active compositional fields in the framework of solid-state mantle convection using the cylindrical/spherical code Gaia. They compare an Eulerian method based on double-diffusive convection against a Lagrangian, particle-based method. Through a series of increasingly complex benchmark tests, the authors show the superiority of the particle method when it comes to model the advection of compositional interfaces with sharp density and viscosity contrasts. They finally apply this technique to simulate the Rayleigh-Taylor overturn of the Mars’ and Mercury’s primordial magma oceans.

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