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Efficient Preparation of Cyclic Quantum States

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On the -Betti numbers of universal quantum groups

Sven Raum

We show that the first -Betti number of the duals of the free unitary quantum groups is one, and that all -Betti numbers vanish for the duals of the quantum automorphism groups of full matrix algebras. ...

Springer Heidelberg2017

A Fast Hadamard Transform for Signals with Sub-linear Sparsity in the Transform Domain

Martin Vetterli, Robin Scheibler, Saeid Haghighatshoar

In this paper, we design a new iterative low-complexity algorithm for computing the Walsh-Hadamard transform (WHT) of an N dimensional signal with a K-sparse WHT. We suppose that N is a power of two and K = O(N^α), scales sub-linearly in N for some α ∈ (0, ...

Institute of Electrical and Electronics Engineers2015

Accelerating quantum instanton calculations of the kinetic isotope effects

Jiri Vanicek, Konstantin Karandashev

Path integral implementation of the quantum instanton approximation currently belongs among the most accurate methods for computing quantum rate constants and kinetic isotope effects, but its use has been limited due to the rather high computational cost. ...

American Institute of Physics2015

Beating the Efficiency of Both Quantum and Classical Simulations with a Semiclassical Method

Jiri Vanicek, Cesare Mollica

While rigorous quantum dynamical simulations of many-body systems are extremely difficult (or impossible) due to exponential scaling with dimensionality, the corresponding classical simulations ignore quantum effects. Semiclassical methods are generally mo ...

American Physical Society2011

Graph Theory Meets Ab Initio Molecular Dynamics: Atomic Structures and Transformations at the Nanoscale

Wanda Andreoni, Fabio Pietrucci

Social permutation invariant coordinates are introduced describing the bond network around a given atom. They originate from the largest eigenvalue and the corresponding eigenvector of the contact matrix, are invariant under permutation of identical atoms, ...

2011

Additive Combinatorics and Discrete Logarithm Based Range Protocols

Rafik Chaabouni, Helger Lipmaa

We show how to express an arbitrary integer interval

I = [0, H]

as a sumset

I = \sum_{i=1}^\ell G_i * [0, u - 1] + [0, H']

of smaller integer intervals for some small values

\ell

u

, and

H' < u - 1

, where

b * A = \{b a : a \in A\}

and $A + B = ...

Springer2010

Device-independent state estimation based on Bell's inequalities

Timothy Chi Hin Liew

The only information available about an alleged source of entangled quantum states is the amount S by which the Clauser-Horne-Shimony-Holt inequality is violated: nothing is known about the nature of the system or the measurements that are performed. We di ...

2009

Segmenting memory colours

Sabine Süsstrunk, Francisco Estrada

Memory colours refer to the colour of specific image classes that have the essential attribute of being perceived in a consistent manner by human observers. In colour correction or rendering tasks, this consistency implies that they have to be faithfully r ...

2008

A multiple birthday attack on NTRU

In this paper we view the possibilities to lance a multiple (iterative) birthday attack on NTRU. Recently Wagner's algorithm for the generalized birthday problem (Wagner, 2002) allowed to speed-up several combinatorial attacks. However, in the case of NTRU ...

Insticc-Inst Syst Technologies Information Control & Communication, Avenida D Manuel L, 27A 2 Esquerdo, Setubal, 2910-595, Portugal2008

Tracking Atoms with Particles for Audio-visual Source Localization

Pierre Vandergheynst, Andrea Cavallaro, Gianluca Monaci, Emilio Maggio

We present a general framework and an efficient algorithm for tracking relevant video structures. The structures to be tracked are implicitly defined by a Matching Pursuit procedure that extracts and ranks the most important image contours. Based on the ra ...

2007