On mutually unbiased bases

T Durt, BG Englert, I Bengtsson… - International journal of …, 2010 - World Scientific
Mutually unbiased bases for quantum degrees of freedom are central to all theoretical
investigations and practical exploitations of complementary properties. Much is known about …

Decoherence in quantum walks–a review

V Kendon - Mathematical structures in computer science, 2007 - cambridge.org
The development of quantum walks in the context of quantum computation, as
generalisations of random walk techniques, has led rapidly to several new quantum …

Universal linear optics

J Carolan, C Harrold, C Sparrow, E Martín-López… - Science, 2015 - science.org
Linear optics underpins fundamental tests of quantum mechanics and quantum
technologies. We demonstrate a single reprogrammable optical circuit that is sufficient to …

[LIVRE][B] Geometry of quantum states: an introduction to quantum entanglement

I Bengtsson, K Życzkowski - 2017 - books.google.com
Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

[LIVRE][B] An introduction to finite tight frames

SFD Waldron - 2018 - Springer
This book gives a unified introduction to the rapidly develo** area of finite tight frames.
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …

[LIVRE][B] Hadamard matrices and their applications

KJ Horadam - 2012 - books.google.com
In Hadamard Matrices and Their Applications, KJ Horadam provides the first unified account
of cocyclic Hadamard matrices and their applications in signal and data processing. This …

Interacting quantum observables: categorical algebra and diagrammatics

B Coecke, R Duncan - New Journal of Physics, 2011 - iopscience.iop.org
This paper has two tightly intertwined aims:(i) to introduce an intuitive and universal
graphical calculus for multi-qubit systems, the ZX-calculus, which greatly simplifies …

Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices

D Goyeneche, D Alsina, JI Latorre, A Riera… - Physical Review A, 2015 - APS
Absolutely maximally entangled (AME) states are those multipartite quantum states that
carry absolute maximum entanglement in all possible bipartitions. AME states are known to …

Single-scan multidimensional magnetic resonance

A Tal, L Frydman - Progress in nuclear magnetic resonance spectroscopy, 2010 - Elsevier
Nuclear Magnetic Resonance (NMR, also known as Magnetic Resonance Spectroscopy;
MRS, in an in-vivo setting) enables one to probe the structure and dynamics of matter in a …

Maximum velocity quantum circuits

PW Claeys, A Lamacraft - Physical Review Research, 2020 - APS
We consider the long-time limit of out-of-time-order correlators (OTOCs) in two classes of
quantum lattice models with time evolution governed by local unitary quantum circuits and …