A Concise Guide to Complex Hadamard Matrices-Reference-Cited by-同舟云学术

A Concise Guide to Complex Hadamard Matrices

Published:2006-06 Issue:02 Volume:13 Page:133-177
ISSN:1230-1612
Container-title:Open Systems & Information Dynamics
language:en
Short-container-title:Open Syst. Inf. Dyn.

Author:

Tadej Wojciech¹,Życzkowski Karol²³

Affiliation:

1. Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University, Warsaw, Poland

2. Institute of Physics, Jagiellonian University, Kraków, Poland

3. Center for Theoretical Physics, Polish Academy of Sciences, Warsaw, Poland

Abstract

Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an important role in the theory of quantum information. We review basic properties of complex Hadamard matrices and present a catalogue of inequivalent cases known for the dimensions N = 2,…,16. In particular, we explicitly write down some families of complex Hadamard matrices for N = 12, 14 and 16, which we could not find in the existing literature.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1007/s11080-006-8220-2

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