Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0708.1902

Some Open Problems in Quantum Information Theory

Mary Beth Ruskai

Published Aug 14, 2007• 17 citations
arXivHTMLPDF

Abstract

Some open questions in quantum information theory (QIT) are described. Most of them were presented in Banff during the BIRS workshop on Operator Structures in QIT 11-16 February 2007. New material has been added in view of the recent counter-examples to p-norm multiplicativity.
DOI
10.48550/arxiv.0708.1902

Related papers

Open Problems in Quantum Information Theory

Mary Beth Ruskai

Some open questions in quantum information theory (QIT) are described. Most of them were presented in Ban

•Jan 1, 2007•12 citations

Quantum Information and Symmetry

W. Leoński, Joanna K. Kalaga, Radosław Szczȩśniak

Recent research in the fields related to the quantum information theory (QIT) is becoming some of the most intriguing and promising investigations in contemporary physics. Many novel QIT concepts are discussed in the literature, and the broad range of new models of quantum optics and solid-state physics have been recently considered in the context of QIT. Theideas of symmetry are widely discussed in all physical sciences, becoming keystones of various concepts and considerations, leading to novel discoveries in physics. Thus, this Special Issue is devoted to the broad range of QIT topics that are related to the ideas of symmetry. It covers a broad range of ideas that can develop upon the basic research and applications in the field of quantum information, and in general, quantum theory.

MDPI eBooks•Jun 3, 2020•2 citations

Information-theoretic aspects of quantum channel discrimination

Mark M. Wilde

I will give an overview of quantum channel discrimination, reviewing the task, its operational significance, connections to other information-theoretic tasks like communication and estimation, and progress in establishing characterizations and bounds on error exponents. Inevitably, quantum effects and additivity issues arise in quantum channel discrimination, revealing fundamental differences between classical and quantum information. Delivered as a talk at "Additivity Problems in Quantum and Classical Information Theory", held at Banff International Research Station during July 12-17, 2026

•Jul 17, 2026•0 citations

A SURVEY OF COMPLETELY BOUNDED MAPS

Vern I. Paulsen

These notes are an expanded version of my talk at the con- ference on Operator Structures in Quantum Information Theory at the Ban International Research Station on February 13, 2007. They are intended to give an introduction to some of the topics in the theory of operator spaces and completely bounded maps that might be useful for researchers in quantum information theory

•Jan 1, 2007•2 citations

Positive-partial-transpose square conjecture for n=3

Lin Chen, Yang Yu, Wai-Shing Tang

We present the positive-partial-transpose (PPT) square conjecture introduced by M. Christandl Banff International Research Station Workshop: Operator Structures in Quantum Information Theory (Banff International Research Station, Alberta, 2012). We prove the conjecture in the case $n=3$ as a consequence of the fact that two-qutrit PPT states have Schmidt number of at most 2. The PPT square conjecture in the case of $n\ensuremath{\ge}4$ is still open. We present an example to support the conjecture for $n=4$.

arXiv:1807.03636•Physical Review A•Jan 22, 2019•20 citations

Some Open Problems in Quantum Information Theory

Olaf Krueger, Reinhard F. Werner

This article is a snap-shot of a web site, which has been collecting open problems in quantum information for several years, and documenting the progress made on these problems. By posting it we make the complete collection available in one printout. We also hope to draw more attention to this project, inviting every researcher in the field to raise to the challenges, but also to suggest new problems.

arXiv:quant-ph/0504166•Apr 21, 2005•36 citations
Recent research in the fields related to the quantum information theory (QIT) is becoming some of the most intriguing and promising investigations in contemporary physics. Many novel QIT concepts are discussed in the literature, and the broad range of new models of quantum optics and solid-state physics have been recently considered in the context of QIT. Theideas of symmetry are widely discussed in all physical sciences, becoming keystones of various concepts and considerations, leading to novel discoveries in physics. Thus, this Special Issue is devoted to the broad range of QIT topics that are related to the ideas of symmetry. It covers a broad range of ideas that can develop upon the basic research and applications in the field of quantum information, and in general, quantum theory.
I will give an overview of quantum channel discrimination, reviewing the task, its operational significance, connections to other information-theoretic tasks like communication and estimation, and progress in establishing characterizations and bounds on error exponents. Inevitably, quantum effects and additivity issues arise in quantum channel discrimination, revealing fundamental differences between classical and quantum information. Delivered as a talk at "Additivity Problems in Quantum and Classical Information Theory", held at Banff International Research Station during July 12-17, 2026
We present the positive-partial-transpose (PPT) square conjecture introduced by M. Christandl Banff International Research Station Workshop: Operator Structures in Quantum Information Theory (Banff International Research Station, Alberta, 2012). We prove the conjecture in the case n=3n=3n=3 as a consequence of the fact that two-qutrit PPT states have Schmidt number of at most 2. The PPT square conjecture in the case of $n\ensuremath{\ge}4$ is still open. We present an example to support the conjecture for n=4n=4n=4.