Some Open Problems in Quantum Information Theory

Abstract

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.

All updates will appear on http://www.imaph.tu-bs.de/qi/problems/

Cited by in corpus (24)

• Contextuality in Measurement-based Quantum Computation
• On the Relationship between Convex Bodies Related to Correlation Experiments with Dichotomic Observables
• Entanglement universality of two-qubit X-states
• Efficiency of higher dimensional Hilbert spaces for the violation of Bell inequalities
• Increasing relative nonclassicality quantified by standard entanglement potentials by dissipation and unbalanced beam splitting
• Inequalities that Collectively Completely Characterize the Catalytic Majorization Relation
• Real Mutually Unbiased Bases
• Nonadditivity effects in classical capacities of quantum multiple-access channels
• Quantifying entanglement of a two-qubit system via measurable and invariant moments of its partially transposed density matrix
• Difficulties in analytic computation for relative entropy of entanglement
• Bell inequalities stronger than the CHSH inequality for 3-level isotropic states
• Direct method for measuring and witnessing quantum entanglement of arbitrary two-qubit states through Hong-Ou-Mandel interference
• Undecidability in Tensor Network States
• Distillable entanglement under dually non-entangling operations
• Mutually Unbiased Bases and Orthogonal Decompositions of Lie Algebras
• Norms and Cones in the Theory of Quantum Entanglement
• Quantum discord of 2n-dimensional Bell-diagonal states
• Paradoxes of measures of quantum entanglement and Bell's inequality violation in two-qubit systems
• REE From EOF
• Digital Simulation of Single Qubit Markovian Open Quantum Systems: A Tutorial
• Correlations, Bell Inequality Violation & Quantum Entanglement
• State convertibility under genuinely incoherent operations
• A new approach to characterize qubit channels
• Generating facets for the cut polytope of a graph by triangular elimination