6 papers
Local Distinguishability of Multipartite Orthogonal Quantum States: Generalized and Simplified
Ian George, Mohammad A. Alhejji
In a seminal work [PRL85.4972], Walgate, Short, Hardy, and Vedral prove in finite dimensions that for every pair of pure multipartite orthogonal quantum states, there exists a one-…
Information Contraction under -Differentially Private Mechanisms
Theshani Nuradha, Ian George, Christoph Hirche
The distinguishability quantified by information measures after being processed by a private mechanism has been a useful tool in studying various statistical and operational tasks…
Non-Linear Strong Data-Processing for Quantum Hockey-Stick Divergences
Theshani Nuradha, Ian George, Christoph Hirche
Data-processing is a desired property of classical and quantum divergences and information measures. In information theory, the contraction coefficient measures how much the distin…
The Generalized Interval Polynomial of a Poset
Ian George, Karen Yeats
For any finite poset we define a generating polynomial counting upsets, downsets, and their intersection. We investigate the behaviour of this polynomial with respect to poset oper…
The Degree Polynomial
Jason I. Brown, Ian C. George
The degree polynomial of a multigraph is given by $\sum _{v \in V(G)} x^{\mbox{deg}(v)}$. We investigate here properties of the roots of such polynomials. In addition to examin…
A Unified Approach to Quantum Contraction and Correlation Coefficients
Ian George, Marco Tomamichel
The maximal correlation coefficient measures the linear correlation in a bipartite distribution and contraction coefficients measure how much information is lost under a noisy chan…