6 citations · 6 across the 9 of their papers we have counts for
11 papers
Path Covering Spaces of Posets
Matteus Froese, Ian George
In this paper we extend results concerning a kind of covering space for finite posets that bears some analogy to the topological theory of covering spaces. Previous work focused on…
Conditional contraction coefficients and their applications to quantum networks
Christoph Hirche, Ian George, Theshani Nuradha +1
Contraction coefficients quantify the loss of distinguishability induced by a channel and provide a strong form of the data-processing inequality. While standard contraction coeffi…
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…
Quantum Doeblin Coefficients: Interpretations and Applications
Ian George, Christoph Hirche, Theshani Nuradha +1
In classical information theory, the Doeblin coefficient of a classical channel provides an efficiently computable upper bound on the total-variation contraction coefficient of the…
Experimental asymmetric relativistic zero-knowledge proofs with unconditional security
Chen-Xun Weng, Ming-Yang Li, Nai-Rui Xu +6
Zero-knowledge proofs (ZKPs) are widely applied in digital economies, such as cryptocurrencies and smart contracts, for establishing trust and privacy between untrusted parties. Cl…
Finite-size analysis of prepare-and-measure and decoy-state QKD via entropy accumulation
Lars Kamin, Amir Arqand, Ian George +2
An important goal in quantum key distribution (QKD) is the task of providing a finite-size security proof without the assumption of collective attacks. For prepare-and-measure QKD,…