45 citations · 128 across the 17 of their papers we have counts for
19 papers
A short proof that
Samuel Harris, Zion Hefty, Paul Horn +2
We give a nibble-free construction proving . We also include Shearer's proof bounding the independence number of a triangle-free graph, which impli…
Ubiquity of counterexamples to the Smith-Ward problem
Samuel J. Harris
The Smith-Ward problem about matrix ranges, posed in the 1980s, was recently resolved in the negative by Marcel Scherer (arXiv:2607.04274) by obtaining a three-dimensional operator…
Self-testing of exact entanglement embezzlement
Samuel J. Harris
We consider bipartite exact entanglement embezzlement with a catalyst state vector in a Hilbert space using unitaries (or more generally, contractions). If $\math…
Four-dimensional operator systems without the lifting property
Samuel J. Harris
The purpose of this note is to provide a family of explicit examples of -dimensional operator systems contained in the Calkin algebra on a separable i…
Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem
Samuel J. Harris
We prove that, to each synchronous non-local game with and , there is an associated graph for which approximate winning strategies…
Universality of graph homomorphism games and the quantum coloring problem
Samuel J. Harris
We show that quantum graph parameters for finite, simple, undirected graphs encode winning strategies for all possible synchronous non-local games. Given a synchronous game $\mathc…
Quantum no-signalling bicorrelations
Michael Brannan, Samuel J. Harris, Ivan G. Todorov +1
We introduce classical and quantum no-signalling bicorrelations and characterise the different types thereof in terms of states on operator system tensor products, exhibiting conne…
Crossed Product Equivalence of Quantum Automorphism Groups
Michael Brannan, Floris Elzinga, Samuel J. Harris +1
We compare the algebras of the quantum automorphism group of finite-dimensional C-algebra , which includes the quantum permutation group , where . We s…
Synchronous games with -isomorphic game algebras
Samuel J. Harris
We establish several strong equivalences of synchronous non-local games, in the sense that the corresponding game algebras are -isomorphic. We first show that the game algebra o…
Synchronicity for quantum non-local games
Michael Brannan, Samuel J. Harris, Ivan G. Todorov +1
We introduce concurrent quantum non-local games, quantum output mirror games and concurrent classical-to-quantum non-local games, as quantum versions of synchronous non-local games…
The quantum-to-classical graph homomorphism game
Michael Brannan, Priyanga Ganesan, Samuel J. Harris
Motivated by non-local games and quantum coloring problems, we introduce a graph homomorphism game between quantum graphs and classical graphs. This game is naturally cast as a "qu…
Bigalois extensions and the graph isomorphism game
Michael Brannan, Alexandru Chirvasitu, Kari Eifler +4
We study the graph isomorphism game that arises in quantum information theory from the perspective of bigalois extensions of compact quantum groups. We show that every algebraic qu…
Schur multipliers and mixed unitary maps
Samuel J. Harris, Rupert H. Levene, Vern I. Paulsen +2
We consider the tensor product of the completely depolarising channel on matrices with the map of Schur multiplication by a correlation matrix and characte…
Bipartite matrix-valued tensor product correlations that are not finitely representable
Samuel J. Harris
We consider the matrix-valued generalizations of bipartite tensor product quantum correlations and bipartite infinite-dimensional tensor product quantum correlations, respectively.…
Crossed products of operator systems
Samuel J. Harris, Se-Jin Kim
In this paper we introduce the crossed product construction for a discrete group action on an operator system. In analogy to the work of E. Katsoulis and C. Ramsey, we describe thr…
Quantum Teleportation and Super-dense Coding in Operator Algebras
Li Gao, Samuel J. Harris, Marius Junge
Let be the unital -algebra generated by the elements , satisfying the relations that is a unitary operator, and let…
Connes' Embedding Problem and Winning Strategies for Quantum XOR Games
Samuel J. Harris
We consider quantum XOR games, defined in [11], from the perspective of unitary correlations defined in [7]. We show that Connes' embedding problem has a positive answer if and onl…
Unitary Correlation Sets
Samuel J. Harris, Vern I. Paulsen
The unitary correlation sets defined by the first author in conjunction with tensor products of are further studied. We show that Connes' embedding problem is…
A Non-Commutative Unitary Analogue of Kirchberg's Conjecture
Samuel J. Harris
The -algebra is the universal -algebra generated by generators that make up a unitary matrix. We prove that Kirchberg's for…