8 citations · 29 across the 17 of their papers we have counts for
8 papers · 1 filter
Operator system characterizations of SIC-POVMs and mutually unbiased bases
Travis B. Russell
We show that a symmetric informationally-complete positive operator-valued measure exists in a given dimension if and only if there exists a -dimensional operator system s…
Synchronous Values of Games
J. William Helton, Hamoon Mousavi, Seyed Sajjad Nezhadi +2
We study synchronous values of games, especially synchronous games. It is known that a synchronous game has a perfect strategy if and only if it has a perfect synchronous strategy.…
A synchronous NPA hierarchy with applications
Travis B. Russell
We present an adaptation of the NPA hierarchy to the setting of synchronous correlation matrices. Our adaptation improves upon the original NPA hierarchy by using smaller certifica…
A Universal Representation for Quantum Commuting Correlations
Roy Araiza, Travis Russell, Mark Tomforde
We explicitly construct an Archimedean order unit space whose state space is affinely isomorphic to the set of quantum commuting correlations. Our construction only requires fundam…
Maximally entangled correlation sets
Elie Alhajjar, Travis Russell
We study the set of quantum correlations generated by actions on maximally entangled states. We show that such correlations are dense in their own convex hull. As a consequence, we…
No quantum Ramsey theorem for stabilizer codes
Yannis Bousba, Travis B. Russell
In this paper we study the quantum graphs of mixed-unitary channels generated by tensor products of Pauli operators, which we call Pauli channels. We show that most quantum graphs…
Geometry of the set of synchronous quantum correlations
Travis B. Russell
We provide a complete geometric description of the set of synchronous quantum correlations for the three experiment two outcome scenario. We show that these correlations form a clo…
The exact synthesis of 1- and 2-qubit Clifford+T circuits
Travis Russell
We describe a new method for the decomposition of an arbitrary qubit operator with entries in , i.e., of the form $(a+b\sqrt{2}+i(c+d\sqrt{2})…