35 citations · 79 across the 10 of their papers we have counts for
4 papers · 1 filter
Matrix N-dilations of quantum channels
Jeremy Levick, Robert T. W. Martin
We study unital quantum channels which are obtained via partial trace of a -automorphism of a finite unital matrix -algebra. We prove that any such channel, , on a unital…
Jumping champions and prime gaps using information-theoretic tools
Nicholas Pun, Robert T. W. Martin, Achim Kempf
We study the spacing of the primes using methods from information theory. In information theory, the equivalence of continuous and discrete representations of information is establ…
Operators affiliated to the free shift on the free Hardy space
Michael T. Jury, Robert T. W. Martin
The Smirnov class for the classical Hardy space is the set of ratios of bounded analytic functions on the open complex unit disk with outer denominators. This definition extends na…
The Smirnov classes for the Fock space and complete Pick spaces
Michael T. Jury, Robert T. W. Martin
For a Hilbert function space the Smirnov class is defined to be the set of functions expressible as a ratio of bounded multipliers of $\math…