Kraus operators and symmetric groups

Quantum Channels, Kraus Operators, POVMs

3 Quantum Channels 4 3.

Distinguishing quantum operations having few Kraus operators

It is known that entanglement is sometimes helpful in distinguishing between quantum operations, as differences between quantum operations can become magnified when their inputs are entangled with auxiliary systems. This is not true in all situations, however; for example, entanglement with an auxiliary system is not helpful in distinguishing between pairs of unitary operations. This paper esta...

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

homogenous finitary symmetric groups

we characterize strictly diagonal type of embeddings offinitary symmetric groups in terms of cardinality and the characteristic. namely, we prove thefollowing.let $kappa$ be an infinite cardinal. if$g=underset{i=1}{stackrel{infty}bigcup} g_i,$ where $ g_i=fsym(kappa n_i)$,$(h=underset{i=1}{stackrel{infty}bigcup}h_i, $ where $ h_i=alt(kappa n_i) ), $ is a group of strictly diagonal type and$xi=(...

Complex Symmetric Operators and Applications

We study a few classes of Hilbert space operators whose matrix representations are complex symmetric with respect to a preferred orthonormal basis. The existence of this additional symmetry has notable implications and, in particular, it explains from a unifying point of view some classical results. We explore applications of this symmetry to Jordan canonical models, selfadjoint extensions of s...