53 citations · 145 across the 25 of their papers we have counts for
16 papers · 1 filter
A complete characterization of eventually entanglement breaking unital quantum channels
B. V. Rajarama Bhat, Pankaj Dey, Biswarup Saha
We obtain a complete characterization of eventually entanglement breaking (EEB) unital channels in terms of some simple commutation properties of their eigenvectors. Specifically,…
A minimal completion theorem and almost everywhere equivalence for Completely Positive maps
B. V. Rajarama Bhat, Arghya Chongdar
A problem of completing a linear map on C*-algebras to a completely positive map is analyzed. It is shown that whenever such a completion is feasible there exists a unique minimal…
Peripherally automorphic unital completely positive maps
B. V. Rajarama Bhat, Samir Kar, Bharat Talwar
We identify and characterize unital completely positive (UCP) maps on finite dimensional -algebras for which the Choi-Effros product extended to the space generated by periphe…
Peripheral Poisson Boundary
B. V. Rajarama Bhat, Samir Kar, Bharat Talwar
It is shown that the operator space generated by peripheral eigenvectors of a unital completely positive map on a von Neumann algebra has a -algebra structure. This extends th…
On products of symmetries in von Neumann algebras
B V Rajarama Bhat, Soumyashant Nayak, P Shankar
Let be a type von Neumann algebra. We show that every unitary in may be decomposed as the product of six symmetries (that is, self-adjoint unitar…
-extreme points of entanglement breaking maps
B. V. Rajarama Bhat, Repana Devendra, Nirupama Mallick +1
In this paper we study the -convex set of unital entanglement breaking (EB-)maps on matrix algebras. General properties and an abstract characterization of -extreme point…
Poisson boundary on full Fock space
B. V. Rajarama Bhat, Panchugopal Bikram, Sandipan De +1
This article is devoted to studying the non-commutative Poisson boundary associated with where is a separable Hil…
-extreme maps and nests
B. V. Rajarama Bhat, Manish Kumar
The generalized state space of all unital completely positive (UCP) maps on a unital -algebra taking values in the alge…
-extreme points of positive operator valued measures and unital completely positive maps
Tathagata Banerjee, B V Rajarama Bhat, Manish Kumar
We study the quantum () convexity structure of normalized positive operator valued measures (POVMs) on measurable spaces. In particular, it is seen that unlike extreme points…
Structure of block quantum dynamical semigroups and their product systems
B V Rajarama Bhat, Vijaya Kumar U
W. Paschke's version of Stinespring's theorem associates a Hilbert -module along with a generating vector to every completely positive map. Building on this, to every quantum…
Nilpotent Completely Positive Maps
B V Rajarama Bhat, Nirupama Mallick
We study the structure of nilpotent completely positive maps in terms of Choi-Kraus coefficients. We prove several inequalities, including certain majorization type inequalities fo…
Bures Distance For Completely Positive Maps
B. V. Rajarama Bhat, K. Sumesh
D. Bures had defined a metric on the set of normal states on a von Neumann algebra using GNS representations of states. This notion has been extended to completely positive maps be…
The Schur-Horn theorem for operators with finite spectrum
B. V. Rajarama Bhat, Mohan Ravichandran
The carpenter problem in the context of factors, formulated by Kadison asks: Let be a masa in a type factor and let be the norma…
Stinespring's theorem for maps on Hilbert C*-modules
B V Rajarama Bhat, G. Ramesh, K. Sumesh
We strengthen Mohammad B. Asadi's analogue of Stinespring's theorem for certain maps on Hilbert C*-modules. We also show that any two minimal Stinespring representations are unitar…
Inclusion systems and amalgamated products of product systems
B. V. Rajarama Bhat, Mithun Mukherjee
Here we generalize the concept of spatial tensor product, introduced by Skeide, of two product systems via a pair of normalized units. This new notion is called amalgamated tensor…
On Product Systems arising from Sum Systems
B. V. Rajarama Bhat, R. Srinivasan
Boris Tsirelson constructed an uncountable family of type III product systems of Hilbert spaces through the theory of Gausian spaces, measure type spaces and `slightly coloured noi…