53 citations · 145 across the 25 of their papers we have counts for
26 papers
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…
Error Basis and Quantum Channel
B. V. Rajarama Bhat, Purbayan Chakraborty, Uwe Franz
The Weyl operators give a convenient basis of which is also orthonormal with respect to the Hilbert-Schmidt inner product. The properties of such a basis can be g…
Operator moment dilations as block operators
B. V. Rajarama Bhat, Anindya Ghatak, Santhosh Kumar Pamula
Let be a complex Hilbert space and let be a sequence of bounded linear operators on . Then a bounded operator on a Hilb…
Schoenberg Correspondence for -(Super)Positive Maps on Matrix Algebras
B. V. Rajarama Bhat, Purbayan Chakraborty, Uwe Franz
We prove a Schoenberg-type correspondence for non-unital semigroups which generalizes an analogous result for unital semigroup proved by Michael Schürmann. It characterizes the gen…
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…
Iterative Roots of Multifunctions
B. V. Rajarama Bhat, Chaitanya Gopalakrishna
Some easily verifiable sufficient conditions for the nonexistence of iterative roots for multifunctions on arbitrary nonempty sets are presented. Typically if the graph of the mult…
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…
The non-iterates are dense in the space of continuous self-maps
B. V. Rajarama Bhat, Chaitanya Gopalakrishna
In this paper we develop a tool to identify functions which have no iterative roots of any order. Using this, we prove that when is , or , every no…
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…
Iterative square roots of functions
B V Rajarama Bhat, Chaitanya Gopalakrishna
An iterative square root of a function is a function such that . We obtain new characterizations for detecting the non-existence of such square roots…
-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…
Two states
B. V. Rajarama Bhat, Mithun Mukherjee
D. Bures defined a metric on states of a -algebra and this concept has been generalized to unital completely positive maps , where $\mathcal…
On the equivalence of separability and extendability of quantum states
B. V. Rajarama Bhat, K. R. Parthasarathy, Ritabrata Sengupta
Motivated by the notions of -extendability and complete extendability of the state of a finite level quantum system as described by Doherty et al (Phys. Rev. A, 69:022308), we i…
Additive units of product system
B. V. Rajarama Bhat, Martin Lindsay, Mithun Mukherjee
We introduce the notion of additive units and roots of a unit in a spatial product system. The set of all roots of any unit forms a Hilbert space and its dimension is the same as t…
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…