6 citations · 20 across the 17 of their papers we have counts for
18 papers
Sobolev Inequalities on Kähler manifolds
Sayantan Chakraborty
We prove new Sobolev type inequalities on compact Kähler manifolds with positive Ricci curvature. A proof of an already existing Sobolev inequality in the classical Bidaut-Véron an…
Chain rules for one-shot entropic quantities via operational methods
Sayantan Chakraborty, Upendra Kapshikar
We introduce a new operational technique for deriving chain rules for general information theoretic quantities. This technique is very different from the popular (and in some cases…
-theory of non-commutative Bernoulli Shifts
Sayan Chakraborty, Siegfried Echterhoff, Julian Kranz +1
For a large class of C*-algebras , we calculate the -theory of reduced crossed products of Bernoulli shifts by groups satisfying the Baum--Connes co…
One-shot purity distillation with local noisy operations and one-way classical communication
Sayantan Chakraborty, Aditya Nema, Francesco Buscemi
Local pure states represent a fundamental resource in quantum information theory. In this work we obtain one-shot achievable bounds on the rates for local purity distillation, in t…
Symmetrized non-commutative tori revisited
Sayan Chakraborty
For the flip action of on an -dimensional noncommutative torus using an exact sequence by Natsume, we compute the K-theory groups of $A_θ\rtimes \mathbb{Z}…
Centralised multi link measurement compression with side information
Sayantan Chakraborty, Arun Padakandla, Pranab Sen
We prove new one shot achievability results for measurement compression of quantum instruments with side information at the receiver. Unlike previous one shot results for this prob…
Higher dimensional Bott classes and the stability of rotation relations
Sayan Chakraborty, Jiajie Hua
Let be a real skew-symmetric matrix for . Under some mild non-integrality conditions on we construct Rieffel-type projections as…
One-shot inner bounds for sending private classical information over a quantum MAC
Sayantan Chakraborty, Aditya Nema, Pranab Sen
We provide the first inner bounds for sending private classical information over a quantum multiple access channel. We do so by using three powerful information theoretic technique…
One-shot multi-sender decoupling and simultaneous decoding for the quantum MAC
Sayantan Chakraborty, Aditya Nema, Pranab Sen
In this work, we prove a novel one-shot multi-sender decoupling theorem generalising Dupuis result. We start off with a multipartite quantum state, say on A1 A2 R, where A1, A2 are…
Tracing projective modules over noncommutative orbifolds
Sayan Chakraborty
For an action of a finite cyclic group on an -dimensional noncommutative torus we give sufficient conditions when the fundamental projective modules over , which…
Novel one-shot inner bounds for unassisted fully quantum channels via rate splitting
Sayantan Chakraborty, Aditya Nema, Pranab Sen
We prove the first non-trivial one-shot inner bounds for sending quantum information over an entanglement unassisted two-sender quantum multiple access channel (QMAC) and an unassi…
Improved Bounds for Perfect Sampling of -Colorings in Graphs
Siddharth Bhandari, Sayantan Chakraborty
We present a randomized algorithm that takes as input an undirected -vertex graph with maximum degree and an integer , and returns a random proper -coloring o…
Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation
Sayan Chakraborty, Xiang Tang, Yi-Jun Yao
Using a smooth version of the Connes--Thom isomorphism in Grensing's bivariant K-theory for locally convex algebras, we prove an equivariant version of the Connes--Thom isomorphism…
A note on crossed products of rotation algebras
Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1
We compute the -theory of crossed products of rotation algebras , for any real angle , by matrices in with infinite order. Using te…
Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of
Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1
Let be irrational numbers and be matrices in of infinite order. We compute the -theory of the crossed product $\mathcal{A}_θ\rtimes_A \mathbb{Z…
Tracing cyclic homology pairings under twisting of graded algebras
Sayan Chakraborty, Makoto Yamashita
We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of mon…
Metaplectic transformations and finite group actions on noncommutative tori
Sayan Chakraborty, Franz Luef
In this article we describe extensions of some K-theory classes of Heisenberg modules over higher-dimensional noncommutative tori to projective modules over crossed products of non…
Some remarks on of noncommutative tori
Sayan Chakraborty
Using Rieffel's construction of projective modules over higher dimensional noncommutative tori, we construct projective modules over some continuous field of C*-algebras whose fibe…