activity
20092023
most citedCommutative algebra: Constructive methods. Finite projective modules

66 citations · 332 across the 27 of their papers we have counts for

collaborators

31 papers

quant-ph2023★ 1 cited

Nonlocal and quantum advantages in network coding for multiple access channels

Jiyoung Yun, Seung-Hyun Nam, Hyun-Young Park +3

In this work, we consider two-sender, one-receiver communication over a discrete memoryless multiple-access channel without feedback, where two senders may cooperate on channel cod…

quant-ph2022★ 14 cited

Distilling Nonlocality in Quantum Correlations

Sahil Gopalkrishna Naik, Govind Lal Sidhardh, Samrat Sen +3

Nonlocality, as established by seminal Bell's theorem, is considered to be the most striking feature of correlations present in space like separated events. Its practical applicati…

cs.DM2022

Parameterized and Exact Algorithms for Class Domination Coloring

R. Krithika, Ashutosh Rai, Saket Saurabh +1

A class domination coloring (also called cd-Coloring or dominated coloring) of a graph is a proper coloring in which every color class is contained in the neighbourhood of some ver…

cs.CC2021

Parameterized complexity of untangling knots

Clément Legrand-Duchesne, Ashutosh Rai, Martin Tancer

Deciding whether a diagram of a knot can be untangled with a given number of moves (as a part of the input) is known to be NP-complete. In this paper we determine the parameterized…

quant-ph2021★ 14 cited

Device-independent bounds from Cabello's nonlocality argument

Ashutosh Rai, Matej Pivoluska, Martin Plesch +3

Hardy-type arguments manifest Bell nonlocality in one of the simplest possible ways. Except for demonstrating nonclassical signature of entangled states in question, they can also…

quant-ph2020

Revealing Incommensurability between Device-Independent Randomness, Nonlocality, and Entanglement using Hardy and Hardy-type Relations

Souradeep Sasmal, Ashutosh Rai, Sayan Gangopadhyay +2

A comprehensive treatment of the quantification of randomness certified device-independently by using the Hardy and Cabello-Liang-Li (CLL) nonlocality relations is provided in the…

cs.CC2020

Parameterized Inapproximability of Independent Set in -Free Graphs

Pavel Dvořák, Andreas Emil Feldmann, Ashutosh Rai +1

We study the Independent Set (IS) problem in -free graphs, i.e., graphs excluding some fixed graph as an induced subgraph. We prove several inapproximability results both fo…

quant-ph2020★ 12 cited

Non-Local Network Coding in Interference Channels

Jiyoung Yun, Ashutosh Rai, Joonwoo Bae

In a network, a channel introduces correlations to the parties that aim to establish a communication protocol. In this work, we present a framework of non-local network coding by e…

cs.DS2020

Fixed-Parameter Tractability of the Weighted Edge Clique Partition Problem

Andreas Emil Feldmann, Davis Issac, Ashutosh Rai

We develop an FPT algorithm and a bi-kernel for the Weighted Edge Clique Partition (WECP) problem, where a graph with vertices and integer edge weights is given together with a…

quant-ph2018★ 23 cited

Geometry of the quantum set on no-signaling faces

Ashutosh Rai, Cristhiano Duarte, Samurai Brito +1

Since Bell's theorem we know that quantum mechanics is incompatible with local hidden-variable models, the phenomenon known as quantum nonlocality. However, despite steady progress…

cs.DS2018

A Polynomial Kernel for Diamond-Free Editing

Yixin Cao, Ashutosh Rai, R. B. Sandeep +1

An -free editing problem asks whether we can edit at most edges to make a graph contain no induced copy of the fixed graph . We obtain a polynomial kernel for this proble…

quant-ph2017★ 10 cited

Strong Quantum Solutions in Conflicting Interest Bayesian Games

Ashutosh Rai, Goutam Paul

Quantum entanglement has been recently demonstrated as a useful resource in conflicting interest games of incomplete information between two players, Alice and Bob [Pappa et al., P…

quant-ph2017★ 2 cited

Strong supremacy of quantum systems as communication resource

Maria Quadeer, Manik Banik, Andris Ambainis +1

We investigate the task of -level random access codes (-RACs) and consider the possibility of encoding classical strings of -level symbols (dits) into a quantum system of…

quant-ph2017★ 21 cited

Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game

Manik Banik, Some Sankar Bhattacharya, Nirman Ganguly +4

Entanglement is of paramount importance in quantum information theory. Its supremacy over classical correlations has been demonstrated in numerous information theoretic protocols.…

quant-ph2016★ 7 cited

Parity Oblivious d-Level Random Access Codes and Class of Noncontextuality Inequalities

Andris Ambainis, Manik Banik, Anubhav Chaturvedi +2

One of the fundamental results in quantum foundations is the Kochen-Specker no-go theorem. For the quantum theory, the no-go theorem excludes the possibility of a class of hidden v…

math.AC2016★ 66 cited

Commutative algebra: Constructive methods. Finite projective modules

Henri Lombardi, Claude Quitté

This book is an introductory course to basic commutative algebra with a particular emphasis on finitely generated projective modules. We adopt the constructive point of view, with…

quant-ph2015★ 9 cited

Quantum Advantages in (n,d)->1 Random Access Codes

Andris Ambainis, Dmitry Kravchenko, Sk Sazim +2

A random access code (RAC), corresponding to a communication primitive with various applications in quantum information theory, is an instance of a preparation-and-measurement scen…

cs.DS2015

A Parameterized Algorithm for Mixed Cut

Ashutosh Rai, M. S. Ramanujan, Saket Saurabh

The classical Menger's theorem states that in any undirected (or directed) graph , given a pair of vertices and , the maximum number of vertex (edge) disjoint paths is eq…

quant-ph2015★ 29 cited

Limited preparation contextuality in quantum theory and its relation to the Cirel'son bound

Manik Banik, Some Sankar Bhattacharya, Amit Mukherjee +3

Kochen-Specker (KS) theorem lies at the heart of the foundations of quantum mechanics. It establishes impossibility of explaining predictions of quantum theory by any noncontextual…

quant-ph2013★ 8 cited

Local Orthogonality provides better upper bound for Hardy's nonlocality

Subhadipa Das, Manik Banik, Md. Rajjak Gazi +2

The amount of nonlocality in quantum theory is limited compared to that allowed in generalized no-signaling theory [Found. Phys. 24, 379 (1994)]. This feature, for example, gets ma…

cs.DM2013

Polynomial Kernels for λ-extendible Properties Parameterized Above the Poljak-Turzík Bound

Robert Crowston, Mark Jones, Gabriele Muciaccia +3

Poljak and Turzik (Discrete Mathematics 1986) introduced the notion of λ-extendible properties of graphs as a generalization of the property of being bipartite. They showed that fo…

quant-ph2013★ 4 cited

Macroscopic locality with equal bias reproduces with high fidelity a quantum distribution achieving the Tsirelson's bound

Md. Rajjak Gazi, Manik Banik, Subhadipa Das +2

Two physical principles, Macroscopic Locality (ML) and Information Causality (IC), so far, have been most successful in distinguishing quantum correlations from post-quantum correl…

quant-ph2013

A testable prediction of the no-signalling condition using a variant of the EPR-Bohm example

Dipankar Home, Ashutosh Rai, A. S. Majumdar

Predictive power of the no-signalling condition (NSC) is demonstrated in a testable situation involving a non-ideal Stern-Gerlach (SG) device in one of the two wings of the EPR-Boh…

quant-ph2012★ 2 cited

Maximum tri-partite Hardy's nonlocality respecting all bi-partite principles

Subhadipa Das, Manik Banik, M. D. Rajjak Gazi +3

The set of multiparty correlations that respect all bi-partite principles has been conjectured to be same as the set of time-ordered-bi-local correlations. Based on this conjunctur…