activity
20102026
most citedCommutative algebra: Constructive methods. Finite projective modules

66 citations · 247 across the 20 of their papers we have counts for

collaborators

20 papers

quant-ph2026

Playing Bayesian games better with separable quantum states than with any classical correlation

Yaqing Xy Wang, Giannicola Scarpa, Andreas Winter

Bayesian games, also known as games of incomplete information, are a fruitful arena for exploring the impact of correlations on a set of independent agents (players) via the game e…

cs.LG2026

Quantum-inspired tensor networks in machine learning models

Guillermo Valverde, Igor García-Olaizola, Giannicola Scarpa +1

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential com…

quant-ph2025

The Quantum Agreement Theorem

María García Díaz, Adam Brandenburger, Giannicola Scarpa

Intersubjective consistency asks when different observers of a physical system, reasoning from a shared theory, will agree on their probability assessments. Classical probability t…

quant-ph2022★ 9 cited

A didactic approach to quantum machine learning with a single qubit

Elena Peña Tapia, Giannicola Scarpa, Alejandro Pozas-Kerstjens

This paper presents, via an explicit example with a real-world dataset, a hands-on introduction to the field of quantum machine learning (QML). We focus on the case of learning wit…

cs.CL2022★ 4 cited

A gentle introduction to Quantum Natural Language Processing

Shervin Le Du, Senaida Hernández Santana, Giannicola Scarpa

The main goal of this master's thesis is to introduce Quantum Natural Language Processing (QNLP) in a way understandable by both the NLP engineer and the quantum computing practiti…

cs.CR2022★ 7 cited

Privacy-preserving machine learning with tensor networks

Alejandro Pozas-Kerstjens, Senaida Hernández-Santana, José Ramón Pareja Monturiol +4

Tensor networks, widely used for providing efficient representations of low-energy states of local quantum many-body systems, have been recently proposed as machine learning archit…

quant-ph2021★ 10 cited

Observers of quantum systems cannot agree to disagree

Patricia Contreras-Tejada, Giannicola Scarpa, Aleksander M. Kubicki +2

Is the world quantum? An active research line in quantum foundations is devoted to exploring what constraints can rule out the postquantum theories that are consistent with experim…

math.OA2018★ 27 cited

Perfect strategies for non-signalling games

M. Lupini, L. Mancinska, V. I. Paulsen +5

We unify and consolidate various results about non-signall-ing games, a subclass of non-local two-player one-round games, by introducing and studying several new families of games…

quant-ph2018★ 24 cited

Projected Entangled Pair States: Fundamental analytical and numerical limitations

G. Scarpa, A. Molnar, Y. Ge +4

Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions,…

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-ph2014★ 4 cited

Parallel Repetition of Free Entangled Games: Simplification and Improvements

André Chailloux, Giannicola Scarpa

In a two-player game, two cooperating but non communicating players, Alice and Bob, receive inputs taken from a probability distribution. Each of them produces an output and they w…

quant-ph2014★ 1 cited

Graph-theoretical Bounds on the Entangled Value of Non-local Games

André Chailloux, Laura Mančinska, Giannicola Scarpa +1

We introduce a novel technique to give bounds to the entangled value of non-local games. The technique is based on a class of graphs used by Cabello, Severini and Winter in 2010. T…

quant-ph2014★ 5 cited

Multi-party zero-error classical channel coding with entanglement

Teresa Piovesan, Giannicola Scarpa, Christian Schaffner

We study the effects of quantum entanglement on the performance of two classical zero-error communication tasks among multiple parties. Both tasks are generalizations of the two-pa…

quant-ph2013★ 2 cited

Parallel Repetition of Entangled Games with Exponential Decay via the Superposed Information Cost

André Chailloux, Giannicola Scarpa

In a two-player game, two cooperating but non communicating players, Alice and Bob, receive inputs taken from a probability distribution. Each of them produces an output and they w…

quant-ph2013★ 10 cited

Entanglement-assisted zero-error source-channel coding

Jop Briët, Harry Buhrman, Monique Laurent +2

We study the use of quantum entanglement in the zero-error source-channel coding problem. Here, Alice and Bob are connected by a noisy classical one-way channel, and are given corr…

quant-ph2012★ 5 cited

Exclusivity structures and graph representatives of local complementation orbits

Adan Cabello, Matthew G. Parker, Giannicola Scarpa +1

We describe a construction that maps any connected graph G on three or more vertices into a larger graph, H(G), whose independence number is strictly smaller than its Lovász number…

quant-ph2012★ 32 cited

A Generalization of Kochen-Specker Sets Relates Quantum Coloring to Entanglement-Assisted Channel Capacity

Laura Mancinska, Giannicola Scarpa, Simone Severini

We introduce two generalizations of Kochen-Specker (KS) sets: projective KS sets and generalized KS sets. We then use projective KS sets to characterize all graphs for which the ch…

quant-ph2011★ 21 cited

Kochen-Specker Sets and the Rank-1 Quantum Chromatic Number

Giannicola Scarpa, Simone Severini

The quantum chromatic number of a graph is sandwiched between its chromatic number and its clique number, which are well known NP-hard quantities. We restrict our attention to…

quant-ph2010★ 18 cited

Near-Optimal and Explicit Bell Inequality Violations

Harry Buhrman, Oded Regev, Giannicola Scarpa +1

Entangled quantum systems can exhibit correlations that cannot be simulated classically. For historical reasons such correlations are called "Bell inequality violations." We give t…

quant-ph2010★ 2 cited

Better Non-Local Games from Hidden Matching

Harry Buhrman, Giannicola Scarpa, Ronald de Wolf

We construct a non-locality game that can be won with certainty by a quantum strategy using log n shared EPR-pairs, while any classical strategy has winning probability at most 1/2…