| Title: |
Can outcome communication explain Bell nonlocality? |
| Authors: |
Vieira, Carlos; de Gois, Carlos; Lauand, Pedro; Antunes Porto, Lucas Emanuel; Designolle, Sébastien; Quintino, Marco Túlio |
| Contributors: |
Instituto de Matemática, Estatística e Computação Científica Campinas (IMECC); Universidade Estadual de Campinas = University of Campinas (UNICAMP); Naturwissenschaftlich-Technische Fakultät Siegen; University of Siegen = Universität Siegen Siegen; Problèmes de calcul quantique, de calcul distribué et de simulation en théorie de l'information quantique (PHIQUS); Centre Inria de l'Institut Polytechnique de Paris; Centre Inria de Saclay; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre Inria de Saclay; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria); Centre de Physique Théorique (CPHT); École polytechnique (X); Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS); Perimeter Institute for Theoretical Physics Waterloo; Institute for Quantum Computing Waterloo (IQC); University of Waterloo Waterloo; Information Quantique LIP6 (QI); LIP6; Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS); Traitement optimal de l'information avec des dispositifs quantiques (QINFO); Centre Inria de l'Université Grenoble Alpes; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure de Lyon (ENS de Lyon); Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université Grenoble Alpes (UGA)-Centre Inria de Lyon; Institut National de Recherche en Informatique et en Automatique (Inria); École normale supérieure de Lyon (ENS de Lyon); Université de Lyon; Université Claude Bernard Lyon 1 (UCBL); Laboratoire de l'Informatique du Parallélisme (LIP); Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS); MTQ acknologesthe funding Tremplins nouveaux entrants & nouvellesentrantes - Edition 2024, project HOQO-KS; ANR-22-CMAS-0001,QuanTEdu-France,Quantum technologies: Education and training to fulfill the strategic skill needs of research and industry in France(2022); European Project: 731473,H2020-FETPROACT-2016-2017,FETPROACT-2016,QuantERA(2016); European Project: 101017733,H2020-FETFLAG-2018-2020,H2020-FETFLAG-2020-02,QuantERA II(2021) |
| Source: |
https://hal.science/hal-05326156 ; 2025. |
| Publisher Information: |
CCSD |
| Publication Year: |
2025 |
| Collection: |
Université Grenoble Alpes: HAL |
| Subject Terms: |
Quantum Physics (quant-ph); FOS: Physical sciences; [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] |
| Description: |
A central aspect of quantum information is that correlations between spacelike separated observers sharing entangled states cannot be reproduced by local hidden variable (LHV) models, a phenomenon known as Bell nonlocality. If one wishes to explain such correlations by classical means, a natural possibility is to allow communication between the parties. In particular, LHV models augmented with two bits of classical communication can explain the correlations of any two-qubit state. Would this still hold if communication is restricted to measurement outcomes? While in certain scenarios with a finite number of inputs the answer is yes, we prove that if a model must reproduce all projective measurements, then for any qubit-qudit state the answer is no. In fact, a qubit-qudit under projective measurements admits an LHV model with outcome communication if and only if it already admits an LHV model without communication. On the other hand, we also show that when restricted sets of measurements are considered (for instance, when the qubit measurements are in the upper hemisphere of the Bloch ball), outcome communication does offer an advantage. This exemplifies that trivial properties in standard LHV scenarios, such as deterministic measurements and outcome-relabelling, play a crucial role in the outcome communication scenario. |
| Document Type: |
report |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/arxiv/2510.12886; info:eu-repo/grantAgreement//731473/EU/QuantERA ERA-NET Cofund in Quantum Technologies/QuantERA; info:eu-repo/grantAgreement//101017733/EU/QuantERA II ERA-NET Cofund in Quantum Technologies/QuantERA II; ARXIV: 2510.12886 |
| DOI: |
10.48550/arXiv.2510.12886 |
| Availability: |
https://hal.science/hal-05326156; https://doi.org/10.48550/arXiv.2510.12886 |
| Accession Number: |
edsbas.1C160132 |
| Database: |
BASE |