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20162026
most citedQuantum theory based on real numbers can be experimentally falsified

228 citations · 1.4k across the 42 of their papers we have counts for

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quant-ph2026

An operational characterization of finite-dimensional quantum theory

Lionel J. Dmello, Xiangling Xu, Marc-Olivier Renou +1

A key goal in the foundations of quantum mechanics is to identify operational constraints characterizing physical theories. Bell inequalities do so for classical probability theory…

quant-ph2026

Self-testing the toric code against classical communication

Gustavo Fróes, Amanda Wei, Carlos de Gois +2

Device-independent self-testing certifies a multipartite quantum state from the correlations it produces alone, without assumptions on the inner workings of the devices. Most exist…

quant-ph2026

Quantum inflation and source-transfer hierarchies are complete for tree networks

Xiangling Xu, Igor Klep, Marc-Olivier Renou

Understanding the capabilities and limits of quantum systems is central to quantum information processing. This includes determining which correlations can arise in networks of qua…

quant-ph2026

The bulk spectral gap is certifiable from above but uncomputable from below

Xiangling Xu, Matthias Schötz, Jie Wang +4

Determining spectral gaps in the thermodynamic limit is a central challenge in quantum many-body physics. When a fixed boundary condition is imposed, this problem is undecidable: n…

quant-ph2026

Fermions are fundamentally more nonlocal than Bosons

Fatemeh Moradi Kalarde, Sadra Boreiri, Xiangling Xu +5

Bell's theorem shows that entangled quantum particles can exhibit correlations that classical particles cannot reproduce without an additional nonlocal resource, such as communicat…

quant-ph2026

A missing causal principle: Coordination

Daniel Centeno, Antoine Coquet, Maria Ciudad Alañón +3

We introduce the coordination principle, which states that perfect coordination, in the form of agreement on a uniformly random output, among N parties is possible only if they sha…

quant-ph2026

Coordination Requires a Common Cause in Quantum Theory

Daniel Centeno, Antoine Coquet, Maria Ciudad Alañón +3

We propose a novel causal principle that is a genuinely multipartite extension of Reichenbach's common cause principle, namely, the coordination principle: parties in a network can…

quant-ph2026

Comment on "Quantum theory based on real numbers cannot be experimentally falsified": On the compatibility of physical principles with information theory for fermions

Fatemeh Moradi Kalarde, Xiangling Xu, Marc-Olivier Renou

The manuscript [arXiv:2603.19208] proposes a physically motivated postulate to select the appropriate formulation of quantum theory over real Hilbert spaces, ruling out the theory…

quant-ph2026

Scalable Ground-State Certification of Quantum Spin Systems via Structured Noncommutative Polynomial Optimization

Jie Wang, David Jansen, Irénée Frerot +3

A fundamental challenge in quantum physics is determining the ground-state properties of many-body systems. Whereas standard variational approaches posit a wave-function ansatz and…

quant-ph2025

Quantitative quantum soundness for all multipartite compiled nonlocal games

Matilde Baroni, Igor Klep, Dominik Leichtle +4

Compiled nonlocal games transfer the power of Bell-type multi-prover tests into a single-device setting by replacing spatial separation with cryptography. Concretely, the KLVY comp…

quant-ph2025

Quantitative Quantum Soundness for Bipartite Compiled Bell Games via the Sequential NPA Hierarchy

Igor Klep, Connor Paddock, Marc-Olivier Renou +4

Compiling Bell games under cryptographic assumptions replaces the need for physical separation, allowing nonlocality to be probed with a single untrusted device. While Kalai et al.…

quant-ph2025

Quantitative Tsirelson's Theorems via Approximate Schur's Lemma and Probabilistic Stampfli's Theorems

Xiangling Xu, Marc-Olivier Renou, Igor Klep

Whether an almost-commuting pair of operators must be close to a commuting pair is a central question in operator and matrix theory. We investigate this problem for pairs of -…

quant-ph2025

Gap between quantum theory based on real and complex numbers is arbitrarily large

Shubhayan Sarkar, David Trillo, Marc Olivier Renou +1

Quantum Information Theory, the standard formalism used to represent information contained in quantum systems, is based on complex Hilbert spaces (CQT). It was recently shown that…

quant-ph2024★ 1 cited

The genuinely multipartite nonlocality of graph states is model-dependent

Xavier Coiteux-Roy, Owidiusz Makuta, Fionnuala Curran +2

Bell's theorem proves that some quantum state correlations can only be explained by bipartite non-classical resources. The notion of genuinely multipartite nonlocality (GMNL) was l…

quant-ph2024★ 1 cited

Experimental genuine quantum nonlocality in the triangle network

Ning-Ning Wang, Chao Zhang, Huan Cao +8

In the last decade, it was understood that quantum networks involving several independent sources of entanglement which are distributed and measured by several parties allowed for…

quant-ph2023★ 13 cited

Certifying ground-state properties of quantum many-body systems

Jie Wang, Jacopo Surace, Irénée Frérot +4

A ubiquitous problem in quantum physics is to understand the ground-state properties of many-body systems. Confronted with the fact that exact diagonalisation quickly becomes impos…

quant-ph2023

Nonlocality under Computational Assumptions

Khashayar Barooti, Alexandru Gheorghiu, Grzegorz Głuch +1

Nonlocality and its connections to entanglement are fundamental features of quantum mechanics that have found numerous applications in quantum information science. A set of correla…

quant-ph2022★ 4 cited

Two convergent NPA-like hierarchies for the quantum bilocal scenario

Marc-Olivier Renou, Xiangling Xu, Laurens T. Ligthart

Characterising the correlations that arise from locally measuring a single part of a joint quantum system is one of the main problems of quantum information theory. The seminal wor…

quant-ph2022

Universal device for two-qubit entangled measurements via photonic quantum walks

Wen-Zhe Yan, Zhibo Hou, Jun-Feng Tang +4

Sophisticated quantum measurements are fundamental to obtain a quantum advantage in many informational problems. Here, we consider the task of guessing a direction encoded in a two…

quant-ph2022★ 31 cited

Proofs of network quantum nonlocality in continuous families of distributions

Alejandro Pozas-Kerstjens, Nicolas Gisin, Marc-Olivier Renou

The study of nonlocality in scenarios that depart from the bipartite Einstein-Podolsky-Rosen setup is allowing to uncover many fundamental features of quantum mechanics. Recently,…

quant-ph2022★ 21 cited

Network Nonlocality via Rigidity of Token-Counting and Color-Matching

Marc-Olivier Renou, Salman Beigi

Network Nonlocality is the study of the Network Nonlocal correlations created by several independent entangled states shared in a network. In this paper, we provide the first two g…

quant-ph2022★ 21 cited

Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations

Huan Cao, Marc-Olivier Renou, Chao Zhang +7

Quantum theory predicts the existence of genuinely tripartite-entangled states, which cannot be obtained from local operations over any bipartite entangled states and unlimited sha…

quant-ph2022★ 48 cited

Quantum networks self-test all entangled states

Ivan Šupić, Joseph Bowles, Marc-Olivier Renou +2

Certifying quantum properties with minimal assumptions is a fundamental problem in quantum information science. Self-testing is a method to infer the underlying physics of a quantu…

quant-ph2021★ 121 cited

Testing real quantum theory in an optical quantum network

Zheng-Da Li, Ya-Li Mao, Mirjam Weilenmann +12

Quantum theory is commonly formulated in complex Hilbert spaces. However, the question of whether complex numbers need to be given a fundamental role in the theory has been debated…