6 papers
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…
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.…
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…
The bulk spectral gap is semi-decidable: a convergent family of certified upper bounds
Xiangling Xu, Matthias Schötz, Jie Wang +4
Determining spectral gaps in the thermodynamic limit is a central challenge in quantum many-body physics. Existing rigorous methods are largely limited to special settings, while v…
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…
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 -…