3 papers
quant-ph2026
NPA Hierarchy for Quantum Isomorphism and Homomorphism Indistinguishability
Prem Nigam Kar, David E. Roberson, Tim Seppelt +1
ManÄinska and Roberson [FOCS'20] showed that two graphs are quantum isomorphic if and only if they admit the same number of homomorphisms from any planar graph. Atserias et al. [J…
math.QA2025
Free Inhomogeneous Wreath Product of Quantum Groups
Josse van Dobben de Bruyn, Amaury Freslon, Prem Nigam Kar +2
We introduce the free inhomogeneous wreath product of compact matrix quantum groups, which generalizes the free wreath product (Bichon 2004). We use this to present a general techn…
quant-ph2025
Robust Self-testing for Synchronous Correlations and Games
Prem Nigam Kar
We develop an abstract operator-algebraic characterization of robust self-testing for synchronous correlations and games. Specifically, we show that a synchronous correlation is a…