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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…
quant-ph2024
NPA Hierarchy for Quantum Isomorphism and Homomorphism Indistinguishability
Prem Nigam Kar, David E. Roberson, Tim Seppelt +1
Mančinska 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. [JC…
quant-ph2023
Transitive Nonlocal Games
Prem Nigam Kar, Jitendra Prakash, David E Roberson
We study a class of nonlocal games, called transitive games, for which the set of perfect strategies forms a semigroup. We establish several interesting correspondences of bisynchr…