3 papers
cs.CC2026
An Argmax Principle for Sum-of-Squares Relaxations on the Sphere
Fernando Jeronimo Granha, Pei Wu, Haochen Xu
We develop an argmax principle for analyzing sum-of-squares relaxations of optimization problems over the unit sphere. Given a feasible pseudo-expectation, we form a polynomial of…
quant-ph2026
Optimal Quantum de Finetti Theorems via Argmax Rounding
Fernando Granha Jeronimo, Pei Wu, Haochen Xu
We prove optimal finite quantum de Finetti upper bounds. Given a bosonic state , there is a probability measure on the unit sphere such t…
quant-ph2025
Nonlocal Games in the High-Noise Regime: Optimal Quantum Values and Rigidity
Honghao Fu, Minglong Qin, Haochen Xu +1
Motivated by the limitations of near-term quantum devices, we study nonlocal games in the high-noise regime, where the two players may share arbitrarily many copies of a noisy enta…