Qihang Wang

Exact Measurement-Dependence Cost across the Noisy GHZ–Mermin Threshold

We determine the exact measurement-dependence cost of faithful local deterministic models reproducing the full outcome table on the even-parity GHZ–Mermin setting set for Pauli X/Y measurements. For every integer n ≥ 3 and isotropic visibility 0 ≤ v ≤ 1, let R = 2^floor((n−1)/2)....

Exact Chained-Word Threshold and Monotone-Path Structure in the Even Root-of-Unity Kaleidoscope Yang–Baxter Algebra

We prove the chained-word vanishing conjecture of Qiu, Guan, and Yu in the even root-of-unity Kaleidoscope Yang–Baxter representation. For every even N ≥ 4, every complex parameter u with u ≠ 0 and u^N ≠ 1, and every integer exponent tuple, the exact universal vanishing threshold...

Target-Mass Borel–Cantelli Laws for IID Random LSV Maps

We prove an annealed target-mass Borel–Cantelli theorem for the two-map IID random LSV model with a common neutral fixed point. Averaging first-return operators yields a deterministic renewal convolution and a physical-time limsup law for every deterministic interval sequence wit...