Zhiyuan Yao

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...

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...

Charge transport, not interaction range, bounds the Lieb-Schultz-Mattis twist cost

Geometric interaction range can overestimate the energy cost of a Lieb-Schultz-Mattis twist. We prove that, under the stated assumptions, every sufficiently large admitted periodic ring with L>3R has an explicit O(1/L) upper bound on its full spectral gap. The bound is governed b...