4 papers · 1 filter
Entanglement sharing schemes
Zahra Khanian, Dongjin Lee, Debbie Leung +7
We ask how quantum correlations can be distributed among many subsystems. To address this, we define entanglement sharing schemes (ESS) where certain pairs of subsystems allow enta…
Lovász Meets Lieb-Schultz-Mattis: Complexity in Approximate Quantum Error Correction
Jinmin Yi, Ruizhi Liu, Zhi Li
Approximate quantum error correction (AQEC) provides a versatile framework for both quantum information processing and probing many-body entanglement. We reveal a fundamental tensi…
Noise-strength-adapted approximate quantum codes inspired by machine learning
Shuwei Liu, Shiyu Zhou, Zi-Wen Liu +1
We demonstrate that machine learning provides a powerful tool for discovering new approximate quantum error-correcting (AQEC) codes beyond conventional algebraic frameworks. Buildi…
Complexity and order in approximate quantum error-correcting codes
Jinmin Yi, Weicheng Ye, Daniel Gottesman +1
We establish rigorous connections between quantum circuit complexity and approximate quantum error correction (AQEC) capability, two properties of fundamental importance to the phy…