10 papers
Characterizing Pauli Propagation via Operator Complexity
Yuguo Shao, Song Cheng, Zhengwei Liu
Pauli-propagation simulation represents observables in the Pauli basis and evolves their coefficients in the Heisenberg picture. Its efficiency depends on whether the evolving oper…
Complexity of tensor network simulation for noisy quantum circuits
Yuguo Shao, Zishuo Zhao, Song Cheng +1
We aim to rigorously address how local noise affects classical simulability of quantum dynamics benchmarked by tensor-network methods. Using operator entanglement entropy (OEE), we…
Theory of (Co)homological Invariants on Quantum LDPC Codes
Zimu Li, Yuguo Shao, Fuchuan Wei +2
With recent breakthroughs in the construction of good qLDPC codes and nearly good qLTCs, the study of (co)homological invariants of quantum code complexes, which fundamentally unde…
Diagnosing Quantum Circuits: Noise Robustness, Trainability, and Expressibility
Yuguo Shao, Zhenyu Chen, Zhaohui Wei +1
Achieving practical quantum advantage on near-term noisy hardware is a central goal of quantum computation. However, without efficient pre-execution diagnostics, circuit design and…
Taming Barren Plateaus in Arbitrary Parameterized Quantum Circuits without Sacrificing Expressibility
Zhenyu Chen, Yuguo Shao, Zhengwei Liu +1
Quantum algorithms based on parameterized quantum circuits (PQCs) have enabled a wide range of applications on near-term quantum devices. However, existing PQC architectures face s…
BELT: Block Encoding of Linear Transformation on Density Matrices
Fuchuan Wei, Rundi Lu, Yuguo Shao +3
Linear maps that are not completely positive play a crucial role in the study of quantum information, yet their non-completely positive nature renders them challenging to realize p…