1 citations · 1 across the 11 of their papers we have counts for
12 papers
Scaling law of variational quantum algorithms
Ningfeng Wang, Zhengwei Liu
We study scaling law of variational quantum algorithms by large-scale numerical experiments on combinatorial optimizations. On experiments up to n = 5000 qubits with O( log(n)) cir…
Quantum Derivative Pricing for SPDEs via BDSDE Representation
Xinmiao Li, Yanqiao Wang, Rundi Lu +2
We study quantum speedups of derivative pricing for stochastic partial differential equation (SPDE) models through their backward doubly stochastic differential equation (BDSDE) re…
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…
A Unified Frequency Principle for Quantum and Classical Machine Learning
Rundi Lu, Ruiqi Zhang, Weikang Li +3
Quantum neural networks constitute a key class of near-term quantum learning models, yet their training dynamics remain not fully understood. Here, we present a unified theoretical…
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…
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…
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…
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…
Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications
Rundi Lu, Hao-En Li, Zhengwei Liu +1
We generalize the Linear Combination of Hamiltonian Simulation (LCHS) formula [An, Liu, Lin, Phys. Rev. Lett. 2023] to simulate time-evolution operators in infinite-dimensional spa…
Clifford Perturbation Approximation for Quantum Error Mitigation
Ruiqi Zhang, Yuguo Shao, Fuchuan Wei +3
Quantum error mitigation (QEM) is critical for harnessing the potential of near-term quantum devices. Particularly, QEM protocols can be designed based on machine learning, where t…
Variational Graphical Quantum Error Correction Codes
Yuguo Shao, Yong-Chang Li, Fuchuan Wei +5
Quantum error correction is essential for achieving fault-tolerant quantum computation. However, most typical quantum error-correcting codes are designed for generic noise models,…
Realizing Non-Physical Actions through Hermitian-Preserving Map Exponentiation
Fuchuan Wei, Zhenhuan Liu, Guoding Liu +4
Quantum mechanics features a variety of distinct properties such as coherence and entanglement, which could be explored to showcase potential advantages over classical counterparts…