244 citations · 455 across the 16 of their papers we have counts for
16 papers
Holographic Bit Threads from String-Diagrammatic Quantum Information Flow
Yi-Yu Lin, Song Cheng
Bit threads, arising as the convex dual of the minimal-surface formula for holographic entanglement entropy, are line-like structures with nontrivial bulk trajectories. Their physi…
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…
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…
Two-dimensional polarized superfluids under the prism of the fermion sign problem
Tian-Cheng Yi, Song Cheng, Ian Pilé +2
Understanding if attractive fermions in an unbalanced occupation of its flavors can give rise to a superfluid state in two dimensions (2D), realizing the Fulde-Ferrel-Larkin-Ovchin…
Simulating Noisy Variational Quantum Algorithms: A Polynomial Approach
Yuguo Shao, Fuchuan Wei, Song Cheng +1
Large-scale variational quantum algorithms are widely recognized as a potential pathway to achieve practical quantum advantages. However, the presence of quantum noise might suppre…
A ZX-Calculus Approach for the Construction of Graph Codes
Zipeng Wu, Song Cheng, Bei Zeng
Quantum Error-Correcting Codes (QECCs) play a crucial role in enhancing the robustness of quantum computing and communication systems against errors. Within the realm of QECCs, sta…
Exact results of dynamical structure factor of Lieb-Liniger model
Run-Tian Li, Song Cheng, Yang-Yang Chen +1
The dynamical structure factor (DSF) represents a measure of dynamical density-density correlations in a quantum many-body system. Due to the complexity of many-body correlations a…
One-body dynamical correlation function of Lieb-Liniger model at finite temperature
Song Cheng, Yang-Yang Chen, Xi-Wen Guan +2
The dynamical correlated properties of one-dimensional (1D) Bose gases provide profound understanding of novel physics emergent from collective excitations, for instance, the break…
Exact Spectral Function of One-Dimensional Bose Gases
Song Cheng, Yang-Yang Chen, Xi-Wen Guan +3
Exactly solved models provide rigorous understanding of many-body phenomena in strongly correlated systems. In this article, we report a breakthrough in uncovering universal many-b…
Information Perspective to Probabilistic Modeling: Boltzmann Machines versus Born Machines
Song Cheng, Jing Chen, Lei Wang
We compare and contrast the statistical physics and quantum physics inspired approaches for unsupervised generative modeling of classical data. The two approaches represent probabi…
Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model
Song Cheng, Yu-Zhu Jiang, Yi-Cong Yu +2
We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bet…
Universal thermodynamics of the one-dimensional attractive Hubbard model
Song Cheng, Yi-Song Yu, Murray T Batchelor +1
The one-dimensional (1D) Hubbard model, describing electrons on a lattice with an on-site repulsive interaction, provides a paradigm for the physics of quantum many-body phenomena.…
FFLO correlation and free fluids in the one-dimensional attractive Hubbard model
Song Cheng, Yi-Cong Yu, Murray T Batchelor +1
In this Rapid Communication we show that low energy macroscopic properties of the one-dimensional (1D) attractive Hubbard model exhibit two fluids of bound pairs and of unpaired fe…
Phase transition of the q-state clock model: duality and tensor renormalization
Jing Chen, Hai-Jun Liao, Hai-Dong Xie +6
We investigate the critical behavior and the duality property of the ferromagnetic -state clock model on the square lattice based on the tensor-network formalism. From the entan…
Equivalence of restricted Boltzmann machines and tensor network states
Jing Chen, Song Cheng, Haidong Xie +2
The restricted Boltzmann machine (RBM) is one of the fundamental building blocks of deep learning. RBM finds wide applications in dimensional reduction, feature extraction, and rec…
Complete positivity and contextuality of quantum dynamics
Song Cheng, Dongsheng Wang
Positivity or the stronger notion of complete positivity, and contextuality are central properties of quantum dynamics. In this work, we demonstrate that a physical unitary-univers…