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20242026
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quant-ph2026

Estimation of a sparse multi-qubit Hamiltonian via compressed sensing

Juntao Tu, Yuanlong Wang, Shuming Cheng +2

Hamiltonian estimation is an effective approach in studying the structure and dynamical evolution of quantum systems. The difficulty in estimating the Hamiltonian is that an -qu…

quant-ph2025

The boundary of Kirkwood-Dirac quasiprobability

Lijun Liu, Shuming Cheng

The Kirkwood-Dirac (KD) quasiprobability describes measurement statistics of joint quantum observables, and has generated great interest as prominent indicators of non-classical fe…

quant-ph2024

The polygon relation and subadditivity of entropic measures for discrete and continuous multipartite entanglement

Lijun Liu, Xiaozhen Ge, Shuming Cheng

In a recent work [Ge {\it et al.}, arXiv: 2312. 17496 (2023)], we have derived the polygon relation of bipartite entanglement measures that is useful to reveal the entanglement pro…

quant-ph2024

Faithful geometric measures for genuine tripartite entanglement

Xiaozhen Ge, Lijun Liu, Yong Wang +4

We present a faithful geometric picture for genuine tripartite entanglement of discrete, continuous, and hybrid quantum systems. We first find that the triangle relation $\mathcal{…

quant-ph2024

Efficient factored gradient descent algorithm for quantum state tomography

Yong Wang, Lijun Liu, Shuming Cheng +2

Reconstructing the state of quantum many-body systems is of fundamental importance in quantum information tasks, but extremely challenging due to the curse of dimensionality. In th…