29 citations · 67 across the 8 of their papers we have counts for
9 papers · 1 filter
On estimating operator norm distance, with optimal trace distance estimation when one state is pure
Yupan Liu, Qisheng Wang, Zhan Yu
We investigate the computational complexity of estimating the operator norm distance , defined via the operator norm , give…
Simultaneous Estimation of Nonlinear Functionals of a Quantum State
Kean Chen, Qisheng Wang, Zhan Yu +1
We consider a fundamental task in quantum information theory, estimating the values of , , , for an observable and a quantum state . We…
Exploring experimental limit of deep quantum signal processing using a trapped-ion simulator
J. -T. Bu, Lei Zhang, Zhan Yu +12
Quantum signal processing (QSP), which enables systematic polynomial transformations on quantum data through sequences of qubit rotations, has emerged as a fundamental building blo…
Amortized Stabilizer Rényi Entropy of Quantum Dynamics
Chengkai Zhu, Yu-Ao Chen, Zanqiu Shen +3
Unraveling the secrets of how much nonstabilizerness a quantum dynamic can generate is crucial for harnessing the power of magic states, the essential resources for achieving quant…
Non-asymptotic Approximation Error Bounds of Parameterized Quantum Circuits
Zhan Yu, Qiuhao Chen, Yuling Jiao +4
Parameterized quantum circuits (PQCs) have emerged as a promising approach for quantum neural networks. However, understanding their expressive power in accomplishing machine learn…
Efficient information recovery from Pauli noise via classical shadow
Yifei Chen, Zhan Yu, Chenghong Zhu +1
The rapid advancement of quantum computing has led to an extensive demand for effective techniques to extract classical information from quantum systems, particularly in fields lik…
Quantum Phase Processing and its Applications in Estimating Phase and Entropies
Youle Wang, Lei Zhang, Zhan Yu +1
Quantum computing can provide speedups in solving many problems as the evolution of a quantum system is described by a unitary operator in an exponentially large Hilbert space. Suc…
Power and limitations of single-qubit native quantum neural networks
Zhan Yu, Hongshun Yao, Mujin Li +1
Quantum neural networks (QNNs) have emerged as a leading strategy to establish applications in machine learning, chemistry, and optimization. While the applications of QNN have bee…
Optimal quantum dataset for learning a unitary transformation
Zhan Yu, Xuanqiang Zhao, Benchi Zhao +1
Unitary transformations formulate the time evolution of quantum states. How to learn a unitary transformation efficiently is a fundamental problem in quantum machine learning. The…