5 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…
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…
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…
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…