9 papers
Certifying entanglement dimensionality by -reduction moments
Changhao Yi, Xiaodi Li, Huangjun Zhu
In this paper, we combine the k-reduction map, the moment method, and the classical shadow method into a practical protocol for certifying the entanglement dimensionality. Our appr…
A Symmetry-Enabled Direct Quantum Protocol for Many-Body Green's Functions
Changhao Yi, Cunlu Zhou
We present a symmetry-enabled direct quantum protocol for computing many-body Green's functions, a central tool for studying strongly correlated quantum systems. Our protocol relie…
Certifying entanglement dimensionality by random Pauli sampling
Changhao Yi
We introduce a Pauli-measurement-based algorithm to certify the Schmidt number of -qubit pure states. Our protocol achieves an average-case sample complexity of $\caO(\mathrm{po…
Nearly query-optimal classical shadow estimation of unitary channels
Zihao Li, Changhao Yi, You Zhou +1
Classical shadow estimation (CSE) is a powerful tool for learning the properties of quantum states and quantum processes. Here we consider the CSE task for quantum unitary channels…
Optimal estimation of three parallel spins with genuine and restricted collective measurements
Changhao Yi, Kai Zhou, Zhibo Hou +2
Collective measurements on identical and independent quantum systems can offer advantages in information extraction compared with individual measurements. However, little is known…
Experimental Realization of Genuine Three-copy Collective Measurements for Optimal Information Extraction
Kai Zhou, Changhao Yi, Wen-Zhe Yan +5
Nonclassical phenomena tied to entangled states are the focus of foundational studies and powerful resources in many applications. By contrast, the counterparts in quantum measurem…