8 papers
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…
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 -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…
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…
Third moments of qudit Clifford orbits and 3-designs based on magic orbits
Huangjun Zhu, Chengsi Mao, Changhao Yi
When the local dimension is an odd prime, the qudit Clifford group is only a 2-design, but not a 3-design, unlike the qubit counterpart. This distinction and its extension to C…
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…