4 papers
Finite-Sample Selected Covariance Spectra in Classical Shadows
Masahito Hayashi
We study finite-sample estimation of selected covariance matrices of classical-shadow outputs. For a general shadow-output vector, we consider its covariance matrix and a fixed sel…
Causal-Order Identification of Memoryless Sequential Quantum Processes from Restricted Projective Data
Masahito Hayashi
Identifying causal order from restricted projective data is generally nontrivial. When two quantum players interact only through an unobserved environment, the available local meas…
The Cramér-Rao approach and global quantum estimation of bosonic states
Masahito Hayashi, Yingkai Ouyang
Quantum state estimation is a fundamental task in quantum information theory, where one estimates real parameters continuously embedded in a family of quantum states. In the theory…
Finding the optimal probe state for multiparameter quantum metrology using conic programming
Masahito Hayashi, Yingkai Ouyang
The aim of the channel estimation is to estimate the parameters encoded in a quantum channel. For this aim, it is allowed to choose the input state as well as the measurement to ge…