7 papers
Tensor-Based Joint Pitch and DOA Estimation
Yifan Wu, Michael B. Wakin
We propose a tensor-based subspace method for the joint estimation of pitch and direction of arrival (DOA) of multiple harmonic sources. Unlike conventional matrix-based approaches…
Bounds on Prediction Error When Using an Impulse Response/Equilibrium Model Structure
Tyrone L. Vincent, Michael B. Wakin
An impulse response/equilibrium model (IREM) structure combines a linear convolution model with a nonlinear function that sets the current operating point via an equilibrium variab…
Statistical and Algorithmic Foundations of Probing Quantum Systems with Compressive Measurements: A Review
Zhen Qin, Michael B. Wakin, Zhihui Zhu
Quantum state tomography (QST) is a fundamental task in quantum information science that aims to reconstruct unknown quantum states from measurement data. However, the exponential…
An Exponential Advantage for Adaptive Tomography of Structured States under Pauli Basis Measurements
Alireza Goldar, Zhen Qin, Zhihui Zhu +2
Broad claims about whether adaptivity helps in quantum state tomography can be misleading unless the state family, measurement architecture, and error metric are specified carefull…
Sample-Efficient Quantum State Tomography for Structured Quantum States in One Dimension
Zhen Qin, Casey Jameson, Alireza Goldar +3
While quantum state tomography (QST) remains the gold standard for benchmarking and verifying quantum devices, it requires an exponentially large number of measurements and classic…
Guaranteed Nonconvex Factorization Approach for Tensor Train Recovery
Zhen Qin, Michael B. Wakin, Zhihui Zhu
In this paper, we provide the first convergence guarantee for the factorization approach. Specifically, to avoid the scaling ambiguity and to facilitate theoretical analysis, we op…