32 papers
Fundamental limits for thermodynamic control with quantum feedback
Kaiyuan Ji, Gilad Gour, Mark M. Wilde
The study of feedback control inspired by Maxwell's demon is central to the understanding of the relationship between thermodynamics and information. In this paper, we establish fu…
Improved sample complexity bound for sample-based Lindbladian simulation
Siheon Park, Youngjin Seo, Byeongseon Go +3
We establish improved sample-complexity bounds for sample-based Lindbladian simulation based on the Wave Matrix Lindbladization (WML) algorithm. For a jump operator with dimens…
Quantum principal component analysis without eigenvector recovery
Yewei Yuan, Michele Minervini, Mark M. Wilde +1
Principal component analysis (PCA) is traditionally implemented through a covariance or kernel matrix, leading-eigenvector extraction, and hard rank- projection. These steps can…
Bose-Einstein thermal operators for semidefinite optimization
Michele Minervini, Nana Liu, Mark M. Wilde
We establish that semidefinite programs (SDPs) over the unbounded positive semidefinite cone are mathematically equivalent to thermodynamic systems of independent bosonic modes: th…
Fermi-Dirac machines as quantizations of neurons
Alexander He, Nana Liu, Mark M. Wilde
Fermi-Dirac machines were proposed recently as an approach to solving semidefinite optimization problems on quantum computers. Here, we reinterpret them as canonical quantizations…
Central Limit Theorem for Bosonic Quantum Channels
Hami Mehrabi, Ludovico Lami, Mark M. Wilde
In this paper, we develop an extension of the Central Limit Theorem (CLT) to the setting of bosonic quantum channels. This extension provides a deeper understanding of Gaussian bos…