57 citations · 547 across the 47 of their papers we have counts for
47 papers
The Quantum Perron-Frobenius Space
Linzhe Huang, Arthur Jaffe, Zhengwei Liu +1
We introduce -positive elements in planar algebras. We establish the Perron-Frobenius theorem for -positive elements. We study the existence and uniquen…
Stabilizer Testing and Magic Entropy via Quantum Fourier Analysis
Kaifeng Bu, Weichen Gu, Arthur Jaffe
Quantum Fourier analysis is an important topic in mathematical physics. We introduce a systematic protocol for testing and measuring ``magic'' in quantum states and gates, using a…
Discrete Quantum Gaussians and Central Limit Theorem
Kaifeng Bu, Weichen Gu, Arthur Jaffe
We introduce a quantum convolution and a conceptual framework to study states in discrete-variable (DV) quantum systems. All our results suggest that stabilizer states play a role…
Quantum Entropy and Central Limit Theorem
Kaifeng Bu, Weichen Gu, Arthur Jaffe
We introduce a framework to study discrete-variable (DV) quantum systems based on qudits. It relies on notions of a mean state (MS), a minimal stabilizer-projection state (MSPS), a…
Magic of Random Matrix Product States
Liyuan Chen, Roy J. Garcia, Kaifeng Bu +1
Magic, or nonstabilizerness, characterizes how far away a state is from the stabilizer states, making it an important resource in quantum computing, under the formalism of the Gott…
Wasserstein Complexity of Quantum Circuits
Lu Li, Kaifeng Bu, Dax Enshan Koh +2
Given a unitary transformation, what is the size of the smallest quantum circuit that implements it? This quantity, known as the quantum circuit complexity, is a fundamental proper…