18 citations · 30 across the 6 of their papers we have counts for
6 papers · 1 filter
Quantum Higher Order Fourier Analysis and the Clifford Hierarchy
Kaifeng Bu, Weichen Gu, Arthur Jaffe
We propose a mathematical framework that we call quantum, higher-order Fourier analysis. This generalizes the classical theory of higher-order Fourier analysis, which led to many a…
On the Hardness of Measuring Magic
Roy J. Garcia, Gaurav Bhole, Kaifeng Bu +3
Quantum computers promise to solve computational problems significantly faster than classical computers. These 'speed-ups' are achieved by utilizing a resource known as magic. Meas…
Correlated decoding of logical algorithms with transversal gates
Madelyn Cain, Chen Zhao, Hengyun Zhou +5
Quantum error correction is believed to be essential for scalable quantum computation, but its implementation is challenging due to its considerable space-time overhead. Motivated…
Magic Class and the Convolution Group
Kaifeng Bu, Arthur Jaffe, Zixia Wei
The classification of many-body quantum states plays a fundamental role in the study of quantum phases of matter. In this work, we propose an approach to classify quantum states by…
Quantum Ruzsa Divergence to Quantify Magic
Kaifeng Bu, Weichen Gu, Arthur Jaffe
In this work, we investigate the behavior of quantum entropy under quantum convolution and its application in quantifying magic. We first establish an entropic, quantum central lim…
Magic Resource Can Enhance the Quantum Capacity of Channels
Kaifeng Bu, Arthur Jaffe
We investigate the role of magic resource in the quantum capacity of channels. We consider the quantum channel of the recently proposed discrete beam splitter with the fixed enviro…