Quantifying non-stabilizerness through entanglement spectrum flatness
Abstract
Non-stabilizerness - also colloquially referred to as magic - is the a resource for advantage in quantum computing and lies in the access to non-Clifford operations. Developing a comprehensive understanding of how non-stabilizerness can be quantified and how it relates other quantum resources is crucial for studying and characterizing the origin of quantum complexity. In this work, we establish a direct connection between non-stabilizerness and entanglement spectrum flatness for a pure quantum state. We show that this connection can be exploited to efficiently probe non-stabilizerness even in presence of noise. Our results reveal a direct connection between non-stabilizerness and entanglement response, and define a clear experimental protocol to probe non-stabilizerness in cold atom and solid-state platforms.
Cite
@article{arxiv.2304.01175,
title = {Quantifying non-stabilizerness through entanglement spectrum flatness},
author = {Emanuele Tirrito and Poetri Sonya Tarabunga and Gugliemo Lami and Titas Chanda and Lorenzo Leone and Salvatore F. E. Oliviero and Marcello Dalmonte and Mario Collura and Alioscia Hamma},
journal= {arXiv preprint arXiv:2304.01175},
year = {2024}
}