Quantifying non-stabilizerness through entanglement spectrum flatness
- URL: http://arxiv.org/abs/2304.01175v2
- Date: Wed, 8 May 2024 09:19:00 GMT
- Title: Quantifying non-stabilizerness through entanglement spectrum flatness
- Authors: Emanuele Tirrito, Poetri Sonya Tarabunga, Gugliemo Lami, Titas Chanda, Lorenzo Leone, Salvatore F. E. Oliviero, Marcello Dalmonte, Mario Collura, Alioscia Hamma,
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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