Quantifying non-stabilizerness through entanglement spectrum flatness
Fuente:
arXiv
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| Autori principali: | , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914787967893504 |
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| author | Tirrito, Emanuele Tarabunga, Poetri Sonya Lami, Gugliemo Chanda, Titas Leone, Lorenzo Oliviero, Salvatore F. E. Dalmonte, Marcello Collura, Mario Hamma, Alioscia |
| author_facet | Tirrito, Emanuele Tarabunga, Poetri Sonya Lami, Gugliemo Chanda, Titas Leone, Lorenzo Oliviero, Salvatore F. E. Dalmonte, Marcello Collura, Mario Hamma, Alioscia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01175 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantifying non-stabilizerness through entanglement spectrum flatness Tirrito, Emanuele Tarabunga, Poetri Sonya Lami, Gugliemo Chanda, Titas Leone, Lorenzo Oliviero, Salvatore F. E. Dalmonte, Marcello Collura, Mario Hamma, Alioscia Quantum Physics 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. |
| title | Quantifying non-stabilizerness through entanglement spectrum flatness |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2304.01175 |