Nonstabilizerness of Permutationally Invariant Systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913549528334336 |
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| author | Passarelli, Gianluca Fazio, Rosario Lucignano, Procolo |
| author_facet | Passarelli, Gianluca Fazio, Rosario Lucignano, Procolo |
| contents | Typical measures of nonstabilizerness of a system of $N$ qubits require computing $4^N$ expectation values, one for each Pauli string in the Pauli group, over a state of dimension $2^N$. For permutationally invariant systems, this exponential overhead can be reduced to just $O(N^3)$ expectation values on a state with a dimension $O(N)$. We exploit this simplification to study the nonstabilizerness phase transitions of systems with hundreds of qubits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08551 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonstabilizerness of Permutationally Invariant Systems Passarelli, Gianluca Fazio, Rosario Lucignano, Procolo Quantum Physics Typical measures of nonstabilizerness of a system of $N$ qubits require computing $4^N$ expectation values, one for each Pauli string in the Pauli group, over a state of dimension $2^N$. For permutationally invariant systems, this exponential overhead can be reduced to just $O(N^3)$ expectation values on a state with a dimension $O(N)$. We exploit this simplification to study the nonstabilizerness phase transitions of systems with hundreds of qubits. |
| title | Nonstabilizerness of Permutationally Invariant Systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.08551 |