Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918485476507648 |
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| author | Martinez-Azcona, Pablo Sarkis, Matthieu Tkatchenko, Alexandre Chenu, Aurélia |
| author_facet | Martinez-Azcona, Pablo Sarkis, Matthieu Tkatchenko, Alexandre Chenu, Aurélia |
| contents | Universal quantum computers require entanglement and non-stabilizerness, a resource known as \textit{quantum magic}. Here, we introduce a protocol that prepares magic steady states by leveraging non-Hermitian dynamics, which, contrary to unitary dynamics, can host pure-state attractors. By studying the dissipative qubit, we find the optimal parameters to prepare $|H\rangle$ and $|T\rangle$ steady states. Interestingly, this approach does not require knowledge or preparation of a particular initial state, since all the states of the Bloch sphere converge to the engineered target steady state. We also consider the addition of classical noise in the anti-hermitian part and provide the regimes for which the noisy dynamics still converges to high magic states. We also introduce a dissipative protocol to prepare magic steady states, compare the approaches with magic state cultivation and provide a particular realization of the non-Hermitian scheme in a cat qubit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08676 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways Martinez-Azcona, Pablo Sarkis, Matthieu Tkatchenko, Alexandre Chenu, Aurélia Quantum Physics Universal quantum computers require entanglement and non-stabilizerness, a resource known as \textit{quantum magic}. Here, we introduce a protocol that prepares magic steady states by leveraging non-Hermitian dynamics, which, contrary to unitary dynamics, can host pure-state attractors. By studying the dissipative qubit, we find the optimal parameters to prepare $|H\rangle$ and $|T\rangle$ steady states. Interestingly, this approach does not require knowledge or preparation of a particular initial state, since all the states of the Bloch sphere converge to the engineered target steady state. We also consider the addition of classical noise in the anti-hermitian part and provide the regimes for which the noisy dynamics still converges to high magic states. We also introduce a dissipative protocol to prepare magic steady states, compare the approaches with magic state cultivation and provide a particular realization of the non-Hermitian scheme in a cat qubit. |
| title | Magic Steady State Production: Non-Hermitian, Dissipative, and Stochastic Pathways |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.08676 |