Entanglement-magic separation in hybrid quantum circuits
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916492763725824 |
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| author | Fux, Gerald E. Tirrito, Emanuele Dalmonte, Marcello Fazio, Rosario |
| author_facet | Fux, Gerald E. Tirrito, Emanuele Dalmonte, Marcello Fazio, Rosario |
| contents | Magic describes the distance of a quantum state to its closest stabilizer state. It is -- like entanglement -- a necessary resource for a potential quantum advantage over classical computing. We study magic, quantified by stabilizer entropy, in a hybrid quantum circuit with projective measurements and a controlled injection of non-Clifford resources. We discover a phase transition between a (sub)-extensive and area law scaling of magic controlled by the rate of measurements. The same circuit also exhibits a phase transition in entanglement that appears, however, at a different critical measurement rate. This mechanism shows how, from the viewpoint of a potential quantum advantage, hybrid circuits can host multiple distinct transitions where not only entanglement, but also other non-linear properties of the density matrix come into play. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02039 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Entanglement-magic separation in hybrid quantum circuits Fux, Gerald E. Tirrito, Emanuele Dalmonte, Marcello Fazio, Rosario Quantum Physics Statistical Mechanics Magic describes the distance of a quantum state to its closest stabilizer state. It is -- like entanglement -- a necessary resource for a potential quantum advantage over classical computing. We study magic, quantified by stabilizer entropy, in a hybrid quantum circuit with projective measurements and a controlled injection of non-Clifford resources. We discover a phase transition between a (sub)-extensive and area law scaling of magic controlled by the rate of measurements. The same circuit also exhibits a phase transition in entanglement that appears, however, at a different critical measurement rate. This mechanism shows how, from the viewpoint of a potential quantum advantage, hybrid circuits can host multiple distinct transitions where not only entanglement, but also other non-linear properties of the density matrix come into play. |
| title | Entanglement-magic separation in hybrid quantum circuits |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2312.02039 |