Charging a quantum spin network towards Heisenberg-limited precision
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866913922443902976 |
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| author | Donelli, Beatrice Gherardini, Stefano Marino, Raffaele Campaioli, Francesco Buffoni, Lorenzo |
| author_facet | Donelli, Beatrice Gherardini, Stefano Marino, Raffaele Campaioli, Francesco Buffoni, Lorenzo |
| contents | We present a cooperative protocol to charge quantum spin networks up to the highest-energy configuration, in terms of the network's magnetization. The charging protocol leverages spin-spin interactions and the crossing of a phase transition's critical point. Exploiting collective dynamics of the spin network, the cooperative protocol guarantees a precision advantage over any local charging protocol and leads to fluctuations (standard deviation) of the magnetization that scale as $1/N$, with $N$ being the number of spins in the network, i.e., the size of the spin battery. These findings mirror the Heisenberg limit for precision for parameter estimation in quantum metrology. We test our protocol on the D-Wave's Advantage quantum processing unit by charging sub-lattices with sizes ranging from $40$ to $5\,612$ spins, achieving the maximum magnetization and reaching a scalable charging precision beyond the standard quantum limit of $1/\sqrt{N}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22212 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Charging a quantum spin network towards Heisenberg-limited precision Donelli, Beatrice Gherardini, Stefano Marino, Raffaele Campaioli, Francesco Buffoni, Lorenzo Quantum Physics We present a cooperative protocol to charge quantum spin networks up to the highest-energy configuration, in terms of the network's magnetization. The charging protocol leverages spin-spin interactions and the crossing of a phase transition's critical point. Exploiting collective dynamics of the spin network, the cooperative protocol guarantees a precision advantage over any local charging protocol and leads to fluctuations (standard deviation) of the magnetization that scale as $1/N$, with $N$ being the number of spins in the network, i.e., the size of the spin battery. These findings mirror the Heisenberg limit for precision for parameter estimation in quantum metrology. We test our protocol on the D-Wave's Advantage quantum processing unit by charging sub-lattices with sizes ranging from $40$ to $5\,612$ spins, achieving the maximum magnetization and reaching a scalable charging precision beyond the standard quantum limit of $1/\sqrt{N}$. |
| title | Charging a quantum spin network towards Heisenberg-limited precision |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.22212 |