The entropic coherence is a necessary resource for non-energy preserving gates
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909765320310784 |
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| author | Castellano, Riccardo Cavina, Vasco Perarnau-Llobet, Marti Giovannetti, Vittorio Sekatski, Pavel |
| author_facet | Castellano, Riccardo Cavina, Vasco Perarnau-Llobet, Marti Giovannetti, Vittorio Sekatski, Pavel |
| contents | We consider the task of implementing non-energy preserving gates (NEPG) on a finite-dimensional system S via an energy-preserving interaction with an external battery B. We prove that the entropic coherence of the battery (an instance of the relative entropy of resource) is a necessary resource for this task, and find a lower bound on its minimum amount that has to be present in the battery to be able to implement NEPGs with a fixed desired precision. An immediate corollary is that any finite-dimensional battery is doomed to a certain minimal error in the gate implementation task. Moreover, under assumptions on the density of energy levels in the battery Hamiltonian, our main results imply additional lower bounds on the minimal amount of energy and quantum Fisher information required to implement any gate. We show that these bounds can be stronger than the universal bounds previously established in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The entropic coherence is a necessary resource for non-energy preserving gates Castellano, Riccardo Cavina, Vasco Perarnau-Llobet, Marti Giovannetti, Vittorio Sekatski, Pavel Quantum Physics We consider the task of implementing non-energy preserving gates (NEPG) on a finite-dimensional system S via an energy-preserving interaction with an external battery B. We prove that the entropic coherence of the battery (an instance of the relative entropy of resource) is a necessary resource for this task, and find a lower bound on its minimum amount that has to be present in the battery to be able to implement NEPGs with a fixed desired precision. An immediate corollary is that any finite-dimensional battery is doomed to a certain minimal error in the gate implementation task. Moreover, under assumptions on the density of energy levels in the battery Hamiltonian, our main results imply additional lower bounds on the minimal amount of energy and quantum Fisher information required to implement any gate. We show that these bounds can be stronger than the universal bounds previously established in the literature. |
| title | The entropic coherence is a necessary resource for non-energy preserving gates |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2509.01515 |