Exclusive Control of Quantum Memory Erasure
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917128079147008 |
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| author | Alimuddin, Mir Shettell, Nathan Yehia, Raja Acín, Antonio Centrone, Federico |
| author_facet | Alimuddin, Mir Shettell, Nathan Yehia, Raja Acín, Antonio Centrone, Federico |
| contents | Erasing memory is a fundamental operational task in quantum information processing, governed by Landauer's principle, which links information loss to thermodynamic work. We introduce and analyze assisted quantum erasure, where correlations with a remote system reduce the energetic cost of resetting a memory. We identify exclusive control of erasure as the central operational requirement: only a designated party should be able to achieve the minimal cost, while any adversary necessarily fails. In the device-dependent regime, we show that entanglement of formation exactly characterizes exclusivity, establishing entanglement as the decisive thermodynamic resource. Moving to a one-sided device-independent scenario, in which only the memory holder's device is trusted, we develop an operational erasure protocol based on random dephasing and conditional operations. These results elevate quantum erasure from a thermodynamic constraint to an operational primitive: the erasure work cost quantifies secure, exclusive control over quantum memory, guaranteeing that an unauthorized agent cannot fully erase information under bounded work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05761 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exclusive Control of Quantum Memory Erasure Alimuddin, Mir Shettell, Nathan Yehia, Raja Acín, Antonio Centrone, Federico Quantum Physics Erasing memory is a fundamental operational task in quantum information processing, governed by Landauer's principle, which links information loss to thermodynamic work. We introduce and analyze assisted quantum erasure, where correlations with a remote system reduce the energetic cost of resetting a memory. We identify exclusive control of erasure as the central operational requirement: only a designated party should be able to achieve the minimal cost, while any adversary necessarily fails. In the device-dependent regime, we show that entanglement of formation exactly characterizes exclusivity, establishing entanglement as the decisive thermodynamic resource. Moving to a one-sided device-independent scenario, in which only the memory holder's device is trusted, we develop an operational erasure protocol based on random dephasing and conditional operations. These results elevate quantum erasure from a thermodynamic constraint to an operational primitive: the erasure work cost quantifies secure, exclusive control over quantum memory, guaranteeing that an unauthorized agent cannot fully erase information under bounded work. |
| title | Exclusive Control of Quantum Memory Erasure |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.05761 |