Effective information bounds in modified quantum mechanics
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909176606752768 |
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| author | Aghababaei, Sarah Moradpour, Hooman Wani, Salman Sajad Marino, Francesco Shah, Naveed Ahmad Faizal, Mir |
| author_facet | Aghababaei, Sarah Moradpour, Hooman Wani, Salman Sajad Marino, Francesco Shah, Naveed Ahmad Faizal, Mir |
| contents | A common feature of collapse models and an expected signature of the quantization of gravity at energies well below the Planck scale is the deviation from ordinary quantum-mechanical behavior. Here, we analyze the general consequences of such modifications from the point of view of quantum information theory and we anticipate applications to different quantum systems. We show that quantum systems undergo corrections to the quantum speed limit which, in turn, imply the modification of the Heisenberg limit for parameter estimation. Our results hold for a wide class of scenarios beyond ordinary quantum mechanics. For some nonlocal models inspired by quantum gravity, the bounds are found to oscillate in time, an effect that could be tested in future high-precision quantum experiments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_09227 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Effective information bounds in modified quantum mechanics Aghababaei, Sarah Moradpour, Hooman Wani, Salman Sajad Marino, Francesco Shah, Naveed Ahmad Faizal, Mir Quantum Physics High Energy Physics - Theory A common feature of collapse models and an expected signature of the quantization of gravity at energies well below the Planck scale is the deviation from ordinary quantum-mechanical behavior. Here, we analyze the general consequences of such modifications from the point of view of quantum information theory and we anticipate applications to different quantum systems. We show that quantum systems undergo corrections to the quantum speed limit which, in turn, imply the modification of the Heisenberg limit for parameter estimation. Our results hold for a wide class of scenarios beyond ordinary quantum mechanics. For some nonlocal models inspired by quantum gravity, the bounds are found to oscillate in time, an effect that could be tested in future high-precision quantum experiments. |
| title | Effective information bounds in modified quantum mechanics |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2211.09227 |