Information gain and measurement disturbance for quantum agents
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arXiv
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| Format: | Preprint |
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2024
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| author | Pang, Arthur O. T. Lupu-Gladstein, Noah Yilmaz, Y. Batuhan Brodutch, Aharon Steinberg, Aephraim M. |
| author_facet | Pang, Arthur O. T. Lupu-Gladstein, Noah Yilmaz, Y. Batuhan Brodutch, Aharon Steinberg, Aephraim M. |
| contents | The traditional formalism of quantum measurement (hereafter ``TQM'') describes processes where some properties of quantum states are extracted and stored as classical information. While TQM is a natural and appropriate description of how humans interact with quantum systems, it is silent on the question of how a more general, quantum, agent would do so. How do we describe the observation of a system by an observer with the ability to store not only classical information but quantum states in its memory? In this paper, we extend the idea of measurement to a more general class of sensors for quantum agents which interact with a system in such a way that the agent's memory stores information (classical or quantum) about the system under study. For appropriate sensory interactions, the quantum agent may ``learn'' more about the system than would be possible under any set of classical measurements -- but as we show, this comes at the cost of additional measurement disturbance. We experimentally demonstrate such a system and characterize the tradeoffs, which can be done by considering the information required to erase the effects of a measurement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08060 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Information gain and measurement disturbance for quantum agents Pang, Arthur O. T. Lupu-Gladstein, Noah Yilmaz, Y. Batuhan Brodutch, Aharon Steinberg, Aephraim M. Quantum Physics The traditional formalism of quantum measurement (hereafter ``TQM'') describes processes where some properties of quantum states are extracted and stored as classical information. While TQM is a natural and appropriate description of how humans interact with quantum systems, it is silent on the question of how a more general, quantum, agent would do so. How do we describe the observation of a system by an observer with the ability to store not only classical information but quantum states in its memory? In this paper, we extend the idea of measurement to a more general class of sensors for quantum agents which interact with a system in such a way that the agent's memory stores information (classical or quantum) about the system under study. For appropriate sensory interactions, the quantum agent may ``learn'' more about the system than would be possible under any set of classical measurements -- but as we show, this comes at the cost of additional measurement disturbance. We experimentally demonstrate such a system and characterize the tradeoffs, which can be done by considering the information required to erase the effects of a measurement. |
| title | Information gain and measurement disturbance for quantum agents |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.08060 |