دسته بندی:

محاسبات کوانتومی - Quantum-Computing

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سال انتشار:

2022

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عنوان انگلیسی مقاله:

Measurement-Induced Boolean Dynamics for Open Quantum Networks

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ترجمه فارسی عنوان مقاله:

دینامیک بولی ناشی از اندازه گیری برای شبکه های کوانتومی باز

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منبع:

ieee - ieee Transactions on Control of Network Systems;2022;PP;99;10:1109/TCNS:2022:3188480

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نویسنده:

Hongsheng Qi; Biqiang Mu; Ian R. Petersen; Guodong Shi

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چکیده انگلیسی:

In this paper, we study the recursion corresponding to the measurement outcomes for open quantum networks under sequential measurements. Open quantum networks are networked quantum subsystems (e.g., qubits) with the state evolutions described by a continuous Lindblad master equation. When measurements are performed sequentially along such continuous dynamics, the quantum network states undergo probabilistic jumps and the corresponding measurement outcomes can be described by a vector of probabilistic Boolean variables. The induced recursion of the Boolean vectors forms a probabilistic Boolean network. First of all, we show that the state transition of the induced Boolean network can be explicitly represented through a real version of the master equation. Next, when the open quantum dynamics are relaxing in the sense that they possess a unique equilibrium as a global attractor, structural properties including absorbing states, reducibility, and periodicity for the induced Boolean network are direct consequences of this relaxing property. Particularly, we show that generically, relaxing quantum dynamics lead to irreducible and aperiodic chains for the measurement outcomes. Finally, we show that for quantum consensus networks which are a type of non-relaxing open quantum network dynamics, the communication classes of the measurement-induced Boolean networks are encoded in the quantum Laplacian of the underlying interaction graph.
Index Terms: quantum networks | open quantum systems | quantum measurements | Boolean networks

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قیمت: رایگان

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توضیحات اضافی:

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