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Optimal Strategies of Quantum Metrology with a Strict Hierarchy
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One of the main quests in quantum metrology is to attain the ultimate precision limit with given resources, where the resources are not only of the number of queries, but more importantly of the allowed strategies. With the same number of queries, the restrictions on the strategies constrain the achievable precision. In this work, we establish a systematic framework to identify the ultimate precision limit of different families of strategies, including the parallel, the sequential, and the indefinite-causal-order strategies, and provide an efficient algorithm that determines an optimal strategy within the family of strategies under consideration. With our framework, we show there exists a strict hierarchy of the precision limits for different families of strategies.
Forward citations
Cited by 2 Pith papers
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Routing Quantum Control of Causal Order
Every N-party quantum circuit with quantum control of causal order can be represented as a routed quantum circuit built from one fixed routed graph G_QC-QC(N).
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Optimal quantum metrology under energy constraints
Energy-constrained phase estimation has an ultimate precision scaling of 1/E² for unbounded dimension, and causal-superposition strategies can outperform definite-order strategies under the same energy budget.
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