Quantum estimation through a bottleneck. (English) Zbl 1509.81224
Summary: We study the estimation of a single parameter characterizing families of unitary transformations acting on two systems. We consider the situation with the presence of bottleneck, i.e., only one of the systems can be measured to gather information. The estimation capabilities are related to unitaries’ generators. In particular, we establish continuity of quantum Fisher information with respect to generators. Furthermore, we find conditions on the generators to achieve the same maximum quantum Fisher information we would have in the absence of bottleneck. We also discuss the usefulness of initial entanglement across the two systems as well as across multiple estimation instances.
MSC:
| 81P50 | Quantum state estimation, approximate cloning |
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
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