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Informationally complete distributed metrology without a shared reference frame
DOI:10.1038/s41467-025-67771-9.png)
Abstract
En 中文
In quantum information processing, implementing arbitrary preparations and measurements on qubits necessitates precise information to identify a specific reference frame (RF). In space quantum communication and sensing, where a shared RF is absent, the interplay between locality and symmetry imposes fundamental restrictions on physical systems. A restriction on realizable unitary operations results in a no-go theorem prohibiting the extraction of locally encoded information in RF-independent distributed metrology. Here, we propose a reversed-encoding method applied to two copies of local-unitary-invariant network states. This approach circumvents the no-go theorem while simultaneously mitigating decoherence-like noise caused by RF misalignment, thereby enabling the complete recovery of the quantum Fisher information (QFI). Furthermore, we confirm local Bell-state measurements as an optimal strategy to saturate the QFI. Our findings pave the way for the field application of distributed quantum sensing, which is inherently subject to unknown RF misalignment and was previously precluded by the no-go theorem. Distributed quantum sensing typically requires shared reference frames to coordinate measurements. Here, authors develop a reversed-encoding protocol that circumvents this requirement, enabling Heisenberg-limited precision in quantum networks without frame alignment.
Keywords:
distributed metrology
quantum Fisher information
reference frame
no-go theorem
reversed-encoding
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