Explicit symmetric 'gnu' probe states from permutation-invariant codes provably retain Heisenberg scaling of quantum Fisher information under a constant number of erasure errors or a single dephasing error.
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abstract
We propose a quantum metrology protocol for the localization of a non-cooperative point-like target in three-dimensional space, by illuminating it with electromagnetic waves. It employs all the spatial degrees of freedom of N entangled photons to achieve an uncertainty in localization that is sqrt(N) times smaller for each spatial direction than what could be achieved by N independent photons.
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Robust quantum metrology with explicit symmetric states
Explicit symmetric 'gnu' probe states from permutation-invariant codes provably retain Heisenberg scaling of quantum Fisher information under a constant number of erasure errors or a single dephasing error.