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.
The generator corresponds only to the unerased qubits, and is given by H =∑N−t i=1 Zi
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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.