Swap tests on ancilla qubits project Fock and coherent states onto NOON and entangled coherent states inside a Mach-Zehnder interferometer, recovering Heisenberg scaling while tolerating biased ancilla phase-flip noise.
When the cat ancilla is in the logical state |0L⟩ =|β⟩, the two gates cancel each other since U+ = U† − and the joint state of the fields is unchanged
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Swap-test interferometry with biased ancilla noise
Swap tests on ancilla qubits project Fock and coherent states onto NOON and entangled coherent states inside a Mach-Zehnder interferometer, recovering Heisenberg scaling while tolerating biased ancilla phase-flip noise.