Abstract
Quantum illumination employs entangled states to detect a weakly reflecting target in a thermal bath. The performance of a given entangled state is evaluated from the minimum error probability in the asymptotic limit, which is compared against the optimal coherent state scheme. Using a relationship between the minimum error probability and quantum Fisher information, we compare the optimal performance of definite photon-number entangled states against that of coherent states under local repetitive strategies. When optimized under the constraint of a fixed total energy, we find that a coherent state outperforms the definite photon-number entangled states with the same signal energy.
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