Quantum illumination is a technique for detecting the presence of a target in a noisy environment by means of a quantum probe. We prove that the two-mode squeezed vacuum state is the optimal probe for quantum illumination in the scenario of asymmetric discrimination, where the goal is to minimize the decay rate of the probability of a false positive with a given probability of a false negative. Quantum illumination with two-mode squeezed vacuum states offers a 6 dB advantage in the error probability exponent compared to illumination with coherent states. Whether more advanced quantum illumination strategiesmay offer further improvements had been a longstanding open question. Our fundamental result proves that nothing can be gained by considering more exotic quantum states, such as, e.g., multimode entangled states. Our proof is based on a fundamental entropic inequality for the noisy quantum Gaussian attenuators. We also prove that without access to a quantum memory, the optimal probes for quantum illumination are the coherent states.
|Titolo:||Minimum error probability of quantum illumination|
|Data di pubblicazione:||2018|
|Settore Scientifico Disciplinare:||Settore FIS/03 - Fisica della Materia|
Settore MAT/07 - Fisica Matematica
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevA.98.012101|
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