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Minimum error probability of quantum illumination

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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 strategies may 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.
Original languageEnglish
Article number012101
JournalPhysical Review A
Volume98
Issue number1
Number of pages5
ISSN2469-9926
DOIs
Publication statusPublished - 2 Jul 2018

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