The maximum advantage of quantum illumination
arXiv:1902.05587 · doi:10.1103/PhysRevA.100.012327
Abstract
Discriminating between quantum states is a fundamental problem in quantum information protocols. The optimum approach saturates the Helstrom bound, which quantifies the unavoidable error probability of mistaking one state for another. Computing the error probability directly requires complete knowledge and diagonalization of the density matrices describing these states. Both of these fundamental requirements become impractically difficult to obtain as the dimension of the states grow large. In this article, we analyze quantum illumination as a quantum channel discrimination protocol and circumvent these issues by using the normalized Hilbert-Schmidt inner product as a measure of distinguishability. Using this measure, we show that the greatest advantage gained by quantum illumination over conventional illumination occurs when one uses a Bell state.
arXiv comment6 pages, 1 figure
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- Propagating Quantum Microwaves: Towards Applications in Communication and Sensing
- Quantum illumination via quantum-enhanced sensing
- Experimental Quantum Target Detection Approaching the Fundamental Helstrom Limit
- Quantum illumination receiver using double homodyne detection
- Bi-frequency illumination: a quantum-enhanced protocol