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Radar Sensor Technology

Tripartite correlation performance for use in quantum radar systems

Rory A. Bowell, Matthew J. Brandsema, Ram M. Narayanan, Stephen W. Howell, Jonathan M. Dilger

Published Apr 8, 2021• 4 citations
Publisher

Abstract

In recent years, quantum radar has focused entirely on using bipartite squeezed states of light as a mechanism for target detection. This paper studies the performance of a quantum radar that uses a tripartite squeezed state, whereby two signal beams are sent out towards the target which both correlate with the idler. It is found that for very low signal strengths, the bipartite has better performance. As the signal strength increases however, the tripartite becomes dominant. This result suggests that quantum radar (declared useful only in the low SNR regime) may possess more possibilities of increased performance at higher SNRs when different states are used for correlation. The bottleneck, of course, is the ability to generate transmit powers necessary to utilize.

DOI
10.1117/12.2588308

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In recent years, quantum radar has focused entirely on using bipartite squeezed states of light as a mechanism for target detection. This paper studies the performance of a quantum radar that uses a tripartite squeezed state, whereby two signal beams are sent out towards the target which both correlate with the idler. It is found that for very low signal strengths, the bipartite has better performance. As the signal strength increases however, the tripartite becomes dominant. This result suggests that quantum radar (declared useful only in the low SNR regime) may possess more possibilities of increased performance at higher SNRs when different states are used for correlation. The bottleneck, of course, is the ability to generate transmit powers necessary to utilize.
Quantum-based systems are an emerging topic of research due to their potential for increasing performance in a variety of classical systems.In radar and communication systems, quantum technologies have been explored in an effort to increase the correlation performance in the low signal-tonoise ratio (SNR) regime.While this increase has been shown both mathematically and in the laboratory using bipartite states, systems utilizing multi-partite squeezing and entanglement may lead to an even further performance increase.We investigate this by analyzing the correlation coefficient for a tripartite system electric field measurement to determine how it compares to the bipartite systems in the current literature for the same transmit powers.This is done by defining a tripartite wave function in terms of the mean photon number per mode then determining the covariance matrix from this wave function.This work is important in understanding how alternative states of light can be used for quantum radar applications.
Quantum radar is a remote sensing technique for target detection that has extensively been explored in conjunction with entangled two-mode squeezed vacuum states. This work extends the existing protocol to a scheme that utilizes a three-mode squeezed state with genuine tripartite entanglement. The three entangled modes are divided into two signal modes and one idler mode. A numerical evaluation of the Chernoff bound shows that the proposed protocol has the potential to offer a higher quantum advantage in specific parameter regimes.
Recently, much of the quantum radar/lidar research is focused on correlating single photon detection events with no delay line on the idler path. In other words, measuring the idler immediately, and correlating these events with later received photon events from the returning signal. This research approach has raised some questions due to the fact that all measurements done are classical, yet researchers are still observing sensor improvement in comparison to classical techniques. This therefore implies that the benefits from quantum radar/lidar using these techniques should be able to be explained entirely classically. This paper explores this concept by asserting that the correlation between the signals used in quantum remote sensing is largely due to the fact that the signal and idler photons are created simultaneously (which is only possible from an entangled source). We show, using very simple computer simulations, that having a single photon correlated (binary) waveform leads to correlation SNR advantages only in the low photon level regime, agreeing with previous literature.
Quantum radar is an emerging technique, currently at the experimental stage, that promises to disrupt the well-established field of conventional radar. Recent progress shows that it is possible to generate and use entangled pairs of microwave photons for detection purposes and to obtain an advantage over a classical radar. In this work, we study the currently experimentally feasible type of quantum correlation radar. To this end, we compare different radar architectures, quantum and classical, by analyzing their detection performances by means of the receiver operating characteristic (ROC), the minimum error probability as well as the Chernoff bound. The underlying system models are based on quantum mechanical formulations as well as conventional signal theory. Where it is appropriate and necessary to facilitate our analysis, we apply the central limit theorem to establish the Gaussianity of the observable quantities. A conceptual analogy between the quantum and classic points-of-view is drawn and supported by results showing the asymptotic behavior of the ROC curves of both physical descriptions depending on the power levels of signal and noise. We come to exact and comprehensible conclusions on the current state of quantum radar in comparison to classic radar with a detailed mapping of the radar operating regime (measurement time, signal-to-noise ratio, environmental noise level, target object size and distance) in which a quantum advantage is attainable.
Bipartite systems have become popular in emerging quantum radar and quantum communication systems.This paper analyzes the various correlation coefficients for different types of quantum radar measurement schemes, such as: (i) immediate detection of the idler photon events to be used in post-processing correlation with the signal photon events, (ii) immediate detection of the idler electric field to be used in post-processing correlation with the signal electric field, (iii) immediate detection of the idler quadratures to be used in post-processing correlation with the signal quadratures, and (iv) conventional analog correlation method of the optical parametric amplifier.The showcased results compare the performance of these different methodologies for various environmental scenarios.This work is important at developing the fundamentals behind quantum technologies that require covariance measurements and will permit more accurate selection of the appropriate measurement styles for individual systems.
The “quantum Radar” seeks to harness quantum entanglement and squeezing to improve the detection of faint targets beyond the best possible classical sensor. The major challenge of the quantum Radar is the very large optical loss of the target beam, which induces vacuum fluctuations and hampers the quantum correlation. In addition, the faint target reflection requires the use of high power beams, which favors high-power stimulated sources of coherent squeezed light over spontaneous low power sources of entangled photons. I will present the lossy SU1,1 nonlinear interferometer with coherent seeding as a candidate for quantum Radar sensing. I will highlight the quantum features of this sensor and report a demonstration of the quantum enhanced interference contrast, even in the presence of high loss.