## Quantum RadarThis book offers a concise review of quantum radar theory. Our approach is pedagogical, making emphasis on the physics behind the operation of a hypothetical quantum radar. We concentrate our discussion on the two major models proposed to date: interferometric quantum radar and quantum illumination. In addition, this book offers some new results, including an analytical study of quantum interferometry in the X-band radar region with a variety of atmospheric conditions, a derivation of a quantum radar equation, and a discussion of quantum radar jamming. This book assumes the reader is familiar with the basic principles of non-relativistic quantum mechanics, special relativity, and classical electrodynamics. Our discussion of quantum electrodynamics and its application to quantum radar is brief, but all the relevant equations are presented in the text. In addition, the reader is not required to have any specialized knowledge on classical radar theory. Table of Contents: Introduction / The Photon / Photon Scattering / Classical Radar Theory / Quantum Radar Theory / Quantum Radar Cross Section / Conclusions |

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### Contents

Introduction | 1 |

The Photon | 5 |

Photon Scattering | 21 |

Classical Radar Theory | 43 |

Quantum Radar Theory | 63 |

Quantum Radar Cross Section | 93 |

Conclusions | 111 |

Bibliography | 113 |

Authors Biography | 121 |

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absorption adaptive optics approximation assume atmospheric attenuation atoms Chapter Cited on page(s classical radar consequence deﬁned described description of specular detection detector discussed electromagnetic field electromagnetic wave electron energy entangled photons ﬁeld frequency Furthermore geometry given Heisenberg limit incident interaction interference pattern interferometric interferometric quantum radar LADAR large number light Maxwell equations measurement microwave photons mirror non-entangled photons number of photons ofphotons ofthe target operator optical regime phase estimation error photodetector photon number Phys physical quantization quantum computer quantum dots quantum electrodynamics quantum field quantum illumination quantum information quantum interferometry quantum mechanical quantum optics quantum radar cross quantum sensors quantum superposition radar cross section radar equation radar pulse radar system radar theory radiation Rayleigh scattering rectangular target shown in Figure sidelobe structure signal single photon SNR regime specular direction specular reflections standard quantum limit surface target within range transmitter visibility wavelength Young’s