Super-resolving quantum radar: Coherent-state sources with homodyne detection suffice to beat the diffraction limit

There has been much recent interest in quantum metrology for applications to sub-Raleigh ranging and remote sensing such as in quantum radar. For quantum radar, atmospheric absorption and diffraction rapidly degrades any actively transmitted quantum states of light, such as N00N states, so that for this high-loss regime the optimal strategy is to transmit coherent states of light, which suffer no worse loss than the linear Beer's law for classical radar attenuation, and which provide sensitivity at the shot-noise limit in the returned power. We show that coherent radar radiation sources, coupled with a quantum homodyne detection scheme, provide both longitudinal and angular super-resolution much below the Rayleigh diffraction limit, with sensitivity at shot-noise in terms of the detected photon power. Our approach provides a template for the development of a complete super-resolving quantum radar system with currently available technology.

[1]  Kaushik P. Seshadreesan,et al.  Phase estimation at the quantum Cramér-Rao bound via parity detection , 2013 .

[2]  P. Knight,et al.  Introductory Quantum Optics: Frontmatter , 2004 .

[3]  Abrams,et al.  Quantum interferometric optical lithography: exploiting entanglement to beat the diffraction limit , 1999, Physical review letters.

[4]  A. Royer Wigner function as the expectation value of a parity operator , 1977 .

[5]  Aaron J. Miller,et al.  Noise-free high-efficiency photon-number-resolving detectors , 2005, quant-ph/0506175.

[6]  Brian J. Smith,et al.  Optimal quantum phase estimation. , 2008, Physical review letters.

[7]  Gerald Gilbert,et al.  Aspects of practical remote quantum sensing , 2008 .

[8]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[9]  Y. Weinstein,et al.  Use of maximally entangled N-photon states for practical quantum interferometry , 2008 .

[10]  P. Knight,et al.  Introductory quantum optics , 2004 .

[11]  Jonathan P. Dowling,et al.  Super-resolution at the shot-noise limit with coherent states and photon-number-resolving detectors , 2009, 0907.2382.

[12]  J. Lavoie,et al.  Quantum-inspired interferometry with chirped laser pulses , 2008, 0804.4022.

[13]  Hwang Lee,et al.  Sub-shot-noise quantum optical interferometry: a comparison of entangled state performance within a unified measurement scheme , 2008, 0803.0155.

[14]  Tae-Woo Lee,et al.  Optimization of quantum interferometric metrological sensors in the presence of photon loss , 2009, 0908.3008.

[15]  R. Dicke The measurement of thermal radiation at microwave frequencies. , 1946, The Review of scientific instruments.

[16]  H. Paul,et al.  Measuring the quantum state of light , 1997 .

[17]  Christopher C. Gerry,et al.  Heisenberg-limit interferometry with four-wave mixers operating in a nonlinear regime , 2000 .

[18]  Parity Detection in Quantum Optical Metrology Without Number Resolving Detectors , 2010, 1007.4176.

[19]  Bahaa E. A. Saleh,et al.  Polarization-sensitive quantum optical coherence tomography: Experiment , 2010, 1011.4338.

[20]  Sumanth Kaushik,et al.  Loss-induced limits to phase measurement precision with maximally entangled states , 2007 .

[21]  C. Gerry,et al.  Nonlinear interferometer as a resource for maximally entangled photonic states: Application to interferometry , 2002 .

[22]  Jonathan P Dowling,et al.  Local and global distinguishability in quantum interferometry. , 2007, Physical review letters.

[23]  J. Dowling Quantum optical metrology – the lowdown on high-N00N states , 2008, 0904.0163.

[24]  Vadim N. Smelyanskiy,et al.  Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state , 2010, 1006.1645.

[25]  P. Kok,et al.  Quantum lithography, entanglement and Heisenberg-limited parameter estimation , 2004, quant-ph/0402083.

[26]  A. Belmonte Statistical model for fading return signals in coherent lidars. , 2010, Applied optics.

[27]  Aravind Chiruvelli,et al.  Quantum metrology with two-mode squeezed vacuum: parity detection beats the Heisenberg limit. , 2009, Physical review letters.

[28]  A. Lvovsky,et al.  Continuous-variable optical quantum-state tomography , 2009 .

[29]  Franson,et al.  Nonlocal cancellation of dispersion. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[30]  K. Banaszek,et al.  Quantum phase estimation with lossy interferometers , 2009, 0904.0456.

[31]  Andrew G. Glen,et al.  APPL , 2001 .

[32]  Aephraim M. Steinberg,et al.  Dispersion cancellation in a measurement of the single-photon propagation velocity in glass. , 1992, Physical review letters.

[33]  C. Caves Quantum Mechanical Noise in an Interferometer , 1981 .

[34]  Christopher C. Gerry,et al.  Optical interferometry at the Heisenberg limit with twin Fock states and parity measurements , 2003 .

[35]  Deterministic superresolution with coherent states at the shot noise limit. , 2012, Physical review letters.

[36]  Colin P. Williams,et al.  Quantum-interferometric optical lithography: Towards arbitrary two-dimensional patterns , 2001 .

[37]  Edward J. Wollack,et al.  Cosmic Microwave Background Polarization Detector with High Efficiency, Broad Bandwidth, and Highly Symmetric Coupling to Transition Edge Sensor Bolometers , 2008 .

[38]  K. Banaszek,et al.  Direct measurement of the Wigner function by photon counting , 1999 .

[39]  Kevin Cahill,et al.  DENSITY OPERATORS AND QUASIPROBABILITY DISTRIBUTIONS. , 1969 .

[40]  M. Teich,et al.  Quantum-optical coherence tomography with dispersion cancellation , 2001, quant-ph/0111140.

[41]  Sean D. Huver,et al.  Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing , 2008, 0805.0296.

[42]  K J Resch,et al.  Time-reversal and super-resolving phase measurements. , 2007, Physical review letters.

[43]  Wineland,et al.  Optimal frequency measurements with maximally correlated states. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[44]  Jonas Zmuidzinas,et al.  Superconducting detectors and mixers for millimeter and submillimeter astrophysics , 2004, Proceedings of the IEEE.

[45]  Experimental realization of phase-conjugate optical coherence tomography. , 2010, Optics letters.