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We propose a technique capable of imaging a distinct physical object with sub-Rayleigh resolution in an ordinary far-field imaging setup using single-photon sources and linear optical tools only. We exemplify our method for the case of a…

Quantum Physics · Physics 2009-11-24 C. Thiel , T. Bastin , J. von Zanthier , G. S. Agarwal

A distributed binary hypothesis testing problem is studied with one observer and two decision centers. Achievable type-II error exponents are derived for testing against conditional independence when the observer communicates with the two…

Information Theory · Computer Science 2020-01-24 Sadaf Salehkalaibar , Michele Wigger , Roy Timo

Locally analytically, any isolated double point occurs as a double covering of a smooth surface. It can be desingularized via the canonical resolution, as it is well-known. In this paper we explicitly compute the fundamental cycle of both…

Algebraic Geometry · Mathematics 2007-05-23 Alberto Calabri , Rita Ferraro

We propose and examine the use of biphoton pairs, such as those created in parametric down conversion or four-wave mixing, to enhance the precision and the resolution of measuring optical displacements by position-sensitive detection. We…

Quantum Physics · Physics 2016-05-04 Kevin Lyons , Shengshi Pang , Paul G. Kwiat , Andrew N. Jordan

We proposed a method to achieve superresolved optical imaging without beating the diffraction limit of light. This is achieved by magnifying the ideal optical image of the object through higher-order spatial frequency generation while…

Optics · Physics 2016-08-08 Zhixiang Li , Jianji Liu , Guoquan Zhang

We present a topological multiple testing scheme for detecting peaks on the sphere under isotropic Gaussian noise, where tests are performed at local maxima of the observed field filtered by the spherical needlet transform. Our setting is…

Statistics Theory · Mathematics 2021-12-01 Dan Cheng , Valentina Cammarota , Yabebal Fantaye , Domenico Marinucci , Armin Schwartzman

We present a new technique for overcoming confusion noise in deep far-infrared \Herschel space telescope images making use of prior information from shorter $\lambda<2$\micron wavelengths. For the deepest images obtained by \Herschels, the…

Astrophysics of Galaxies · Physics 2015-06-17 Mohammadtaher Safarzadeh , Henry C. Ferguson , Yu Lu , Hanae Inami , Rachel S. Somerville

The development of mode-division multiplexing techniques is an important step to increase the information processing capacity. In this context, we design an efficient and robust mode-division (de)multiplexing integrated device based on the…

Optics · Physics 2018-06-04 G. Queraltó , V. Ahufinger , J. Mompart

We consider the problem of super-resolving the line spectrum of a multisinusoidal signal from a finite number of samples, some of which may be completely corrupted. Measurements of this form can be modeled as an additive mixture of a…

Optimization and Control · Mathematics 2017-03-23 Carlos Fernandez-Granda , Gongguo Tang , Xiaodong Wang , Le Zheng

In this article, we consider a non-linear hyperbolic-parabolic coupled system based on telegraph diffusion framework applied to image despeckling. A separate equation is used to calculate the edge variable, which improves the quality of the…

Analysis of PDEs · Mathematics 2019-08-14 Sudeb Majee , Rajendra K. Ray , Ananta K. Majee

Fluorescence excitation by absorption of entangled photon pairs offers benefits compared to classical imaging techniques, such as the attainment of higher signal levels at low excitation power while simultaneously mitigating photo-toxicity.…

Quantum Physics · Physics 2023-11-02 Tobias Bernd Gäbler , Patrick Hendra , Nitish Jain , Markus Gräfe

We demonstrate a picosecond source of correlated photon pairs using a micro-structured fibre with zero dispersion around 715 nm wavelength. The fibre is pumped in the normal dispersion regime at ~708 nm and phase matching is satisfied for…

Quantum Physics · Physics 2009-11-11 J. Fulconis , O. Alibart , W. J. Wadsworth , P. St. J. Russell , J. G. Rarity

In this paper, we use a birefringent few-mode fiber to demonstrate an intermodal-vectorial four-wave mixing process that generates two pairs of spectrally overlapping signal-idler bands. Using phase-matching conditions, we show that the…

Optics · Physics 2025-06-26 Andrzej Gawlik , Marta Bernaś , Kinga Żołnacz , Karol Tarnowski

Polarized light microscopy using path-entangled $N$-photon states (i.e., the N00N states) has been demonstrated to surpass the shot-noise limit at very low light illumination. However, the microscopy images suffer from divergence of phase…

Quantum Physics · Physics 2017-01-27 G. R. Jin , W. Yang , C. P. Sun

A double-heralding technique is presented for producing heralded entangled photon pairs from spontaneous parametric down-conversion (SPDC). Compared to the swap-heralded schemes studied in previous cascaded SPDC and zero-added-loss…

Quantum Physics · Physics 2026-03-23 Yousef K. Chahine , J. Gabriel Richardson , Evan J. Katz , Adam J. Fallon , John D. Lekki

Multiparameter estimation theory offers a general framework to explore imaging techniques beyond the Rayleigh limit. While optimal measurements of single parameters characterizing a composite light source are now well understood,…

We demonstrate an approach to obtaining near quantum-limited far-field imaging resolution of incoherent sources with arbitrary distributions. Our method assumes no prior knowledge of the source distribution, but rather uses an adaptive…

Quantum Physics · Physics 2022-02-28 Erik F. Matlin , Lucas J. Zipp

The use of individual multimode optical fibers in endoscopy applications has the potential to provide highly miniaturized and noninvasive probes for microscopy and optical micromanipulation. A few different strategies have been proposed…

We explore the possibility of detecting entangled photon pairs from cosmic microwave background or other cosmological sources coming from two patches of the sky. The measurements use two detectors with different photon polarizer directions.…

Quantum Physics · Physics 2019-03-05 Jiunn-Wei Chen , Shou-Huang Dai , Debaprasad Maity , Sichun Sun , Yun-Long Zhang

This work is concerned with optical imaging in strongly diffusive environments. We consider a typical setting in optical coherence tomography where a sample is probed by a collection of wavefields produced by a laser and propagating through…

Optics · Physics 2024-12-10 Randy Bartels , Olivier Pinaud , Maxine Varughese