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The ultimate precision of phase estimation is limited by the Heisenberg scaling $\Delta\phi_0 = K/N$, where $K\sim1$ is a numerical prefactor and $N$ is the mean number of photons interacting with the phase shifting object(s). However,…

Quantum Physics · Physics 2026-03-31 D. I. Salykina , V. S. Liamin , V. L. Gorshenin , B. N. Nougmanov , F. Ya. Khalili

Quantum target detection is an emerging application that utilizes entanglement to enhance the sensing of the presence of an object. Although several experimental demonstrations for certain situations have been reported recently, the…

Quantum Physics · Physics 2021-07-27 Feixiang Xu , Xiao-Ming Zhang , Liang Xu , Tao Jiang , Man-Hong Yung , Lijian Zhang

We perform high-resolution real-time read-out of the motion of a single trapped and laser-cooled Ba ion. By using an interferometric setup we demonstrate shot-noise limited measurement of thermal oscillations with resolution of 4 times the…

Quantum Physics · Physics 2013-04-17 P. Bushev , G. Hetet , L. Slodicka , D. Rotter , M. A. Wilson , F. Schmidt-Kaler , J. Eschner , R. Blatt

Reducing the noise below the shot-noise limit in sensing devices is one of the key promises of quantum technologies. Here, we study quantum plasmonic sensing based on an attenuated total reflection configuration with single photons as…

Resolving sources beyond the diffraction limit is important in imaging, communications, and metrology. Current image-based methods of super-resolution require phase information (either of the source points or an added filter) and perfect…

Optics · Physics 2025-12-16 S. A. Wadood , Shaurya Aarav , Kevin Liang , Jason W Fleischer

Measuring the spectral properties of an optical frequency comb is among the most fundamental tasks of precision metrology. In contrast to general single-parameter measurement schemes, we demonstrate here single shot multiparameter…

Quantum Physics · Physics 2020-03-16 Y. Cai , J. Roslund , V. Thiel , C. Fabre , N. Treps

We propose an innovative strategy to discriminate between two coherent states affected by either uniform or gaussian phase noise. The strategy is based on a homodyne-like detection scheme with photon-number-resolving detectors in the regime…

Quantum Physics · Physics 2018-03-01 Matteo Bina , Alessia Allevi , Maria Bondani , Stefano Olivares

Quantum metrology employs quantum effects to attain a measurement precision surpassing the limit achievable in classical physics. However, it was previously found that the precision returns the shot-noise limit (SNL) from the ideal Zeno…

Quantum Physics · Physics 2019-07-26 Kai Bai , Zhen Peng , Hong-Gang Luo , Jun-Hong An

Many works have stated that nonlinear interactions can improve phase sensitivity beyond the Heisenberg limit scaling of $1/N$ with $N$ being the mean photon number. This raises some open questions---among them the conclusive sensitivity…

Quantum Physics · Physics 2019-06-27 Jian-Dong Zhang , Zi-Jing Zhang , Jun-Yan Hu , Long-Zhu Cen , Yi-Fei Sun , Chen-Fei Jin , Yuan Zhao

We propose and demonstrate experimentally a projection scheme to measure the quantum phase with a precision beating the standard quantum limit. The initial input state is a twin Fock state $|N,N>$ proposed by Holland and Burnett [Phys. Rev.…

Quantum Physics · Physics 2008-03-27 F. W. Sun , B. H. Liu , Y. X. Gong , Y. F. Huang , Z. Y. Ou , G. C. Guo

We experimentally demonstrate a general criterion to identify entangled states useful for the estimation of an unknown phase shift with a sensitivity higher than the shot-noise limit. We show how to exploit this entanglement on the examples…

We experimentally demonstrate optical detection at 12.5~bits per incident photon, 9.4~dB higher than the theoretical limit of conventional coherent detection. A single laser transmits both data and optical clock, undergoes 77~dB of…

Superconducting nanowire single-photon detectors (SNSPDs) have been widely used to study the discrete nature of quantum states of light in the form of photon-counting experiments. We show that SNSPDs can also be used to study continuous…

Quantum Physics · Physics 2024-11-12 Maximilian Protte , Timon Schapeler , Jan Sperling , Tim J. Bartley

The standard quantum limit (SQL), also known as the shot-noise limit, defines how quantum fluctuations of light constrain measurement precision. In a benchmark experiment using the Mach-Zehnder interferometer (MZI), where a coherent state…

We propose and demonstrate a photon-efficient optical classifier to overcome the Rayleigh limit in spatial resolution. It utilizes mode-selective sum frequency generation and single-pixel photon detection to resolve closely spaced…

Quantum Physics · Physics 2020-10-21 He Zhang , Santosh Kumar , Yu-Ping Huang

We show that nature imposes no fundamental upper limit to the number of information bits per expended photon that can, in principle, be read reliably when classical data is encoded in a medium that can only passively modulate the amplitude…

Quantum Physics · Physics 2013-06-26 Saikat Guha , Jeffrey H. Shapiro

We analyze the optimal state, as given by Berry and Wiseman [Phys. Rev. Lett {\bf 85}, 5098, (2000)], under the canonical phase measurement in the presence of photon loss. The model of photon loss is a generic fictitious beam splitter, and…

Quantum Physics · Physics 2009-01-07 Aravind Chiruvelli , Hwang Lee

Advancements in physics are often motivated/accompanied by advancements in our precision measurements abilities. The current generation of atomic and optical interferometers is limited by shot noise, a fundamental limit when estimating a…

Quantum Physics · Physics 2014-11-20 Luca Pezze' , Augusto Smerzi

Since their first demonstration in 2001, superconducting-nanowire single-photon detectors have witnessed two decades of great developments. SNSPDs are the detector of choice in most modern quantum optics experiments and are slowly finding…

By using a systematic optimization approach we determine quantum states of light with definite photon number leading to the best possible precision in optical two mode interferometry. Our treatment takes into account the experimentally…

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