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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

Precision measurement has been an important research area in sensing and metrology. In classical physics, the Fisher information determines the maximum extractable information from statistically unknown signals, based on a joint probability…

Quantum Physics · Physics 2024-09-04 Byoung S. Ham

We study the best attainable measurement precision when a double-well trap with bosons inside acts as an interferometer to measure the energy difference of the atoms on the two sides of the trap. We introduce time independent perturbation…

Quantum Physics · Physics 2012-06-12 Juha Javanainen , Han Chen

We analyse the phase space representation of the optimal measurement of a phase shift in an interferometer with equal photon loss in both its arms. In the local phase estimation scenario with a fixed number of photons, we identify features…

Quantum Physics · Physics 2017-07-31 Andrei B. Klimov , Marcin Zwierz , Sascha Wallentowitz , Marcin Jarzyna , Konrad Banaszek

Interferometers operating at or close to quantum limits of precision have found wide application in tabletop searches for physics beyond the standard model, the study of fundamental forces and symmetries of nature and foundational tests of…

Quantum Physics · Physics 2016-01-12 H. F. H. Cheung , Y. S. Patil , L. Chang , S. Chakram , M. Vengalattore

We summarise important recent advances in quantum metrology, in connection to experiments in cold gases, trapped cold atoms and photons. First we review simple metrological setups, such as quantum metrology with spin squeezed states, with…

Quantum Physics · Physics 2015-01-27 Geza Toth , Iagoba Apellaniz

We study the feasibility of sub-shot-noise interferometry with imperfect detectors, starting from twin-Fock states and two mode squeezed vacuum states. We derive analytical expressions for the corresponding phase uncertainty. We find that…

The optical elements comprised of sub-diffractive light scatterers, or metasurfaces, hold a promise to reduce the footprint and unfold new functionalities of optical devices. A particular interest is focused on metasurfaces for manipulation…

Interferometric photon-correlation measurements, which correspond to the second-order intensity cross-correlations between the two output ports of an unbalanced Michelson interferometer, are sensitive to both amplitude and phase…

Optics · Physics 2015-06-15 A. Lebreton , I. Abram , R. Braive , I. Sagnes , I. Robert-Philip , A. Beveratos

Estimation of the phase delay between interferometer arms is the core of transmission phase microscopy. Such phase estimation may exhibit an error below the standard quantum (shot-noise) limit, if the input is an entangled two-mode state,…

Quantum Physics · Physics 2024-07-18 Nilakantha Meher , Eilon Poem , Tomáš Opatrný , Ofer Firstenberg , Gershon Kurizki

In quantum parameter estimation, the quantum Cram\'er-Rao bound (QCRB) sets a fundamental limit on the precision achievable with unbiased estimators. It relates the uncertainty in estimating a parameter to the inverse of the quantum Fisher…

In this paper, we investigate the phase sensitivities in two-path optical interferometry with asymmetric beam splitters. Here, we present the optimal conditions for the transmission ratio and the phase of the beam splitter to gain the…

Quantum Physics · Physics 2020-01-03 Wei Zhong , Fan Wang , Lan Zhou , Peng Xu , Yu-Bo Sheng

Optimal measurement scheme with an efficient data processing is important in quantum-enhanced interferometry. Here we prove that for a general binary outcome measurement, the simplest data processing based on inverting the average signal…

Quantum Physics · Physics 2014-07-11 X. M. Feng , G. R. Jin , W. Yang

Multiphoton absorption is of vital importance in many spectroscopic, microscopic or lithographic applications. However, given that it is an inherently weak process, the detection of multiphoton absorption signals typically requires large…

Quantum Physics · Physics 2023-05-31 Shahram Panahiyan , Carlos Sánchez Muñoz , Maria V. Chekhova , Frank Schlawin

The use of an interferometer to perform an ultra-precise parameter estimation under noisy conditions is a challenging task. Here we discuss nearly optimal measurement schemes for a well known,sensitive input state, squeezed vacuum and…

State measurement of a quantum harmonic oscillator is essential in quantum optics and quantum information processing. In a system of trapped ions, we experimentally demonstrate the projective measurement of the state of the ions' motional…

Quantum Physics · Physics 2017-11-15 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Dzmitry Matsukevich

The Mach--Zehnder interferometer is a powerful device for detecting small phase shifts between two light beams. Simple input states -- such as coherent states or single photons -- can reach the standard quantum limit of phase estimation…

Quantum Physics · Physics 2026-05-08 Ondřej Černotík , Iivari Pietikäinen , Shruti Puri , S. M. Girvin , Radim Filip

Quantum metrology overcomes standard precision limits by exploiting collective quantum superpositions of physical systems used for sensing, with the prominent example of non-classical multiphoton states improving interferometric techniques.…

Many protocols within quantum cryptography, communications, and computing require the ability to generate entangled states as well as spectral qudits. Nonlinear interferometry is a viable way to engineer these complex quantum states of…

Quantum Physics · Physics 2026-05-19 Cody Charles Payne , Elaganuru Bashaiah , Markus Allgaier

We theoretically present the quantum Cram\'{e}r-Rao bounds (QCRB) of an SU(1,1) interferometer for Gaussian states input with and without the internal photonic losses. The phase shifts in the single arm and in the double arms are studied…

Quantum Physics · Physics 2018-06-20 Qian-Kun Gong , Dong Li , Chun-Hua Yuan , Z. Y. Ou , Weiping Zhang
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