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A bosonic state is commonly considered nonclassical (or quantum) if its Glauber-Sudarshan $P$ function is not a classical probability density, which implies that only coherent states and their statistical mixtures are classical. We quantify…

Quantum Physics · Physics 2022-06-10 Adam Miranowicz , Karol Bartkiewicz , Anirban Pathak , Jan Perina , Yueh-Nan Chen , Franco Nori

In quantum optics, measurement statistics -- for example, photocounting statistics -- are considered nonclassical if they cannot be reproduced with statistical mixtures of classical radiation fields. We have formulated a necessary and…

Quantum Physics · Physics 2024-09-02 V. S. Kovtoniuk , E. V. Stolyarov , O. V. Kliushnichenko , A. A. Semenov

Quantifying nonclassicality of a bosonic mode is an important but challenge task in quantum optics. Recently, the first nonclassicality measure based on the concept of operational resource theory has been proposed [Phys. Rev. Research 2,…

Quantum Physics · Physics 2020-10-14 Wenchao Ge , M. Suhail Zubairy

Nonclassical properties of photon added and subtracted displaced Fock states have been studied using various witnesses of lower- and higher-order nonclassicality. Compact analytic expressions are obtained for the nonclassicality witnesses.…

Various nonclassical and quantum phase properties of photon added then subtracted displaced Fock state have been examined systematically and rigorously. Higher-order moments of the relevant bosonic operators are computed to test the…

Nonclassical properties of photon added and photon subtracted squeezed coherent states have been compared with specific focus on the higher order nonclassicalities, such as higher order squeezing, higher order sub-Poissonian photon…

Quantum Physics · Physics 2022-06-10 Kishore Thapliyal , Nigam Lahiri Samantray , J. Banerji , Anirban Pathak

Nonclassicality cannot be a single-observable property since the statistics of any quantum observable is compatible with classical physics. We develop a general procedure to reveal nonclassical behavior from the joint measurement of…

Quantum Physics · Physics 2016-05-04 Alfredo Luis

We investigate generation of nonclassical photon states via conditional measurement process in a two mode coupled waveguide. Interaction of the fields takes place in a waveguide beamsplitter due to the overlap between normal modes supported…

Quantum Physics · Physics 2025-04-14 R. Chakrabarti , S. V. Iyengar , B. V. Jenisha

We devise a new class of criteria to certify the nonclassicality of photon- and phonon-number statistics. Our criteria extend and strengthen the broadly used Klyshko's criteria, which require knowledge of only a finite set of Fock-state…

Quantum Physics · Physics 2022-06-22 Luca Innocenti , Lukáš Lachman , Radim Filip

The nonclassicality of a macroscopic single-mode optical superposition state is potentially convertible into entanglement, when the state is mixed with the vacuum on a beam splitter. Considering light beams with polarization degree of…

Quantum Physics · Physics 2024-06-27 Minghui Li , Wei Wang , Zikang Tang , Hou Ian

Practically applicable criteria for the nonclassicality of quantum states are formulated in terms of different types of moments. For this purpose the moments of the creation and annihilation operators, of two quadratures, and of a…

Quantum Physics · Physics 2009-11-11 E. V. Shchukin , W. Vogel

Nonclassicality, defined in the quantum optical sense, serves as a resource for photon-based quantum technologies. Therefore, certifying the nonclassicality of a quantum state is crucial for gauging its potential for quantum advantage.…

We theoretically consider wave mixing under the irradiation of a single qubit by two photon fields. The first signal is a classical monochromatic drive, while the second one is a nonclassical light. Particularly, we address two examples of…

Quantum Physics · Physics 2021-08-06 W. V. Pogosov , A. Yu. Dmitriev , O. V. Astafiev

We investigate the photon statistics of an ensemble of coherently driven non-interacting two-level atoms in the weak driving regime. As it turns out, the system displays unique emission characteristics that are strongly in contrast to the…

Quantum Physics · Physics 2024-11-27 M. Bojer , A. Cidrim , P. P. Abrantes , R. Bachelard , J. von Zanthier

According to Born's rule quantum probabilities are given by the overlap between the system state and measurement states in a quite symmetrical way. This means that both contribute to any observed nonclassical effect that is usually…

Quantum Physics · Physics 2019-05-21 Alfredo Luis , Laura Ares

We introduce a simple measure of "classicality" of pure and mixed quantum states as a maximum value of the Hilbert-Schmidt "scalar products" between the renormalized statistical operators of the state concerned and all displaced thermal…

Quantum Physics · Physics 2010-06-29 V. V. Dodonov , M. B. Reno

We establish a method of directly measuring and estimating non-classicality - operationally defined in terms of the distinguishability of a given state from one with a positive Wigner function. It allows to certify non-classicality, based…

Quantum Physics · Physics 2011-05-03 A. Mari , K. Kieling , B. Melholt Nielsen , E. S. Polzik , J. Eisert

In this paper, a quantitative investigation of the non-classical and quantum non-Gaussian characters of the photon-subtracted displaced Fock state $|{\psi}\rangle=a^kD(\alpha)|{n}\rangle$, where $k$ is number of photons subtracted, $n$ is…

Quantum Physics · Physics 2024-04-29 Deepak , Arpita Chatterjee

We study a novel optical setup which is able to select a specific Fock component from a generic input state. The device allows to synthesize number states and superpositions of few number states, and to measure the photon distribution and…

Quantum Physics · Physics 2007-05-23 G. M. D'Ariano , L. Maccone , M. G. A. Paris , M. F. Sacchi

Quantum non-Gaussian states represent an important class of highly non-classical states whose preparation requires quantum operations or measurements beyond the class of Gaussian operations and statistical mixing. Here we derive criteria…

Quantum Physics · Physics 2021-07-21 Jaromír Fiurášek , Lukáš Lachman , Radim Filip
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