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We develop a rigorous framework for constructing Fock representations of quantum fields obeying generalized statistics associated with certain solutions of the spectral quantum Yang-Baxter equation. The main features of these…

High Energy Physics - Theory · Physics 2010-11-01 A. Liguori , M. Mintchev

A commonly held tenet is that lasers well above threshold emit photons in a coherent state, which follow a Poissonian statistics when measured in photon number. This feature is often exploited to build quantum-based random number generators…

Quantum Physics · Physics 2018-09-10 J. F. Dynes , M. Lucamarini , K. A. Patel , A. W. Sharpe , Z. L. Yuan , A. J. Shields

We investigate an optical scheme to conditionally engineer quantum states using a beam splitter, homodyne detection and a squeezed vacuum as an ancillar state. This scheme is efficient in producing non-Gaussian quantum states such as…

Boson Sampling has emerged as a tool to explore the advantages of quantum over classical computers as it does not require a universal control over the quantum system, which favours current photonic experimental platforms.Here, we introduce…

This is a short overview explaining how building a large-scale, silicon-photonic quantum computer has been reduced to the creation of good sources of 3-photon entangled states (and may simplify further). Given such sources, each photon need…

Quantum Physics · Physics 2016-07-29 Terry Rudolph

We show how the photon statistics emitted by a large variety of light-matter systems under weak coherent driving can be understood, to lowest order in the driving, in the framework of an admixture of (or interference between) a squeezed…

Quantum Physics · Physics 2020-05-29 E. Zubizarreta Casalengua , J. C. López Carreño , F. P. Laussy , E. del Valle

Selective truncation of Fock-state expansion of an optical field can be achieved using projection synthesis. The process removes predetermined Fock states from the input field by conditional measurement and teleportation. We present a…

Quantum Physics · Physics 2009-08-03 Adam Miranowicz , Sahin Kaya Ozdemir , Jiri Bajer , Masato Koashi , Nobuyuki Imoto

Advances in photonics require photon-number resolved simulations of quantum optical experiments with Gaussian states. We demonstrate a simple and versatile method to simulate the photon statistics of general multimode Gaussian states. The…

Quantum Physics · Physics 2023-03-06 Erik Fitzke , Florian Niederschuh , Thomas Walther

We analyze the impact of photon loss on the photon-number statistics of Gaussian states. Specifically, we propose and carefully evaluate several methods to mitigate deviations in the photon-number distributions of lossy (displaced) squeezed…

Quantum Physics · Physics 2026-03-24 Hendrik Ellenberg , René Sondenheimer

The statistical properties of photons are fundamental to investigating quantum mechanical phenomena using light. In multi-photon, two-mode systems, correlations may exist between outcomes of measurements made on each mode which exhibit…

Quantum Physics · Physics 2017-02-06 Evan Meyer-Scott , Johannes Tiedau , Georg Harder , Lynden K. Shalm , Tim J. Bartley

A recent article [S. Ashhab and M. Ayyash, New J. Phys. 27, 054104 (2025)] has reported unexpected oscillatory dynamics in generalized squeezed states of order higher than two as their squeezing parameter increases. This behaviour, observed…

Quantum Physics · Physics 2026-02-20 Rubén Gordillo-Hachuel , Ricardo Puebla

Quantum state tomography is an essential component of modern quantum technology. In application to continuous-variable harmonic-oscilator systems, such as the electromagnetic field, existing tomography methods typically reconstruct the…

Quantum Physics · Physics 2023-01-09 Ekaterina Fedotova , Nikolai Kuznetsov , Egor Tiunov , A. E. Ulanov , A. I. Lvovsky

We employ the quantum state of a single photon entangled with the vacuum (|1,0>-|0,1>), generated by a photon incident upon a symmetric beam splitter, to teleport single-mode quantum states of light by means of the Bennett protocol.…

Quantum Physics · Physics 2009-11-07 S. A. Babichev , J. Ries , A. I. Lvovsky

A recently introduced numerical approach to quantum systems is analyzed. The basis of a Fock space is restricted and represented in an algebraic program. Convergence with increasing size of basis is proved and the difference between…

High Energy Physics - Theory · Physics 2007-05-23 Maciej Trzetrzelewski

A discrete completeness relation and a continuous one with a positive measure are found for the photon-added squeezed vacuum states. Extension to the photon-added squeezed one-photon states is considered. Photon-added coherent states on a…

Quantum Physics · Physics 2009-11-07 C. Quesne

Even though heralded single-photon sources have been generated routinely through the spontaneous parametric down conversion, vacuum and multiple photon states are unavoidably involved. With machine-learning, we report the experimental…

A possible way of generating nonclassical states of light, especially non-Gaussian states, is via the truncation of a given state in the Fock basis. In recent work, we presented an alternative scheme for such quantum scissors [Phys. Rev. A…

Quantum Physics · Physics 2022-08-02 E. P. Mattos , A. Vidiella-Barranco

Boson sampling is a key candidate for demonstrating quantum advantage, and has already yielded significant advances in quantum simulation, machine learning, and graph theory. In this work, a unification and extension of distinct forms of…

Quantum Physics · Physics 2025-12-29 Luca Bianchi , Carlo Marconi , Laura Ares , Davide Bacco , Jan Sperling

The quantum statistics of particles is determined by both the spins and the indistinguishability of quantum states. Here we studied the quantum statistics of partially distinguishable photons by defining the multi-photon…

Quantum Physics · Physics 2017-08-16 Fang-Wen Sun , Ao Shen , Yang Dong , Xiang-Dong Chen , Guang-Can Guo

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