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Conventional coherent states (CSs) are defined in various ways. For example, CS is defined as an infinite Poissonian expansion in Fock states, as displaced vacuum state, or as an eigenket of annihilation operator. In the infinite…

Quantum Physics · Physics 2022-06-07 Nasir Alam , Amit Verma , Anirban Pathak

We revisit the notion of nonclassical distance of states of bosonic quantum systems introduced in [M. Hillery, Phys. Rev. A 35, 725 (1987)] in a general multimode setting. After reviewing its definition, we establish some of its general…

Quantum Physics · Physics 2017-06-23 Ranjith Nair

Boson sampling is a simple model for non-universal linear optics quantum computing using far fewer physical resources than universal schemes. An input state comprising vacuum and single photon states is fed through a Haar-random linear…

In this paper, we consider inference and uncertainty quantification for low Tucker rank tensors with additive noise in the high-dimensional regime. Focusing on the output of the higher-order orthogonal iteration (HOOI) algorithm, a commonly…

Statistics Theory · Mathematics 2024-10-10 Joshua Agterberg , Anru Zhang

In a recent contribution, we introduced and applied a detector-independent method to uncover nonclassicality. Here, we extend those techniques and give more details on the performed analysis. We derive a general theory of the…

We suggest a novel scheme for generating multimode squeezed states for the boson sampling implementation. The idea is to replace a commonly used linear interferometer by a multimode resonator containing a passive optical element consisting…

Quantum Physics · Physics 2024-09-16 Sergey V. Tarasov , Vladimir V. Kocharovsky

The transient quantum statistical properties of the atoms and molecules in an atom-molecule BEC system are investigated by obtaining a third-order perturbative solution of the Heisenberg's equations of motion corresponding to the…

Quantum Physics · Physics 2014-07-08 Sandip Kumar Giri , Kishore Thapliyal , Biswajit Sen , Anirban Pathak

Higher-order squeezing captures non-Gaussian features of quantum light by probing moments of the field beyond the variance, and is associated with operators involving nonlinear combinations of creation and annihilation operators. Here we…

Mathematical Physics · Physics 2025-08-14 Felix Fischer , Daniel Burgarth , Davide Lonigro

Criteria defining higher-order sub-Poissonian-like fields are given using five different quantities: moments of (I) integrated intensity, (II) photon number, (III) integrated-intensity fluctuation, (IV) photon-number fluctuation, and (V)…

Quantum Physics · Physics 2017-10-25 Jan Perina , Vaclav Michalek , Ondrej Haderka

In this paper, we investigate a rather general system of two operator equations that has the structure of a viscous or nonviscous Cahn--Hilliard system in which nonlinearities of double-well type occur. Standard cases like regular or…

Analysis of PDEs · Mathematics 2019-08-05 Pierluigi Colli , Gianni Gilardi , Jürgen Sprekels

The uncanny ability of multiple particles to interfere with one another is one of the core principles of quantum mechanics, and serves as foundation for quantum information processing. In particular, the interplay of constructive and…

Quantum Physics · Physics 2022-03-23 Max Ehrhardt , Matthias Heinrich , Alexander Szameit

The algebraic quantification of nonclassicality, which naturally arises from the quantum superposition principle, is related to properties of regular nonclassicality quasiprobabilities. The latter are obtained by non-Gaussian filtering of…

Quantum Physics · Physics 2018-05-21 B. Kühn , W. Vogel

Generation of highly non-classical quantum states of light is essential for optical quantum information processing and quantum metrology. Given the lack of sufficiently strong nonlinear interactions between optical fields, the commonly…

Quantum Physics · Physics 2026-04-29 Jaromír Fiurášek

The realization of higher-order exceptional points (HOEPs) can lead to orders of magnitude enhancement in light-matter interactions beyond the current fundamental limits. Unfortunately, implementing HOEPs in the existing schemes is a rather…

Optics · Physics 2020-11-18 Q. Zhong , J. Kou , S. K. Ozdemir , R. El-Ganainy

The concept of topological phases has been generalized to higher-order topological insulators and superconductors with novel boundary states on corners or hinges. Meanwhile, recent experimental advances in controlling dissipation (such as…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 Xi-Wang Luo , Chuanwei Zhang

We study the signalling structure of higher order quantum maps from an order-theoretic perspective, building on the combinatorial characterization of higher order types by Bisio and Perinotti. We have shown in a previous work…

Quantum Physics · Physics 2026-04-13 Anna Jenčová

In our previous work [1] we described quantized computation using Horn clauses and based the semantics, dubbed as entanglement semantics as a generalization of denotational and distribution semantics, and founded it on quantum probability…

Quantum Physics · Physics 2018-08-01 Radhakrishnan Balu

We report on nonlinear squeezing effects of polarization states of light by harnessing the intrinsic correlations from a polarization-entangled light source and click-counting measurements. Nonlinear Stokes operators are obtained from…

Quantum Physics · Physics 2022-12-26 Nidhin Prasannan , Jan Sperling , Benjamin Brecht , Christine Silberhorn

A monochromatic double-mode coherent light endowed with orthogonally polarized photons propagating collinearly is studied in Degenerate Parametric Amplification. Generation of Hidden Optical- Polarized States is shown by non-zero values of…

Quantum Physics · Physics 2015-05-19 Gyaneshwar K. Gupta , Akhilesh Kumar , Ravi S. Singh

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