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We consider generic $m\times n$-mode bipartitions of continuous variable systems, and study the associated bisymmetric multimode Gaussian states. They are defined as $(m+n)$-mode Gaussian states invariant under local mode permutations on…

量子物理 · 物理学 2007-05-23 Alessio Serafini , Gerardo Adesso , Fabrizio Illuminati

The so-called stellar formalism allows to represent the non-Gaussian properties of single-mode quantum states by the distribution of the zeros of their Husimi Q-function in phase-space. We use this representation in order to derive an…

量子物理 · 物理学 2020-04-20 Ulysse Chabaud , Damian Markham , Frédéric Grosshans

Estimating multiple parameters simultaneously is of great importance to measurement science and application. For a single parameter, atomic Ramsey interferometry (or equivalently optical Mach-Zehnder interferometry) is capable of providing…

量子物理 · 物理学 2020-04-09 Xinwei Li , Jia-Hao Cao , Qi Liu , Meng Khoon Tey , Li You

We present a detailed analytic framework for studying multimode non-Gaussian states that are conditionally generated when few modes of a multimode Gaussian state are subject to photon-number-resolving detectors. From the output state Wigner…

量子物理 · 物理学 2019-04-22 Daiqin Su , Casey R. Myers , Krishna Kumar Sabapathy

We develop closed-form expressions for the moments and cumulants of Gaussian states when measured in the photon-number basis. We express the photon-number moments of a Gaussian state in terms of the loop Hafnian, a function that when…

量子物理 · 物理学 2024-11-13 Yanic Cardin , Nicolás Quesada

Continuous-variable Gaussian cluster states are a potential resource for universal quantum computation. They can be efficiently and unconditionally built from sources of squeezed light using beam splitters. Here we report on the generation…

量子物理 · 物理学 2008-07-04 Mitsuyoshi Yukawa , Ryuji Ukai , Peter van Loock , Akira Furusawa

Entangled two-mode Gaussian states are a key resource for quantum information technologies such as teleportation, quantum cryptography and quantum computation, so quantification of Gaussian entanglement is an important problem. Entanglement…

量子物理 · 物理学 2018-01-03 Spyros Tserkis , Timothy C. Ralph

Extending the phase-space description of the Weyl-Wigner quantum mechanics to a subset of non-linear Hamiltonians in position and momentum, gaussian functions are identified as the quantum ground state. Once a Hamiltonian, $H^{W}(q,\,p)$,…

量子物理 · 物理学 2025-04-30 Alex E. Bernardini , Orfeu Bertolami

We consider a statistical model of a n-mode quantum Gaussian state which is shift invariant and also gauge invariant. Such models can be considered analogs of classical Gaussian stationary time series, parametrized by their spectral…

统计理论 · 数学 2026-04-08 Michael Nussbaum , Arleta Szkoła

We study a class of optical circuits with vacuum input states consisting of Gaussian sources without coherent displacements such as down-converters and squeezers, together with detectors and passive interferometry (beam-splitters,…

量子物理 · 物理学 2010-04-09 Pieter Kok , Samuel L Braunstein

We present a novel analytical approach for the calculation of the mean density of states in many-body systems made of confined indistinguishable and non-interacting particles. Our method makes explicit the intrinsic geometry inherent in the…

量子物理 · 物理学 2013-12-18 Quirin Hummel , Juan Diego Urbina , Klaus Richter

We consider measurement-based quantum computation that uses scalable continuous-variable cluster states with a one-dimensional topology. The physical resource, known here as the dual-rail quantum wire, can be generated using temporally…

量子物理 · 物理学 2014-12-24 Rafael N. Alexander , Seiji C. Armstrong , Ryuji Ukai , Nicolas C. Menicucci

We consider an instance of black-box quantum metrology in the Gaussian framework, where we aim to estimate the amount of squeezing applied on an input probe, without previous knowledge on the phase of the applied squeezing. By taking the…

The unavoidable interaction of quantum systems with their environment usually results in the loss of desired quantum resources. Suitably chosen system Hamiltonians, however, can, to some extent, counteract such detrimental decay, giving…

量子物理 · 物理学 2018-10-03 Łukasz Rudnicki , Clemens Gneiting

Gaussian states -- or, more generally, Gaussian operators -- play an important role in Quantum Optics and Quantum Information Science, both in discussions about conceptual issues and in practical applications. We describe, in a tutorial…

量子物理 · 物理学 2007-05-23 Berthold-Georg Englert , Krzysztof Wódkiewicz

Data-driven control of nonlinear systems with rigorous guarantees is a challenging problem as it usually calls for nonconvex optimization and requires often knowledge of the true basis functions of the system dynamics. To tackle these…

最优化与控制 · 数学 2023-03-27 Tim Martin , Thomas B. Schön , Frank Allgöwer

We address the joint estimation of changes in the position and linear momentum of a quantum particle or, equivalently, changes in the complex field of a bosonic mode. Although these changes are generated by non-commuting operators, we show…

The quantum Fisher information for a two-mode, Gaussian product state in an interferometer subject to photon loss is studied. We obtain the quantum Cramer-Rao bound on the achievable precision in phase estimation using such states. The…

量子物理 · 物理学 2016-08-30 Noufal Jaseem , Anil Shaji

Quantum illumination with asymmetric strategy is examined by making use of the three-mode maximally entangled Gaussian state, which involves one signal and two idler beams. It is shown that this scenario gives less-error probability…

量子物理 · 物理学 2023-09-18 Mi-Ra Hwang , DaeKil Park

By introducing the shape invariant Lie algebra spanned by the SUSY ladder operators plus the unity operator, a new basis is presented for the quantum treatment of the one-dimensional Morse potential. In this discrete, complete orthonormal…

量子物理 · 物理学 2016-08-15 Balázs Molnár , Mihály G. Benedict