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We discuss the ultimate precision bounds on the multiparameter estimation of single- and two-mode pure Gaussian states. By leveraging on previous approaches that focused on the estimation of a complex displacement only, we derive the Holevo…

量子物理 · 物理学 2024-07-24 Gabriele Bressanini , Marco G. Genoni , M. S. Kim , Matteo G. A. Paris

In quantum information processing, {using a receiver device to differentiate between two nonorthogonal states leads to a quantum error probability. The minimum possible error is} known as the Helstrom bound. In this work we study and…

量子物理 · 物理学 2021-11-24 Evaldo M. F. Curado , Sofiane Faci , Jean-Pierre Gazeau , Diego Noguera

EPR steering is an asymmetric form of correlations which is intermediate between quantum entanglement and Bell nonlocality, and can be exploited for quantum communication with one untrusted party. In particular, steering of continuous…

量子物理 · 物理学 2017-10-23 Yu Xiang , Buqing Xu , Ladislav Mišta , Tommaso Tufarelli , Qiongyi He , Gerardo Adesso

Non Gaussian states and processes are useful resources in quantum information with continuous variables. An experimentally accessible criterion has been proposed to measure the degree of non Gaussianity of quantum states, based on the…

Estimation of a global parameter defined as a weighted linear combination of unknown multiple parameters can be enhanced by using quantum resources. Advantageous quantum strategies may vary depending on the weight distribution, requiring…

量子物理 · 物理学 2022-09-23 Changhun Oh , Liang Jiang , Changhyoup Lee

Leveraging the unique quantum properties of non-Gaussian states is crucial for advancing continuous variable quantum technologies. Recent experimental advancements in generating non-Gaussian states, coupled with theoretical findings of…

量子物理 · 物理学 2026-02-24 Jonas F. G. Santos

Due to practical reasons, experimental and theoretical continuous-variable (CV) quantum information (QI) has been heavily based on Gaussian states. Nevertheless, many CV-QI protocols require the use of non-Gaussian states and operations.…

量子物理 · 物理学 2015-01-13 E. S. Gómez , G. Cañas , E. Acuña , W. A. T. Nogueira , G. Lima

Concerning state estimation, we will compare two cases. In one case we cannot use the quantum correlations between samples. In the other case, we can use them. In addition, under the later case, we will propose a method which simultaneously…

量子物理 · 物理学 2007-05-23 Masahito Hayashi

Quantum technologies, encompassing communication, computation, and metrology, rely on the generation and control of non-Gaussian states of light. These states enable secure quantum communication, fault-tolerant quantum computation, and…

量子物理 · 物理学 2025-12-03 Ozlem Erkilic , Aritra Das , Biveen Shajilal , Ping Koy Lam , Timothy C. Ralph , Syed M. Assad

Precision metrology underpins scientific and technological advancements. Quantum metrology offers a pathway to surpass classical sensing limits by leveraging quantum states and measurement strategies. However, measuring multiple…

Gaussian states are an essential building block for various applications in quantum optics and quantum information science, yet the precise relation between their second- and third-order correlation functions remains not fully explored. We…

量子物理 · 物理学 2025-12-22 Philip Heinzel , René Sondenheimer

Statistical inference for time series such as curve estimation for time-varying models or testing for existence of change-point have garnered significant attention. However, these works are generally restricted to the assumption of…

统计理论 · 数学 2024-08-08 Soham Bonnerjee , Sayar Karmakar , Wei Biao Wu

We numerically study the performance of the displacement based quantum receiver for the discrimination of weak 3- and 4-phase-shift keyed (PSK) coherent state signals. We show that due to the nontrivial asymmetry of the receiver structure,…

量子物理 · 物理学 2015-06-16 M. Fujiwara , S. Izumi , M. Takeoka , M. Sasaki

Conditional displacement with a qubit ancilla is a critical component in continuous-variable error correction protocols. We present the generalized conditional displacement operator, conditioned on a qudit ancilla, and explore potential…

An outstanding challenge for quantum information processing using bosonic systems is Gaussian errors such as excitation loss and added thermal noise errors. Thus, bosonic quantum error correction (QEC) is essential. Most bosonic QEC schemes…

量子物理 · 物理学 2020-08-26 Kyungjoo Noh , S. M. Girvin , Liang Jiang

We investigate quantum teleportation of ensembles of coherent states of light with a Gaussian distributed displacement in phase space. Recently, the following general question has been addressed in [P. Liuzzo-Scorpo et al.,…

量子物理 · 物理学 2017-11-29 Pietro Liuzzo-Scorpo , Gerardo Adesso

In this paper, the problem of state estimation, in the context of both filtering and smoothing, for nonlinear state-space models is considered. Due to the nonlinear nature of the models, the state estimation problem is generally intractable…

机器学习 · 统计学 2021-11-24 Jarrad Courts , Adrian Wills , Thomas B. Schön

We provide a comprehensive overview and tooling for GP modeling with non-Gaussian likelihoods using state space methods. The state space formulation allows for solving one-dimensional GP models in $\mathcal{O}(n)$ time and memory…

机器学习 · 统计学 2018-07-06 Hannes Nickisch , Arno Solin , Alexander Grigorievskiy

We reveal that quadrature squeezing can result in significantly better quantum-estimation performance with quantum heterodyne detection (of H. P. Yuen and J. H. Shapiro) as compared to quantum homodyne detection for Gaussian states, which…

量子物理 · 物理学 2015-10-19 Jaroslav Rehacek , Yong Siah Teo , Zdenek Hradil , Sascha Wallentowitz

Gaussian loss channels are of particular importance since they model realistic optical communication channels. Except for special cases, quantum capacity of Gaussian loss channels is not yet known completely. In this paper, we provide…

量子物理 · 物理学 2019-03-19 Kyungjoo Noh , Victor V. Albert , Liang Jiang