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Continuous-variable systems realized in quantum optics play a major role in quantum information processing, and it is also one of the promising candidates for a scalable quantum computer. We introduce a resource theory for…

量子物理 · 物理学 2018-07-04 Ryuji Takagi , Quntao Zhuang

We propose a measure of non-Gaussianity for quantum states of a system of $n$ oscillator modes. Our measure is based on the quasi-probability $Q(\alpha), \alpha\in{\cal C}^n$. Since any measure of non-Gaussianity is necessarily an attempt…

量子物理 · 物理学 2008-12-16 J. Solomon Ivan , M. Sanjay Kumar , R. Simon

The study of Gaussian states has arisen to a privileged position in continuous variable quantum information in recent years. This is due to vehemently pursued experimental realisations and a magnificently elegant mathematical framework. In…

量子物理 · 物理学 2014-03-17 Gerardo Adesso , Sammy Ragy , Antony R. Lee

We investigate non-Gaussian states of light as ancillary inputs for generating nonlinear transformations required for quantum computing with continuous variables. We consider a recent proposal for preparing a cubic phase state, find the…

量子物理 · 物理学 2009-11-13 Shohini Ghose , Barry C. Sanders

We address the issue of quantifying the non-Gaussian character of a bosonic quantum state and introduce a non-Gaussianity measure based on the Hilbert-Schmidt distance between the state under examination and a reference Gaussian state. We…

量子物理 · 物理学 2009-11-13 Marco G. Genoni , Matteo G. A. Paris , Konrad Banaszek

Quantum states with nonlinear squeezing are a necessary resource for deterministic implementation of high-order quadrature phase gates that are, in turn, sufficient for advanced quantum information processing. We demonstrate that this class…

量子物理 · 物理学 2021-07-15 Šimon Bräuer , Petr Marek

We introduce a feasible protocol for generating non-Gaussian (nG) states via postselected von Neumann measurement for continuous-variable quantum information processing. The method uses a two-level system coupled to a Gaussian pointer state…

量子物理 · 物理学 2025-10-01 Xiao-Xi Yao , Yusuf Turek

Accurate characterization of the noise influencing a quantum system of interest has far-reaching implications across quantum science, ranging from microscopic modeling of decoherence dynamics to noise-optimized quantum control. While the…

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

Continuous-variable quantum systems are foundational to quantum computation, communication, and sensing. While traditional representations using wave functions or density matrices are often impractical, the tomographic picture of quantum…

量子物理 · 物理学 2026-03-17 Liubov A. Markovich , Xiaoyu Liu , Jordi Tura

Non-Gaussian states and operations are crucial for various continuous-variable quantum information processing tasks. To quantitatively understand non-Gaussianity beyond states, we establish a resource theory for non-Gaussian operations. In…

量子物理 · 物理学 2018-05-23 Quntao Zhuang , Peter W. Shor , Jeffrey H. Shapiro

Non-Gaussian entangled states play a crucial role in harnessing quantum advantage in continuous-variable quantum information. However, how to fully characterize N-partite (N > 3) non-Gaussian entanglement without quantum state tomography…

量子物理 · 物理学 2023-12-05 Da Zhang , David Barral , Yanpeng Zhang , Kamel Bencheikh

Entanglement is a key resource for many quantum applications. Understanding fundamental properties of entangled states is an important step towards their practical exploitation. We characterize entanglement in the context of Gaussian and…

Quantum non-Gaussian gate is a missing piece to the realization of continuous-variable universal quantum operations in the optical system. In a measurement-based implementation of the cubic phase gate, a lowest-order non-Gaussian gate,…

We introduce a novel measure to quantify the non-Gaussian character of a quantum state: the quantum relative entropy between the state under examination and a reference Gaussian state. We analyze in details the properties of our measure and…

量子物理 · 物理学 2009-01-07 Marco G. Genoni , Matteo G. A. Paris , Konrad Banaszek

In continuous-variable systems, non-Gaussian resources are essential for achieving universal quantum computation that lies beyond classical simulation. Among the candidate states, the cubic phase state stands out as the simplest form of…

量子物理 · 物理学 2025-09-22 Boxuan Jing , Feng-Xiao Sun , Qiongyi He

We introduce the quantum Gaussian process state, motivated via a statistical inference for the wave function supported by a data set of unentangled product states. We show that this condenses down to a compact and expressive parametric…

强关联电子 · 物理学 2022-08-01 Yannic Rath , George H. Booth

State conversion is a fundamental task in quantum information processing. Quantum resource theories allow for analyzing and bounding conversions that use restricted sets of operations. In the context of continuous-variable systems, state…

量子物理 · 物理学 2026-05-06 Oliver Hahn , Maxime Garnier , Giulia Ferrini , Alessandro Ferraro , Ulysse Chabaud

Unitary non-Gaussian nonlinearity is one of the key components required for quantum computation and other developing applications of quantum information processing. Sufficient operation of this kind is still not available, but it can be…

When transforming pairs of independent quantum operations according to the fundamental rules of quantum theory, an intriguing phenomenon emerges: some such higher-order operations may act on the input operations in an indefinite causal…

量子物理 · 物理学 2022-02-08 Jessica Bavaresco , Mateus Araújo , Časlav Brukner , Marco Túlio Quintino