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Quantum error correction is an essential ingredient in the development of quantum technologies. Its subject is to investigate ways to embed quantum Hilbert spaces into a physical system such that this subspace is robust against small…

量子物理 · 物理学 2024-12-04 Jonathan Conrad

We study nonclassical correlations beyond entanglement in a family of two-mode non-Gaussian states which represent the continuous-variable counterpart of two-qubit Werner states. We evaluate quantum discord and other quantumness measures…

量子物理 · 物理学 2015-06-03 Richard Tatham , Ladislav Mišta , Gerardo Adesso , Natalia Korolkova

We provide a graphical method to describe and analyze non-Gaussian quantum states using a hypergraph framework. These states are pivotal resources for quantum computing, communication, and metrology, but their characterization is hindered…

量子物理 · 物理学 2025-07-28 Lina Vandré , Boxuan Jing , Yu Xiang , Otfried Gühne , Qiongyi He

In this paper, we estimate the errors of Gaussian transformations implemented using one-way quantum computations on cluster states of various configurations. From all possible cluster state configurations, we choose those that give the…

量子物理 · 物理学 2020-06-24 S. B. Korolev , T. Yu. Golubeva , Yu. M. Golubev

Even though Gaussian quantum states of multimode light are promising quantum resources due to their scalability, non-Gaussianity is indispensable for quantum technologies, in particular to reach quantum computational advantage. However,…

Practical utilization of Gottesman-Kitaev-Preskill (GKP) qubits requires not only the preparation of logical basis states, but also the ability to prepare and evaluate arbitrary logical qubit superpositions. Currently, this is typically…

量子物理 · 物理学 2026-05-26 Vojtěch Kuchař , Petr Marek

We uncover the quantum fluctuation-response inequality, which, in the most general setting, establishes a bound for the mean difference of an observable at two different quantum states, in terms of the quantum relative entropy. When the…

量子物理 · 物理学 2022-03-22 Yan Wang

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

We propose two schemes to obtain Gottesman-Kitaev-Preskill (GKP) error syndromes by means of linear optical operations, homodyne measurements and GKP ancillae. This includes showing that for a concatenation of GKP codes with a $[n,k,d]$…

量子物理 · 物理学 2022-05-04 Frank Schmidt , Peter van Loock

Performing non-Gaussian operations, namely photon addition, photon subtraction, photon-addition-then-subtraction, photon-subtraction-then-addition can successfully enhance the fidelity of the continuous-variable quantum teleportation.…

量子物理 · 物理学 2024-08-27 Deepak , Arpita Chatterjee

Gottesman-Kitaev-Preskill (GKP) qubits, known for their exceptional error-correction capabilities, are highly coveted in quantum computing. However, generating optical GKP qubits has been a significant challenge. Measurement-based methods,…

量子物理 · 物理学 2025-01-06 Andrew J. Pizzimenti , Daniel Soh

In this paper, we study the placement of Phasor Measurement Units (PMU) for enhancing hybrid state estimation via the traditional Gauss-Newton method, which uses measurements from both PMU devices and Supervisory Control and Data…

最优化与控制 · 数学 2016-11-15 Xiao Li , Anna Scaglione , Tsung-Hui Chang

Bosonic codes provide an alternative option for quantum error correction. An important category of bosonic codes called the Gottesman-Kitaev-Preskill (GKP) code has aroused much interest recently. Theoretically, the error correction ability…

量子物理 · 物理学 2023-06-21 Jiaxuan Zhang , Yu-Chun Wu , Guo-Ping Guo

Graph states are the backbone of measurement-based continuous-variable quantum computation. However, experimental realisations of these states induce Gaussian measurement statistics for the field quadratures, which poses a barrier to obtain…

量子物理 · 物理学 2018-11-30 Mattia Walschaers , Supratik Sarkar , Valentina Parigi , Nicolas Treps

Quantum repeaters constitute a promising platform for enabling long distance quantum communication and may ultimately serve as the backbone of a secure quantum internet, a scalable quantum network, or a distributed quantum computer. An…

量子物理 · 物理学 2026-04-13 S. Nibedita Swain , Timothy C. Ralph

We present an architecture for the generation of GKP states in which quadrature squeezing operations are used to control the average photon number statistics of probabilistic photon number measurements on Gaussian resource states.…

量子物理 · 物理学 2025-12-03 Paul Renault , Patrick Yard , Raphael Pooser , Hussain Zaidi

Measuring the state of quantum computers is a highly non-trivial task, with implications for virtually all quantum algorithms. We propose a novel scheme where identical copies of a quantum state are measured jointly so that all Pauli…

量子物理 · 物理学 2025-09-03 Rick P. A. Simon , Zheng Shi , Charlie Nation , Andrew Jena , Luca Dellantonio

We present a formalism to derive entanglement criteria beyond the Gaussian regime that can be readily tested by only homodyne detection. The measured observable is the Einstein-Podolsky-Rosen (EPR) correlation. Its arbitrary functional form…

量子物理 · 物理学 2015-06-03 Hyunchul Nha , Su-Yong Lee , Se-Wan Ji , M. S. Kim

Computation of moments of transformed random variables is a problem appearing in many engineering applications. The current methods for moment transformation are mostly based on the classical quadrature rules which cannot account for the…

统计方法学 · 统计学 2017-01-06 Jakub Prüher , Ondřej Straka

We revisit the problem of estimating an unknown parameter of a pure quantum state, and investigate `null-measurement' strategies in which the experimenter aims to measure in a basis that contains a vector close to the true system state.…

量子物理 · 物理学 2023-10-11 Federico Girotti , Alfred Godley , Mădălin Guţă