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We describe a superconducting circuit consisting of a Josephson junction in parallel with a quantum phase slip wire, which implements a Hamiltonian that is periodic in both charge and flux. This Hamiltonian is exactly diagonalisable in a…

Quantum Physics · Physics 2020-05-12 Dat Thanh Le , Arne Grimsmo , Clemens Müller , T. M. Stace

Quantum error correction has recently been shown to benefit greatly from specific physical encodings of the code qubits. In particular, several researchers have considered the individual code qubits being encoded with the continuous…

Continuous-variable measurement-based quantum computation, which requires deterministically generated large-scale cluster state, is a promising candidate for practical, scalable, universal, and fault-tolerant quantum computation. In this…

Quantum Physics · Physics 2025-06-03 Peilin Du , Jing Zhang , Tiancai Zhang , Rongguo Yang , Jiangrui Gao

Scalability of flying photonic quantum systems in generating quantum entanglement offers a potential for implementing large-scale fault-tolerant quantum computation, especially by means of measurement-based quantum computation (MBQC).…

Quantum Physics · Physics 2020-06-11 Hayata Yamasaki , Kosuke Fukui , Yuki Takeuchi , Seiichiro Tani , Masato Koashi

Bosonic quantum error-correcting codes encode logical information in a harmonic oscillator, with the Gottesman-Kitaev-Preskill (GKP) and number-phase (NP) codes representing two fundamentally different encoding paradigms. Although both have…

Quantum Physics · Physics 2026-03-02 Kai-Xuan Wen , Dong-Long Hu , Shengyong Li , Ze-Liang Xiang

There are various approaches to long-range quantum communication based on conceptually different forms of quantum repeaters. Here we explore a quantum repeater scheme that employs quantum error correction (QEC) both on the flying (light)…

Quantum Physics · Physics 2025-08-04 Stefan Häussler , Peter van Loock

The performance of Gottesman-Kitaev-Preskill (GKP) codes, an approach to hardware-efficient quantum error correction, is limited by the finite squeezing capabilities of current experimental platforms. To circumvent this hardware demand, we…

Quantum Physics · Physics 2025-12-04 Gui-Zhong Luo , Matthew Otten

Quantum error correction (QEC) plays an essential role in fault-tolerantly realizing quantum algorithms of practical interest. Among different approaches to QEC, encoding logical quantum information in harmonic oscillator modes has been…

Quantum Physics · Physics 2023-12-22 Mao Lin , Christopher Chamberland , Kyungjoo Noh

We propose and analyze an experimentally accessible Lindblad master equation for a quantum harmonic oscillator, simplifying a previous proposal to alleviate implementation constraints. It approximately stabilizes periodic grid states…

Quantum Physics · Physics 2026-04-16 Rémi Robin , Pierre Rouchon , Lev-Arcady Sellem

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…

Quantum Physics · Physics 2019-03-19 Kyungjoo Noh , Victor V. Albert , Liang Jiang

Hosting non-classical states of light in three-dimensional microwave cavities has emerged as a promising paradigm for continuous-variable quantum information processing. Here we experimentally demonstrate high-fidelity generation of a range…

The development of a continuous-variable photonic quantum computer depends on the reliable preparation of high-quality Gottesman-Kitaev-Preskill states. The most promising GKP preparation scheme is the cat breeding protocol, which can…

Quantum Physics · Physics 2025-08-11 Olga Solodovnikova , Ulrik L. Andersen , Jonas S. Neergaard-Nielsen

In this work, we study the Wigner phase-space representation of qubit states encoded in continuous variables (CV) by using the Gottesman-Kitaev-Preskill (GKP) mapping. We explore a possible connection between resources for universal quantum…

Quantum Physics · Physics 2020-11-23 L. García-Álvarez , A. Ferraro , G. Ferrini

Generating logical qubits, essential for error detection and correction in quantum computation, remains a critical challenge in continuous-variable (CV) optical quantum information processing. The Gottesman-Kitaev-Preskill (GKP) code is a…

Bosonic qubits are a promising route to building fault-tolerant quantum computers on a variety of physical platforms. Studying the performance of bosonic qubits under realistic gates and measurements is challenging with existing analytical…

Bosonic quantum error correction is a viable option for realizing error-corrected quantum information processing in continuous-variable bosonic systems. Various single-mode bosonic quantum error-correcting codes such as cat, binomial, and…

Quantum Physics · Physics 2020-01-14 Kyungjoo Noh , Christopher Chamberland

With the Gottesman-Kitaev-Preskill (GKP) encoding, Clifford gates and error correction can be carried out using simple Gaussian operations. Still, non-Clifford gates, required for universality, require non-Gaussian elements. In their…

Bosonic fault tolerant quantum computing requires preparations of Bosonic code states like cat states and GKP states with high fidelity and reliable quantum certification of these states. Although many proposals on preparing these states…

Quantum Physics · Physics 2022-12-01 Ya-Dong Wu

Cat states and Gottesman-Kitaev-Preskill (GKP) states play a key role in quantum computation and communication with continuous variables. The creation of such states relies on strong nonlinear light-matter interactions, which are widely…

Quantum Physics · Physics 2026-01-30 Raphael Dahan , Gefen Baranes , Alexey Gorlach , Ron Ruimy , Nicholas Rivera , Ido Kaminer

To implement fault-tolerant quantum computation with continuous variables, the Gottesman--Kitaev--Preskill (GKP) qubit has been recognized as an important technological element. We have proposed a method to reduce the required squeezing…

Quantum Physics · Physics 2018-08-23 Kosuke Fukui , Akihisa Tomita , Atsushi Okamoto
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