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Reliable quantum memory is essential for scalable quantum networks and fault-tolerant photonic quantum computing. We present a quantitative analysis of an all-optical quantum memory architecture in which a Gottesman-Kitaev-Preskill (GKP)…

The Gottesman-Kitaev-Preskill (GKP) code is a promising bosonic quantum error-correcting code, encoding logical qubits into a bosonic mode in such a way that many physically relevant noise types can be corrected effectively. A particularly…

量子物理 · 物理学 2023-11-17 Jacob Hastrup , Ulrik L. Andersen

The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit within an oscillator provides a number of advantages when used in a fault-tolerant architecture for quantum computing, most notably that Gaussian operations suffice to implement all…

量子物理 · 物理学 2017-05-09 Keith R. Motes , Ben Q. Baragiola , Alexei Gilchrist , Nicolas C. Menicucci

In the field of fault-tolerant quantum computing, continuous-variable systems can be utilized to protect quantum information from noise through the use of bosonic codes. These codes map qubit-type quantum information onto the larger bosonic…

量子物理 · 物理学 2024-02-13 Yu Zheng , Alessandro Ferraro , Anton Frisk Kockum , Giulia Ferrini

Determining the quantum capacity of a noisy quantum channel is an important problem in the field of quantum communication theory. In this work, we consider the Gaussian random displacement channel $N_{\sigma}$, a type of bosonic Gaussian…

量子物理 · 物理学 2025-05-29 Mao Lin , Kyungjoo Noh

Bosonic quantum error correction enables hardware-efficient protection of quantum information by encoding logical qubits in harmonic oscillators. Bosonic grid states, such as Gottesman-Kitaev-Preskill (GKP) states, are particularly…

Quantum repeaters that incorporate quantum error correction codes have been shown to be a promising alternative compared with the original quantum repeaters that rely upon probabilistic quantum error detection depending on classical…

量子物理 · 物理学 2024-06-12 Stefan Häussler , Peter van Loock

Encoding a qubit in the continuous degrees of freedom of an oscillator is a promising path to error-corrected quantum computation. One advantageous way to achieve this is through Gottesman-Kitaev-Preskill (GKP) grid states, whose symmetries…

量子物理 · 物理学 2020-03-18 Ilan Tzitrin , J. Eli Bourassa , Nicolas C. Menicucci , Krishna Kumar Sabapathy

Concatenated bosonic-stabilizer codes have recently gained prominence as promising candidates for achieving low-overhead fault-tolerant quantum computing in the long term. In such systems, analog information obtained from the syndrome…

量子物理 · 物理学 2025-05-13 Shantom K. Borah , Asit K. Pradhan , Nithin Raveendran , Michele Pacenti , Bane Vasic

Quantum error correction requires accurate and efficient decoding to optimally suppress errors in the encoded information. For concatenated codes, where one code is embedded within another, optimal decoding can be achieved using a…

量子物理 · 物理学 2025-05-07 Basudha Srivastava , Yinzi Xiao , Anton Frisk Kockum , Ben Criger , Mats Granath

We demonstrate a method for encoding Gottesman-Kitaev-Preskill (GKP) error-correcting qubits with single ultracold atoms trapped in individual sites of a deep optical lattice. Using quantum optimal control protocols, we demonstrate the…

量子物理 · 物理学 2023-12-15 Harry C. P. Kendell , Giacomo Ferranti , Carrie A. Weidner

We introduce a new approach to Gottesman-Kitaev-Preskill (GKP) states that treats their finite-energy version in an exact manner. Based on this analysis, we develop new qubit-oscillator circuits that autonomously stabilize a GKP manifold,…

量子物理 · 物理学 2021-01-04 Baptiste Royer , Shraddha Singh , S. M. Girvin

Encoding logical quantum information in harmonic oscillator modes is a promising and hardware-efficient approach to the realization of a quantum computer. In this work, we propose to encode logical qubits in grid states of an ensemble of…

量子物理 · 物理学 2022-03-11 Baptiste Royer , Shraddha Singh , Steven M. Girvin

The Gottesman-Kitaev-Preskill (GKP) code is a promising bosonic candidate for realizing fault-tolerant quantum computation. Among existing error-correction protocols for GKP code, the Steane-type scheme is a canonical and widely adopted…

量子物理 · 物理学 2026-04-10 Xiang-Jiang Chen , Hao-Miao Jiang , Liu-Jun Wang , Qing Chen

Quantum bits are more robust to noise when they are encoded non-locally. In such an encoding, errors affecting the underlying physical system can then be detected and corrected before they corrupt the encoded information. In 2001,…

We present a general approach to error detection of bosonic quantum error-correction codes via an adaptive quantum phase estimation algorithm assisted by a single ancilla qubit. The approach is applicable to a broad class of bosonic codes…

量子物理 · 物理学 2025-10-08 Yuan-De Jin , Shi-Yu Zhang , Ulrik L. Andersen , Wen-Long Ma

Continuous-variable (CV) systems have shown remarkable potential for quantum computation, particularly excelling in scalability and error correction through bosonic encoding. Within this framework, the foundational notion of computational…

量子物理 · 物理学 2025-06-17 Sheron Blair , Francesco Arzani , Giulia Ferrini , Alessandro Ferraro

The Knill-Laflamme (KL) conditions distinguish exact quantum error correction codes, and it has played a critical role in the discovery of state-of-the-art codes. However, the family of exact codes is a very restrictive one and does not…

量子物理 · 物理学 2024-06-21 Guo Zheng , Wenhao He , Gideon Lee , Liang Jiang

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

The Gottesman-Kitaev-Preskill (GKP) quantum error correcting code attracts much attention in continuous variable (CV) quantum computation and CV quantum communication due to the simplicity of error correcting routines and the high tolerance…

量子物理 · 物理学 2020-09-23 Takaya Matsuura , Hayata Yamasaki , Masato Koashi