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The Gottesman-Kitaev-Preskill (GKP) quantum error-correcting code has emerged as a key technique in achieving fault-tolerant quantum computation using photonic systems. Whereas [Baragiola et al., Phys. Rev. Lett. 123, 200502 (2019)] showed…

量子物理 · 物理学 2020-11-10 Hayata Yamasaki , Takaya Matsuura , Masato Koashi

Physical Gottesman-Kitaev-Preskill (GKP) states are inherently noisy as ideal ones would require infinite energy. While this is typically considered as a deficiency to be actively corrected, this work demonstrates that imperfect GKP…

量子物理 · 物理学 2026-03-12 Fariba Hosseinynejad , Pavithran Iyer , Guillaume Dauphinais , David L. Feder

The Gottesman-Kitaev-Preskill (GKP) code was proposed in 2001 by Daniel Gottesman, Alexei Kitaev, and John Preskill as a way to encode a qubit in an oscillator. The GKP codewords are coherent superpositions of periodically displaced…

量子物理 · 物理学 2021-06-25 Arne L. Grimsmo , Shruti Puri

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 Gottesman-Kitaev-Preskill (GKP) code encodes a logical qubit into a bosonic system with resilience against single-photon loss, the predominant error in most bosonic systems. Here we present experimental results demonstrating quantum…

To be useful, quantum computers will be required to successfully correct errors occurring at the hardware level. Bosonic codes provide a hardware-efficient option for error correction, but fault-tolerance further requires that the available…

Encoding quantum information into a set of harmonic oscillators is considered a hardware efficient approach to mitigate noise for reliable quantum information processing. Various codes have been proposed to encode a qubit into an oscillator…

量子物理 · 物理学 2025-05-13 Anthony J. Brady , Alec Eickbusch , Shraddha Singh , Jing Wu , Quntao Zhuang

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…

The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit into a bosonic mode is a promising bosonic code for quantum computation due to its tolerance for noise and all-Gaussian gate set. We present a toolkit for phase-space description and…

量子物理 · 物理学 2021-08-26 Lucas J. Mensen , Ben Q. Baragiola , Nicolas C. Menicucci

The Gottesman-Kitaev-Preskill (GKP) code is an exciting route to fault-tolerant quantum computing since Gaussian resources and GKP Pauli-eigenstate preparation are sufficient to achieve universal quantum computing. In this work, we provide…

量子物理 · 物理学 2024-04-08 Mackenzie H. Shaw , Andrew C. Doherty , Arne L. Grimsmo

A quantum computer with low-error, high-speed quantum operations and capability for interconnections is required for useful quantum computations. A logical qubit called Gottesman-Kitaev-Preskill (GKP) qubit in a single Bosonic harmonic…

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

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

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

Bosonic quantum error correction encodes a logical qubit in an oscillator, avoiding the hardware overhead of large qubit arrays. Among such encodings, Gottesman-Kitaev-Preskill (GKP) states are paticularly powerful because their phase-space…

量子物理 · 物理学 2026-05-01 Zi-Xu Lu , Gang Liu , Matteo Fadel , Jie Li

The realisation of a universal quantum computer at scale promises to deliver a paradigm shift in information processing, providing the capability to solve problems that are intractable with conventional computers. A key limiting factor of…

To implement fault-tolerant quantum computation with continuous variables, the Gottesman-Kitaev-Preskill (GKP) qubit has been recognized as an important technological element. However,it is still challenging to experimentally generate the…

量子物理 · 物理学 2018-05-29 Kosuke Fukui , Akihisa Tomita , Atsushi Okamoto , Keisuke Fujii

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

With the significance of continuous-variable quantum computing increasing thanks to the achievements of light-based quantum hardware, making it available to learner audiences outside physics has been an important yet seldom-tackled…

量子物理 · 物理学 2025-07-10 Richard A. Wolf , Pavithran Iyer

Straightforward logical operations contrasting with complex state preparation are the hallmarks of the bosonic encoding proposed by Gottesman, Kitaev and Preskill (GKP). The recently reported generation and error-correction of GKP qubits in…

量子物理 · 物理学 2023-09-20 Christian Siegele , Philippe Campagne-Ibarcq
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