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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) encoding of a qubit within an oscillator is particularly appealing for fault-tolerant quantum computing with bosons because Gaussian operations on encoded Pauli eigenstates enable Clifford quantum…

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

Long distance quantum communication will require the use of quantum repeaters to overcome the exponential attenuation of signal with distance. One class of such repeaters utilizes quantum error correction to overcome losses in the…

量子物理 · 物理学 2024-07-31 Filip Rozpędek , Kaushik P. Seshadreesan , Paul Polakos , Liang Jiang , Saikat Guha

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

Gottesman, Kitaev and Preskill have proposed a scheme to encode a qubit in a harmonic oscillator, which is called the GKP code. It is designed to be resistant to small shift errors contained in momentum and position quadratures. Thus…

量子物理 · 物理学 2019-08-02 Yang Wang

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

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…

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…

量子物理 · 物理学 2025-12-04 Gui-Zhong Luo , Matthew Otten

Gottesman-Kitaev-Preskill (GKP) states have been demonstrated to pose significant advantages when utilized for fault-tolerant all optical continuous-variable quantum computing as well as for quantum communications links for entanglement…

量子物理 · 物理学 2025-07-30 Prajit Dhara , Liang Jiang , Saikat Guha

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…

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

Continuous-variable quantum computing architectures based upon the Gottesmann-Kitaev-Preskill (GKP) encoding have emerged as a promising candidate because one can achieve fault-tolerance with a probabilistic supply of GKP states and…

量子物理 · 物理学 2024-02-07 Matthew P. Stafford , Nicolas C. Menicucci

Bosonic codes offer noise resilience for quantum information processing. Good performance often comes at a price of complex decoding schemes, limiting their practicality. Here, we propose using a Gottesman-Kitaev-Preskill (GKP) code to…

量子物理 · 物理学 2023-11-28 Kosuke Fukui , Takaya Matsuura , Nicolas C. Menicucci

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

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

Quantifying the accuracy of logical gates is paramount in approximate error correction, where perfect implementations are often unachievable with the available set of physical operations. To this end, we introduce a single scalar quantity…

量子物理 · 物理学 2025-12-22 Lukas Brenner , Beatriz Dias , Robert Koenig

Magic state distillation and injection is a promising strategy towards universal fault tolerant quantum computation, especially in architectures based on the bosonic Gottesman-Kitaev-Preskill (GKP) codes where non-Clifford gates remain…

量子物理 · 物理学 2025-07-15 Jérémie Boudreault , Ross Shillito , Jean-Baptiste Bertrand , Baptiste Royer

Recent advancements in multi-mode Gottesman-Kitaev-Preskill (GKP) codes have shown great promise in enhancing the protection of both discrete and analog quantum information. This broadened range of protection brings opportunities beyond…

量子物理 · 物理学 2024-09-20 Anthony J. Brady , Jing Wu , Quntao Zhuang

To implement fault-tolerant quantum computation with continuous variables, Gottesman-Kitaev-Preskill (GKP) qubits have been recognized as an important technological element. However, the analog outcome of GKP qubits, which includes…

量子物理 · 物理学 2017-11-13 Kosuke Fukui , Akihisa Tomita , Atsushi Okamoto