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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

Decoherence errors arising from noisy environments remain a central obstacle to progress in quantum computation and information processing. Quantum error correction (QEC) based on the Gottesman-Kitaev-Preskill (GKP) protocol offers a…

In order to achieve fault-tolerant quantum computing, we make use of quantum error correction schemes designed to protect the logical information of the system from decoherence. A promising way to preserve such information is to use the…

量子物理 · 物理学 2025-10-27 Marc-Antoine Roy , Thomas Pousset , Baptiste Royer

The Gottesman-Kitaev-Preskill (GKP) coding is proven to be a good candidate for encoding a qubit on continuous variables (CV) since it is robust under random-shift disturbance. Its preparation in optical systems, however, is challenging to…

量子物理 · 物理学 2024-12-24 Fattah Sakuldee

The ability to perform high-fidelity quantum nondemolition qubit readout is pivotal for the realization of large and powerful quantum computers. Such readout of superconducting qubits is generally enabled by amplifying the weak dispersive…

量子物理 · 物理学 2026-03-18 Baleegh Abdo , William Shanks , Oblesh Jinka , J. R. Rozen

Advanced gravitational-wave detectors are limited by quantum noise in their most sensitive frequency band. Quantum noise suppression techniques, such as the application of the quantum squeezed state of light, have been actively studied in…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Teng Zhang , Denis Martynov , Andreas Freise , Haixing Miao

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 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

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

Both discrete and continuous systems can be used to encode quantum information. Most quantum computation schemes propose encoding qubits in two-level systems, such as a two-level atom or an electron spin. Others exploit the use of an…

量子物理 · 物理学 2012-05-18 Hilma Vasconcelos , Liliana Sanz , Scott Glancy

We propose methods for the preparation and entanglement detection of multi-qubit GHZ states in circuit quantum electrodynamics. Using quantum trajectory simulations appropriate for the situation of a weak continuous measurement, we show…

Gottesman-Kitaev-Preskill (GKP) encoding holds promise for continuous-variable fault-tolerant quantum computing. While an ideal GKP encoding is abstract and impractical due to its nonphysical nature, approximate versions provide viable…

量子物理 · 物理学 2025-03-03 Yexiong Zeng , Wei Qin , Ye-Hong Chen , Clemens Gneiting , Franco Nori

The Gottesman-Kitaev-Preskill (GKP) code offers the possibility to encode higher-dimensional qudits into individual bosonic modes with, for instance, photonic excitations. Since photons enable the reliable transmission of quantum…

量子物理 · 物理学 2023-03-29 Frank Schmidt , Daniel Miller , Peter van Loock

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

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

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

Gottesman-Kitaev-Preskill (GKP) states are a central resource for fault-tolerant optical continuous-variable quantum computing and communication. However, their realization in the optical domain remains to be demonstrated. Here we propose a…

量子物理 · 物理学 2022-05-11 Jacob Hastrup , Ulrik L. Andersen

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…

量子物理 · 物理学 2023-12-22 Mao Lin , Christopher Chamberland , Kyungjoo Noh

To implement fault-tolerant quantum computation (FTQC) with continuous variables, continuous variables need to be digitized using an appropriate code such as the Gottesman--Kitaev--Preskill (GKP) qubit. The scheme introduced in [K. Fukui…

量子物理 · 物理学 2023-06-06 Kosuke Fukui

Encoding logical qubits in bosonic modes provides a potentially hardware-efficient implementation of fault-tolerant quantum information processing. Here, we demonstrate high-fidelity and deterministic preparation of highly non-classical…

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