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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

Continuous-variable cluster states allow for fault-tolerant measurement-based quantum computing when used in tandem with the Gottesman-Kitaev-Preskill (GKP) encoding of a qubit into a bosonic mode. For quad-rail-lattice macronode cluster…

Quantum Physics · Physics 2022-01-05 Blayney W. Walshe , Rafael N. Alexander , Nicolas C. Menicucci , Ben Q. Baragiola

Classically simulating circuits with bosonic codes is challenging due to the prohibitive cost of simulating quantum systems with many, possibly infinite, energy levels. We propose an algorithm to simulate circuits with encoded…

Quantum Physics · Physics 2025-10-15 Cameron Calcluth , Oliver Hahn , Juani Bermejo-Vega , Alessandro Ferraro , Giulia Ferrini

The Gottesman-Kitaev-Preskill (GKP) error correcting code uses a bosonic mode to encode a logical qubit, and has the attractive property that its logical Clifford gates can be implemented using Gaussian unitary gates. In contrast, a direct…

Quantum Physics · Physics 2025-11-26 Minh T. P. Nguyen , Mackenzie H. Shaw

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…

Quantum Physics · Physics 2023-11-28 Kosuke Fukui , Takaya Matsuura , Nicolas C. Menicucci

Continuous-variable quantum information processing through quantum optics offers a promising platform for building the next generation of scalable fault-tolerant information processors. To achieve quantum computational advantages and fault…

Quantum Physics · Physics 2021-05-25 Rajveer Nehra , Miller Eaton , Olivier Pfister , Alireza Marandi

A promising route towards fault-tolerant quantum error correction is the concatenation of a Gottesman-Kitaev-Preskill (GKP) code with a qubit code. Development of such concatenated codes requires simulation tools which realistically model…

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…

Photonic quantum computing has gained significant interest in recent years due to its potential for scaling to large numbers of qubits. A critical requirement for fault-tolerant quantum computation is the reliable generation of non-Gaussian…

Quantum Physics · Physics 2026-03-20 S. Ismailzadeh , B. Abedi Ravan

Continuous-variable bosonic systems stand as prominent candidates for implementing quantum computational tasks. While various necessary criteria have been established to assess their resourcefulness, sufficient conditions have remained…

Quantum Physics · Physics 2024-10-08 Cameron Calcluth , Nicolas Reichel , Alessandro Ferraro , Giulia Ferrini

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…

Bosonic codes provide an alternative option for quantum error correction. An important category of bosonic codes called the Gottesman-Kitaev-Preskill (GKP) code has aroused much interest recently. Theoretically, the error correction ability…

Quantum Physics · Physics 2023-06-21 Jiaxuan Zhang , Yu-Chun Wu , Guo-Ping Guo

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…

Quantum Physics · Physics 2023-11-17 Jacob Hastrup , Ulrik L. Andersen

Graph states are a central resource in measurement-based quantum information processing. In the photonic qubit architecture based on Gottesman-Kitaev-Preskill (GKP) encoding, the generation of high-fidelity graph states composed of…

Quantum Physics · Physics 2022-05-24 Kaushik P. Seshadreesan , Prajit Dhara , Ashlesha Patil , Liang Jiang , Saikat Guha

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…

We examine continuous-variable gate teleportation using entangled states made from pure product states sent through a beamsplitter. We show that such states are Choi states for a (typically) non-unitary gate, and we derive the associated…

Quantum Physics · Physics 2021-01-04 Blayney W. Walshe , Ben Q. Baragiola , Rafael N. Alexander , Nicolas C. Menicucci

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…

Quantum Physics · Physics 2025-10-08 Yuan-De Jin , Shi-Yu Zhang , Ulrik L. Andersen , Wen-Long Ma

The early Gottesman, Kitaev, and Preskill (GKP) proposal for encoding a qubit in an oscillator has recently been followed by cat- and binomial-code proposals. Numerically optimized codes have also been proposed, and we introduce new codes…

Hybrid bosonic codes combining bosonic codes with photon states offer a promising pathway for fault-tolerant quantum computation. However, the efficient generation of such states in optical setups remains technically challenging due to the…

Quantum Physics · Physics 2026-03-23 Shohei Kiryu , Yohji Chin , Masahiro Takeoka , Kosuke Fukui

Non-Gaussian operations are essential for most bosonic quantum technologies. Yet, realizable non-Gaussian gates are rather limited in type and generally suffer from accuracy-duration trade-offs. In this work, we propose to use quantum…

Quantum Physics · Physics 2025-10-31 Pak-Tik Fong , Hoi-Kwan Lau