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The Gottesman-Kitaev-Preskill (GKP) error correcting code encodes a finite dimensional logical space in one or more bosonic modes, and has recently been demonstrated in trapped ions and superconducting microwave cavities. In this work we…

Quantum Physics · Physics 2024-03-05 Mackenzie H. Shaw , Andrew C. Doherty , Arne L. Grimsmo

We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lattice theory, in order to better understand the structure of this class of…

Quantum Physics · Physics 2022-02-14 Jonathan Conrad , Jens Eisert , Francesco Arzani

Fault-tolerant quantum error correction is essential for implementing quantum algorithms of significant practical importance. In this work, we propose a highly effective use of the surface-GKP code, i.e., the surface code consisting of…

Quantum Physics · Physics 2022-02-01 Kyungjoo Noh , Christopher Chamberland , Fernando G. S. L. Brandão

Accurate assessment and management of errors is indispensable for extracting useful results from noisy intermediate-scale quantum (NISQ) devices. In this work, we propose the qubit error probability (QEP), a device specific metric that…

Quantum Physics · Physics 2026-02-25 Nahual Sobrino , Unai Aseginolaza , Joaquim Jornet-Somoza , Juan Borge

The pursuit of practical quantum utility on near-term quantum processors is critically challenged by their inherent noise. Quantum error mitigation (QEM) techniques are leading solutions to improve computation fidelity with relatively low…

Quantum Physics · Physics 2025-11-11 Wei-You Liao , Ge Yan , Yujin Song , Tian-Ci Tian , Wei-Ming Zhu , De-Tao Jiang , Yuxuan Du , He-Liang Huang

Quantum repeaters constitute a promising platform for enabling long distance quantum communication and may ultimately serve as the backbone of a secure quantum internet, a scalable quantum network, or a distributed quantum computer. An…

Quantum Physics · Physics 2026-04-13 S. Nibedita Swain , Timothy C. Ralph

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…

Quantum Physics · Physics 2020-03-18 Ilan Tzitrin , J. Eli Bourassa , Nicolas C. Menicucci , Krishna Kumar Sabapathy

Error mitigation is essential for unlocking the full potential of quantum algorithms and accelerating the timeline toward quantum advantage. As quantum hardware progresses to push the boundaries of classical simulation, efficient and robust…

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…

Quantum Physics · Physics 2025-05-29 Mao Lin , Kyungjoo Noh

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…

Quantum Physics · Physics 2024-06-12 Stefan Häussler , Peter van Loock

Quantum error mitigation (QEM) is essential for the noisy intermediate-scale quantum era, and will remain relevant for early fault-tolerant quantum computers, where logical error rates are still significant. However, most QEM methods incur…

Quantum Physics · Physics 2026-03-25 Pablo Díez-Valle , Gaurav Saxena , Jack S. Baker , Jun-Ho Lee , Thi Ha Kyaw

As a crossover frontier of physics and mechanics, quantum computing is showing its great potential in computational mechanics. However, quantum hardware noise remains a critical barrier to achieving accurate simulation results due to the…

Computational Engineering, Finance, and Science · Computer Science 2024-11-25 Zengtao Kuang , Yongchun Xu , Qun Huang , Jie Yang , Chafik El Kihal , Heng Hu

Quantum computers in the NISQ era are prone to noise. A range of quantum error mitigation techniques has been proposed to address this issue. Zero-noise extrapolation (ZNE) stands out as a promising one. ZNE involves increasing the noise…

Quantum Physics · Physics 2024-02-01 Hrushikesh Patil , Peiyi Li , Ji Liu , Huiyang Zhou

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…

We propose two schemes to obtain Gottesman-Kitaev-Preskill (GKP) error syndromes by means of linear optical operations, homodyne measurements and GKP ancillae. This includes showing that for a concatenation of GKP codes with a $[n,k,d]$…

Quantum Physics · Physics 2022-05-04 Frank Schmidt , Peter van Loock

Quantum repeaters are a promising platform for realizing long-distance quantum communication and thus could form the backbone of a secure quantum internet, a scalable quantum network, or a distributed quantum computer. Repeater protocols…

Quantum Physics · Physics 2021-08-09 Kosuke Fukui , Rafael N. Alexander , Peter van Loock

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…

Quantum Physics · Physics 2023-06-06 Kosuke Fukui

Zero noise extrapolation (ZNE) is a widely used technique for gate error mitigation on near term quantum computers because it can be implemented in software and does not require knowledge of the quantum computer noise parameters.…

Quantum Physics · Physics 2022-05-03 Vincent R. Pascuzzi , Andre He , Christian W. Bauer , Wibe A. de Jong , Benjamin Nachman

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…

Errors are the primary bottleneck preventing practical quantum computing. This challenge is exacerbated in the distributed quantum computing regime, where quantum networks introduce additional communication-induced noise. While error…

Quantum Physics · Physics 2026-02-06 Maria Gragera Garces