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We introduce a new approach to Gottesman-Kitaev-Preskill (GKP) states that treats their finite-energy version in an exact manner. Based on this analysis, we develop new qubit-oscillator circuits that autonomously stabilize a GKP manifold,…

Quantum Physics · Physics 2021-01-04 Baptiste Royer , Shraddha Singh , S. M. Girvin

Quantum error correction is essential for robust quantum information processing with noisy devices. As bosonic quantum systems play a crucial role in quantum sensing, communication, and computation, it is important to design error…

Quantum Physics · Physics 2021-03-26 Jing Wu , Quntao Zhuang

It is well known that the repeater node is an essential ingredient for the future global quantum network, which will enable high-rate private communication and entanglement distribution over very long distances. The near-term repeater…

Quantum Physics · Physics 2026-05-06 Zhiyue Zuo , Stefano Pirandola

We present techniques for performing two-qubit gates on Gottesman-Kitaev-Preskill (GKP) codes with finite energy, and find that operations designed for ideal infinite-energy codes create undesired entanglement when applied to physically…

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…

Quantum Physics · Physics 2024-09-20 Anthony J. Brady , Jing Wu , Quntao Zhuang

The GKP encoding is a top contender among bosonic codes for fault-tolerant quantum computation. Analysis of the GKP code is complicated by the fact that finite-energy code states leak out of the ideal GKP code space and are not orthogonal.…

Quantum Physics · Physics 2026-01-01 Mahnaz Jafarzadeh , Jonathan Conrad , Rafael N. Alexander , Ben Q. Baragiola

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…

Quantum Physics · Physics 2026-03-12 Fariba Hosseinynejad , Pavithran Iyer , Guillaume Dauphinais , David L. Feder

We initiate the study of state complexity for continuous-variable quantum systems. Concretely, we consider a setup with bosonic modes and auxiliary qubits, where available operations include Gaussian one- and two-mode operations, single-…

Quantum Physics · Physics 2025-11-06 Lukas Brenner , Libor Caha , Xavier Coiteux-Roy , Robert Koenig

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…

Quantum Physics · Physics 2022-05-11 Jacob Hastrup , Ulrik L. Andersen

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…

Quantum Physics · Physics 2024-12-24 Fattah Sakuldee

GKP codes encode a qubit in displaced phase space combs of a continuous-variable (CV) quantum system and are useful for correcting a variety of high-weight photonic errors. Here we propose atomic ensemble analogues of the single-mode CV GKP…

Quantum Physics · Physics 2023-12-06 Sivaprasad Omanakuttan , T. J. Volkoff

Quantum error correction has recently been shown to benefit greatly from specific physical encodings of the code qubits. In particular, several researchers have considered the individual code qubits being encoded with the continuous…

Stabilization of encoded logical qubits using quantum error correction is key to the realization of reliable quantum computers. While qubit codes require many physical systems to be controlled, oscillator codes offer the possibility to…

Quantum Physics · Physics 2020-10-20 Brennan de Neeve , Thanh Long Nguyen , Tanja Behrle , Jonathan Home

The Gottesman-Kitaev-Preskill (GKP) code may be used to overcome noise in continuous variable quantum systems. However, preparing GKP states remains experimentally challenging. We propose a method for preparing GKP states by engineering a…

Quantum Physics · Physics 2024-04-16 Xanda C. Kolesnikow , Raditya Weda Bomantara , Andrew C. Doherty , Arne L. Grimsmo

In autonomous quantum error correction the lifetime of a logical bosonic qubit can be extended beyond its physical constituents without feedback measurements. Leveraging autonomous error correction, we propose a second-generation gate-based…

Quantum Physics · Physics 2025-12-24 Hany Khalifa , Matti Silveri

The Gottesman-Kitaev-Preskill encoding of a qubit in a harmonic oscillator is a promising building block towards fault-tolerant quantum computation. Recently, this encoding was experimentally demonstrated for the first time in trapped-ion…

Quantum Physics · Physics 2021-06-07 Jacob Hastrup , Ulrik Lund Andersen

Concatenating bosonic error-correcting codes with qubit codes can substantially boost the error-correcting power of the original qubit codes. It is not clear how to concatenate optimally, given there are several bosonic codes and…

Quantum Physics · Physics 2023-06-21 Yijia Xu , Yixu Wang , En-Jui Kuo , Victor V. Albert

Quantum information is vulnerable to environmental noise and experimental imperfections, hindering the reliability of practical quantum information processors. Therefore, quantum error correction (QEC) that can protect quantum information…

Quantum Physics · Physics 2021-01-26 W. Cai , Y. Ma , W. Wang , C. -L. Zou , L. Sun

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…

Quantum Physics · Physics 2025-07-30 Prajit Dhara , Liang Jiang , Saikat Guha

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
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