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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

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

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

Entanglement has shown promise in enhancing information processing tasks in a sensor network, via distributed quantum sensing protocols. As noise is ubiquitous in sensor networks, error correction schemes based on Gottesman, Kitaev and…

Quantum Physics · Physics 2022-07-20 Boyu Zhou , Anthony J. Brady , Quntao Zhuang

Bosonic encoding of quantum information into harmonic oscillators is a hardware efficient approach to battle noise. In this regard, oscillator-to-oscillator codes not only provide an additional opportunity in bosonic encoding, but also…

Quantum Physics · Physics 2023-11-27 Jing Wu , Anthony J. Brady , Quntao Zhuang

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…

Quantum Physics · Physics 2017-05-09 Keith R. Motes , Ben Q. Baragiola , Alexei Gilchrist , Nicolas C. Menicucci

We study the code obtained by concatenating the standard single-mode Gottesman-Kitaev-Preskill (GKP) code with the surface code. We show that the noise tolerance of this surface-GKP code with respect to (Gaussian) displacement errors…

Quantum Physics · Physics 2020-11-18 Lisa Hänggli , Margret Heinze , Robert Koenig

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…

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…

Gottesman-Kitaev-Preskill (GKP) states appear to be amongst the leading candidates for correcting errors when encoding qubits into oscillators. However the preparation of GKP states remains a significant theoretical and experimental…

Quantum Physics · Physics 2019-09-06 Yunong Shi , Christopher Chamberland , Andrew W. Cross

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

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…

Quantum Physics · Physics 2020-09-23 Takaya Matsuura , Hayata Yamasaki , Masato Koashi

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

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…

Quantum computing holds the promise of solving classically intractable problems. Enabling this requires scalable and hardware-efficient quantum processors with vanishing error rates. This perspective manuscript describes how bosonic codes,…

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

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…

Quantum Physics · Physics 2024-04-08 Mackenzie H. Shaw , Andrew C. Doherty , Arne L. Grimsmo

The scalability of photonic implementations of fault-tolerant quantum computing based on Gottesman-Kitaev-Preskill (GKP) qubits is injured by the requirements of inline squeezing and reconfigurability of the linear optical network. In this…

Bosonic quantum error correction codes encode logical qubits in the Hilbert space of one or multiple harmonic oscillators. A prominent class of bosonic codes is that of Gottesman-Kitaev-Preskill (GKP) codes of which implementations have…

Quantum Physics · Physics 2025-02-28 Leon H. Bohnmann , David F. Locher , Johannes Zeiher , Markus Müller

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