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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

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…

Bosonic quantum error correction enables hardware-efficient protection of quantum information by encoding logical qubits in harmonic oscillators. Bosonic grid states, such as Gottesman-Kitaev-Preskill (GKP) states, are particularly…

Reliable entangling gates for qubits encoded in single-photon states represent a major challenge on the road to scalable quantum computing architectures based on linear optics. In this work, we present two approaches to develop…

Quantum Physics · Physics 2019-03-27 Fabian Ewert , Peter van Loock

Bosonic codes have seen a resurgence in interest for applications as varied as fault tolerant quantum architectures, quantum enhanced sensing, and entanglement distribution. Cat codes have been proposed as low-level elements in larger…

Quantum Physics · Physics 2026-04-29 Michael Hanks , Soovin Lee , Nicolo Lo Piparo , Shin Nishio , William J. Munro , Kae Nemoto , M. S. Kim

Quantum error correction is essential for achieving fault-tolerant quantum computing. Gottesman-Kitaev-Preskill (GKP) codes are particularly effective at correcting continuous noise, such as Gaussian noise and loss, and can significantly…

Continuous-variable (CV) systems have shown remarkable potential for quantum computation, particularly excelling in scalability and error correction through bosonic encoding. Within this framework, the foundational notion of computational…

Quantum Physics · Physics 2025-06-17 Sheron Blair , Francesco Arzani , Giulia Ferrini , Alessandro Ferraro

Continuous-variable measurement-based quantum computation, which requires deterministically generated large-scale cluster state, is a promising candidate for practical, scalable, universal, and fault-tolerant quantum computation. In this…

Quantum Physics · Physics 2025-06-03 Peilin Du , Jing Zhang , Tiancai Zhang , Rongguo Yang , Jiangrui Gao

The stored-program architecture is canonical in classical computing, while its power has not been fully recognized for the quantum case. We study quantum information processing with stored quantum program states, i.e., using qubits instead…

Quantum Physics · Physics 2020-05-13 Dong-Sheng Wang

GKP states, introduced by Gottesman, Kitaev, and Preskill, are continuous variable logical qubits that can be corrected for errors caused by phase space displacements. Their experimental realization is challenging, in particular using…

Quantum Physics · Physics 2024-12-09 Éloi Descamps , Arne Keller , Pérola Milman

Quantum computers promise dramatic speed ups for many computational tasks. For large-scale quantum computation however, the inevitable coupling of physical qubits to the noisy environment imposes a major challenge for a real-life…

Quantum Physics · Physics 2010-03-04 Alexander M. Goebel , Claudia Wagenknecht , Qiang Zhang , Yu-Ao Chen , Jian-Wei Pan

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,…

Bosonic quantum error correction encodes a logical qubit in an oscillator, avoiding the hardware overhead of large qubit arrays. Among such encodings, Gottesman-Kitaev-Preskill (GKP) states are paticularly powerful because their phase-space…

Quantum Physics · Physics 2026-05-01 Zi-Xu Lu , Gang Liu , Matteo Fadel , Jie Li

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…

Quantum Physics · Physics 2025-05-13 Anthony J. Brady , Alec Eickbusch , Shraddha Singh , Jing Wu , Quntao Zhuang

The Gottesman-Kitaev-Preskill (GKP) code encodes a logical qubit into a bosonic system with resilience against single-photon loss, the predominant error in most bosonic systems. Here we present experimental results demonstrating quantum…

In the field of fault-tolerant quantum computing, continuous-variable systems can be utilized to protect quantum information from noise through the use of bosonic codes. These codes map qubit-type quantum information onto the larger bosonic…

Quantum Physics · Physics 2024-02-13 Yu Zheng , Alessandro Ferraro , Anton Frisk Kockum , Giulia Ferrini

The continuous-variable (CV) Gaussian no-go theorem fundamentally limits the suppression of Gaussian displacement errors using only Gaussian gates and states. Prior studies have employed Gottesman-Kitaev-Preskill (GKP) states as ancillary…

Quantum Physics · Physics 2026-04-21 Fucheng Guo , Frank Mueller , Yuan Liu

Continuous variable measurement-based quantum computation on cluster states has in recent years shown great potential for scalable, universal, and fault-tolerant quantum computation when combined with the Gottesman-Kitaev-Preskill (GKP)…

We propose a modified quantum teleportation scheme to increase the teleportation accuracy by applying a cubic phase gate to the displaced squeezed state. We have described the proposed scheme in Heisenberg's language, evaluating it from the…

Quantum Physics · Physics 2021-09-29 E. R. Zinatullin , S. B. Korolev , T. Yu. Golubeva

We experimentally demonstrate a controlled-phase gate for continuous variables in a fully measurement-based fashion. In our scheme, the two independent input states of the gate, encoded in two optical modes, are teleported into a four-mode…

Quantum Physics · Physics 2012-01-30 Ryuji Ukai , Shota Yokoyama , Jun-ichi Yoshikawa , Peter van Loock , Akira Furusawa
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