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The immense scalability of continuous-variable cluster states motivates their study as a platform for quantum computing, with fault tolerance possible given sufficient squeezing and appropriately encoded qubits [Menicucci, PRL 112, 120504…

Quantum Physics · Physics 2019-07-31 Blayney W. Walshe , Lucas J. Mensen , Ben Q. Baragiola , Nicolas C. Menicucci

With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge…

Quantum Physics · Physics 2021-12-09 Kianna Wan , Soonwon Choi , Isaac H. Kim , Noah Shutty , Patrick Hayden

Measurement based quantum computation (MBQC), which requires only single particle measurements on a universal resource state to achieve the full power of quantum computing, has been recognized as one of the most promising models for the…

Quantum Physics · Physics 2010-09-03 Xie Chen , Runyao Duan , Zhengfeng Ji , Bei Zeng

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)…

Measurement-based quantum computation (MBQC) is a model of quantum computation, in which computation proceeds via adaptive single qubit measurements on a multi-qubit quantum state. It is computationally equivalent to the circuit model.…

We propose a measurement-based model for fault-tolerant quantum computation that can be realised with one-dimensional cluster states and fusion measurements only; basic resources that are readily available with scalable photonic hardware.…

Quantum Physics · Physics 2023-10-16 Stefano Paesani , Benjamin J. Brown

Measurement-based quantum computing (MBQC) is a promising approach to reducing circuit depth in noisy intermediate-scale quantum algorithms such as the Variational Quantum Eigensolver (VQE). Unlike gate-based computing, MBQC employs local…

Quantum Physics · Physics 2023-12-21 Anna Schroeder , Matthias Heller , Mariami Gachechiladze

We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster. We…

Quantum Physics · Physics 2007-07-24 Robert Raussendorf , Jim Harrington , Kovid Goyal

Recent advances in quantum error-correction (QEC) have shown that it is often beneficial to understand fault-tolerance as a dynamical process, a circuit with redundant measurements that help correct errors, rather than as a static code…

Quantum Physics · Physics 2025-09-30 Arthur Pesah , Austin K. Daniel , Ilan Tzitrin , Michael Vasmer

Fault-tolerant measurement-based quantum computation (MBQC) with recent progress on quantum technologies leads to a promising scalable platform for realizing quantum computation, conducted by preparing a large-scale graph state over many…

Quantum Physics · Physics 2022-01-28 Hayata Yamasaki , Sathyawageeswar Subramanian

We present a detailed description of an architecture for fault-tolerant quantum computation, which is based on the cluster model of encoded qubits. In this cluster-based architecture, concatenated computation is implemented in a quite…

Quantum Physics · Physics 2010-12-30 Keisuke Fujii , Katsuji Yamamoto

Measurement-based quantum computing is a promising paradigm of quantum computation, where universal computing is achieved through a sequence of local measurements. The backbone of this approach is the preparation of multipartite…

Quantum Physics · Physics 2025-05-08 Chan Roh , Geunhee Gwak , Young-Do Yoon , Young-Sik Ra

We investigate a scheme of fault-tolerant quantum computation based on the cluster model. Logical qubits are encoded by a suitable code such as the Steane's 7-qubit code. Cluster states of logical qubits are prepared by post-selection…

Quantum Physics · Physics 2007-05-23 Keisuke Fujii , Katsuji Yamamoto

Measurement-based quantum computation (MQC) is a paradigm for studying quantum computation using many-body entanglement and single-qubit measurements. While MQC has inspired wide-ranging discoveries throughout quantum information, our…

Quantum Physics · Physics 2016-11-28 Jacob Miller , Akimasa Miyake

Fault-tolerant cluster states form the basis for scalable measurement-based quantum computation. Recently, new stabilizer codes for scalable circuit-based quantum computation have been introduced that have very high thresholds under biased…

Quantum Physics · Physics 2023-02-01 Jahan Claes , J. Eli Bourassa , Shruti Puri

Due to its unique scalability potential, continuous variable quantum optics is a promising platform for large scale quantum computing. In particular, very large cluster states with a two-dimensional topology that are suitable for universal…

Quantum Physics · Physics 2020-10-21 Mikkel V. Larsen , Jonas S. Neergaard-Nielsen , Ulrik L. Andersen

We describe a fault-tolerant one-way quantum computer on cluster states in three dimensions. The presented scheme uses methods of topological error correction resulting from a link between cluster states and surface codes. The error…

Quantum Physics · Physics 2007-07-24 R. Raussendorf , J. Harrington , K. Goyal

Quantum machine learning (QML) leverages quantum computing for classical inference, furnishes the processing of quantum data with machine-learning methods, and provides quantum algorithms adapted to noisy devices. Typically, QML proposals…

Quantum Physics · Physics 2026-05-11 Luis Mantilla Calderón , Robert Raussendorf , Polina Feldmann , Dmytro Bondarenko

Fault tolerant quantum computation over distributed quantum computing (DQC) platforms requires careful evaluation of resource requirements and noise thresholds. As quantum hardware advances toward modular and networked architectures,…

Quantum Physics · Physics 2026-05-26 Nitish Kumar Chandra , Eneet Kaur , Kaushik P. Seshadreesan

Continuous-variable (CV) cluster states offer a promising platform for large-scale measurement-based quantum computations (MBQC). However, finite squeezing inevitably introduces Gaussian noise during MBQC. While fault-tolerant MBQC schemes…

Quantum Physics · Physics 2026-04-10 Byeongseon Go , Hyunseok Jeong , Changhun Oh