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Fusion-based quantum computation is a promising quantum computing model where small-sized photonic resource states are simultaneously entangled and measured by fusion gates. Such operations can be readily implemented with scalable photonic…

We present a scheme which offers a significant reduction in the resources required to implement linear optics quantum computing. The scheme is a variation of the proposal of Knill, Laflamme, and Milburn, and makes use of an incremental…

Quantum Physics · Physics 2009-11-10 A. J. F. Hayes , A. Gilchrist , C. R. Myers , T. C. Ralph

Quantum computation can be performed by encoding logical qubits into the states of two or more physical qubits, and controlling a single effective exchange interaction and possibly a global magnetic field. This "encoded universality"…

Quantum Physics · Physics 2007-05-23 M. Mohseni , D. A. Lidar

Shor's powerful quantum algorithm for factoring represents a major challenge in quantum computation and its full realization will have a large impact on modern cryptography. Here we implement a compiled version of Shor's algorithm in a…

We introduce a fault-tolerant protocol for code concatenation of a generalized Shor code using a butterfly network architecture with high noise thresholds and low ancilla overhead to allow implementation on current devices. We develop a…

Quantum Physics · Physics 2025-11-03 Grace M. Sommers , Michael Foss-Feig , David Hayes , David A. Huse , Michael J. Gullans

The one-way quantum computing model introduced by Raussendorf and Briegel [Phys. Rev. Lett. 86 (22), 5188-5191 (2001)] shows that it is possible to quantum compute using only a fixed entangled resource known as a cluster state, and adaptive…

Quantum Physics · Physics 2009-11-10 Michael A. Nielsen , Christopher M. Dawson

Coded computing has emerged as a promising framework for tackling significant challenges in large-scale distributed computing, including the presence of slow, faulty, or compromised servers. In this approach, each worker node processes a…

Machine Learning · Computer Science 2026-03-26 Parsa Moradi , Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

We calculate the error threshold for the linear optics quantum computing proposal by Knill, Laflamme and Milburn [Nature 409, pp. 46--52 (2001)] under an error model where photon detectors have efficiency <100% but all other components --…

Quantum Physics · Physics 2023-11-27 Marcus Silva , Martin Roetteler , Christof Zalka

A heavy focus for optical quantum computing is the introduction of error-correction, and the minimisation of resource requirements. We detail a complete encoding and manipulation scheme designed for linear optics quantum computing,…

Quantum Physics · Physics 2009-11-13 A. J. F. Hayes , A. Gilchrist , T. C. Ralph

Color code is a promising topological code for fault-tolerant quantum computing. Insufficient research on the color code has delayed its practical application. In this work, we address several key issues to facilitate practical…

Quantum Physics · Physics 2024-06-04 Jiaxuan Zhang , Yu-Chun Wu , Guo-Ping Guo

We investigate a scheme for topological quantum computing using optical hybrid qubits and make an extensive comparison with previous all-optical schemes. We show that the photon loss threshold reported by Omkar {\it et al}. [Phys. Rev.…

Quantum Physics · Physics 2021-03-17 S. Omkar , Y. S. Teo , Seung-Woo Lee , H. Jeong

Several emerging quantum technologies, including quantum networks, modular and fusion-based quantum computing, rely crucially on the ability to perform photonic Bell state measurements. Therefore, photon losses and the 50\% success…

Quantum Physics · Physics 2021-12-08 Paul Hilaire , Edwin Barnes , Sophia E. Economou , Frédéric Grosshans

As information carriers in quantum computing, photonic qubits have the advantage of undergoing negligible decoherence. However, the absence of any significant photon-photon interaction is problematic for the realization of non-trivial…

Bell state measurements (BSM) play a significant role in quantum information and quantum computing, in particular, in fusion-based quantum computing (FBQC). The FBQC model is a framework for universal quantum computing provided that we are…

Quantum Physics · Physics 2024-09-10 Aleksandr Melkozerov , Ashot Avanesov , Ivan Dyakonov , Stanislav Straupe

Hybridizing different degrees of freedom or physical platforms potentially offers various advantages in building scalable quantum architectures. We here introduce a fault-tolerant hybrid quantum computation by taking the advantages of both…

Quantum Physics · Physics 2025-03-19 Jaehak Lee , Nuri Kang , Seok-Hyung Lee , Hyunseok Jeong , Liang Jiang , Seung-Woo Lee

In order to implement fault-tolerant quantum computation, entanglement generation with low error probability and high success probability is required. We have proposed the use of squeezed coherent light as a probe to generate entanglement…

Quantum Physics · Physics 2016-03-23 Fumiaki Matsuoka , Akihisa Tomita , Atsushi Okamoto

Quantum computing using two optical coherent states as qubit basis states has been suggested as an interesting alternative to single photon optical quantum computing with lower physical resource overheads. These proposals have been…

Quantum Physics · Physics 2009-11-13 A. P. Lund , T. C. Ralph , H. L. Haselgrove

We propose a quantum measurement that probabilistically projects a pair of qudits of dimension $d$ onto a Bell state in a two-qubit subspace. It can be performed using linear-optical circuits with the success probabilities of $1-d^{-1}$…

Quantum Physics · Physics 2025-10-23 Tomohiro Yamazaki , Koji Azuma

Fault-tolerant quantum computing is crucial for realizing large-scale quantum computation, and the interplay between hardware architecture and quantum error-correcting codes is a key consideration. We present a comparative study of two…

In recent years, squeezed cat codes with resilience to specific types of loss have been proposed as a step toward realizing fault-tolerant optical quantum computers. However, error correction for squeezed cat codes requires a strong…

Quantum Physics · Physics 2025-11-20 Shohei Kiryu , Kosuke Fukui , Atsushi Okamoto , Akihisa Tomita