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We present a quantum circuit synthesis algorithm for implementing universal fault-tolerant quantum computing based on concatenated codes. To realize fault-tolerant quantum computing, the fault-tolerant quantum protocols should be…

Quantum Physics · Physics 2022-06-07 Yongsoo Hwang

A new way of addressing loss errors is introduced which combines ideas from measurement-based quantum computation and concatenated quantum codes, allowing for universal quantum computation. It is shown that for the case where leakage is…

Quantum Physics · Physics 2015-03-20 David A. Herrera-Martí , Terry Rudolph

Scaling up quantum computers to attain substantial speedups over classical computing requires fault tolerance. Conventionally, protocols for fault-tolerant quantum computation demand excessive space overheads by using many physical qubits…

Quantum Physics · Physics 2025-01-29 Hayata Yamasaki , Masato Koashi

We present a linear optics quantum computation scheme that employs a new encoding approach that incrementally adds qubits and is tolerant to photon loss errors. The scheme employs a circuit model but uses techniques from cluster state…

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

A scheme for linear optical implementation of fault-tolerant quantum computation is proposed, which is based on an error-detecting code. Each computational step is mediated by transfer of quantum information into an ancilla system embedding…

Quantum Physics · Physics 2007-10-07 Jaeyoon Cho

As there is no quantum error correction code with universal set of transversal gates, several approaches have been proposed which, in combination of transversal gates, make universal fault-tolerant quantum computation possible. Magic state…

Quantum Physics · Physics 2021-09-07 Eesa Nikahd , Morteza Saheb Zamani , Mehdi Sedighi

Non-destructive heralded entanglement with photons is a valuable resource for quantum information processing. However, they generally entail ancillary particles and modes that amplify the circuit intricacy. To address this challenge, a…

Quantum Physics · Physics 2024-12-25 Seungbeom Chin , Marcin Karczewski , Yong-Su Kim

Graph states are the key resources for measurement- and fusion-based quantum computing with photons, yet their creation is experimentally challenging. We optimize a hybrid graph-state generation scheme using a single quantum emitter and…

Photonic quantum computing provides a promising route toward quantum computation by naturally supporting the measurement-based quantum computation (MBQC) model. In MBQC, programs are executed through measurements on a pre-generated graph…

Quantum Physics · Physics 2026-04-24 Xiangyu Ren , Yuexun Huang , Zhemin Zhang , Yuchen Zhu , Tsung-Yi Ho , Antonio Barbalace , Zhiding Liang

As there is no quantum error correction code with universal set of transversal gates, several approaches have been proposed which, in combination of transversal gates, make universal fault-tolerant quantum computation possible. Magic state…

Quantum Physics · Physics 2017-05-16 Eesa Nikahd , Morteza Saheb Zamani , Mehdi Sedighi

Entanglement has evolved from an enigmatic concept of quantum physics to a key ingredient of quantum technology. It explains correlations between measurement outcomes that contradict classical physics, and has been widely explored with…

Quantum Physics · Physics 2024-06-05 Philip Thomas , Leonardo Ruscio , Olivier Morin , Gerhard Rempe

Distributed quantum information processing is based on the transmission of quantum data over lossy channels between quantum processing nodes. These nodes may be separated by a few microns or on planetary scale distances, but transmission…

Quantum Physics · Physics 2020-11-05 Nicolo Lo Piparo , Michael Hanks , Claude Gravel , Kae Nemoto , WIlliam J. Munro

Photonics is the platform of choice to build a modular, easy-to-network quantum computer operating at room temperature. However, no concrete architecture has been presented so far that exploits both the advantages of qubits encoded into…

We propose a novel architecture for fault-tolerant quantum computing that incorporates strong single-photon nonlinearities into a photonic GHZ-measurement-based architecture. The nonlinearities substantially reduce resource overheads…

Quantum Physics · Physics 2025-10-09 Maike Ostmann , Joshua Nunn , Alex E. Jones

Highly-entangled multi-photon graph states are a crucial resource in photonic quantum computation and communication. Yet, the lack of photon-photon interactions makes the construction of such graph states especially challenging. Typically,…

Quantum Physics · Physics 2025-03-14 Ziv Aqua , Barak Dayan

Multi-photon entangled graph states are a fundamental resource in quantum communication networks, distributed quantum computing, and sensing. These states can in principle be created deterministically from quantum emitters such as optically…

Quantum Physics · Physics 2022-08-23 Bikun Li , Sophia E. Economou , Edwin Barnes

Photonic quantum computing is one of the leading approaches to universal quantum computation. However, large-scale implementation of photonic quantum computing has been hindered by its intrinsic difficulties, such as probabilistic…

Quantum Physics · Physics 2019-06-17 Shuntaro Takeda , Akira Furusawa

The promise of universal quantum computing requires scalable single- and inter-qubit control interactions. Currently, three of the leading candidate platforms for quantum computing are based on superconducting circuits, trapped ions, and…

Quantum Physics · Physics 2023-05-02 Eun Oh , Xuanying Lai , Jianming Wen , Shengwang Du

We propose a method for universal fault-tolerant quantum computation using concatenated quantum error correcting codes. Namely, other than computational basis state preparation as required by the DiVincenzo criteria [1], our scheme requires…

Quantum Physics · Physics 2014-04-02 Tomas Jochym-O'Connor , Raymond Laflamme

General purpose quantum computers can, in principle, entangle a number of noisy physical qubits to realise composite qubits protected against errors. Architectures for measurement-based quantum computing intrinsically support…