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Quantum computers will require encoding of quantum information to protect them from noise. Fault-tolerant quantum computing architectures illustrate how this might be done but have not yet shown a conclusive practical advantage. Here we…

量子物理 · 物理学 2019-03-01 Robin Harper , Steven T. Flammia

The path-integral approach to topological quantum error correction provides a unified way to construct and analyze fault-tolerant circuits in spacetime. In this work, we demonstrate its utility and versatility at hand of a simple example:…

量子物理 · 物理学 2025-03-18 Andreas Bauer

Quantum computation holds the promise of solving certain complex problems exponentially faster than classical computers. However, the high prevalent noise in current quantum devices impedes the accurate execution of even basic algorithms.…

量子物理 · 物理学 2026-05-13 Prithviraj Prabhu

The development of a large scale quantum computer is a highly sought after goal of fundamental research and consequently a highly non-trivial problem. Scalability in quantum information processing is not just a problem of qubit…

In this paper we do a detailed numerical investigation of the fault-tolerant threshold for optical cluster-state quantum computation. Our noise model allows both photon loss and depolarizing noise, as a general proxy for all types of local…

量子物理 · 物理学 2009-11-13 Christopher M. Dawson , Henry L. Haselgrove , Michael A. Nielsen

Many current quantum error-correcting codes that achieve full fault tolerance suffer from having low ratios of logical to physical qubits and significant overhead. This makes them difficult to implement on current noisy intermediate-scale…

量子物理 · 物理学 2026-05-22 Christopher Gerhard , Todd A. Brun

We present a fault-tolerant semi-global control strategy for universal quantum computers. We show that N-dimensional array of qubits where only (N-1)-dimensional addressing resolution is available is compatible with fault-tolerant universal…

量子物理 · 物理学 2010-08-11 G. A. Paz-Silva , G. K. Brennen , J. Twamley

The integration of diverse quantum resources and the exploitation of more degrees of freedom provide key operational flexibility for universal fault-tolerant quantum computation. In this work, we propose a flexible…

量子物理 · 物理学 2026-03-20 Peilin Du , Jing Zhang , Tiancai Zhang , Rongguo Yang , Kui Liu , Jiangrui Gao

Quantum error correction and fault-tolerant quantum computation are two fundamental concepts which make quantum computing feasible. While providing a theoretical means with which to ensure the arbitrary accuracy of any quantum circuit,…

量子物理 · 物理学 2007-05-23 A. M. Stephens , S. J. Devitt , A. G. Fowler , J. C. Ang , L. C. L. Hollenberg

Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be…

量子物理 · 物理学 2016-07-13 Ruben S. Andrist , Helmut G. Katzgraber , H. Bombin , M. A. Martin-Delgado

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…

量子物理 · 物理学 2021-09-07 Eesa Nikahd , Morteza Saheb Zamani , Mehdi Sedighi

An arbitrarily reliable quantum computer can be efficiently constructed from noisy components using a recursive simulation procedure, provided that those components fail with probability less than the fault-tolerance threshold. Recent…

量子物理 · 物理学 2013-04-03 K. M. Svore , A. W. Cross , I. L. Chuang , A. V. Aho

The analysis of noisy quantum states prepared on current quantum computers is getting beyond the capabilities of classical computing. Quantum neural networks based on parametrized quantum circuits, measurements and feed-forward can process…

量子物理 · 物理学 2024-09-19 Petr Zapletal , Nathan A. McMahon , Michael J. Hartmann

We introduce a fault-tolerant construction to implement a composite quantum operation of four overlapping Toffoli gates. The same construction can produce two independent Toffoli gates. This result lowers resource overheads in designs for…

量子物理 · 物理学 2013-08-06 Cody Jones

We present a comprehensive architectural analysis for a proposed fault-tolerant quantum computer based on cat codes concatenated with outer quantum error-correcting codes. For the physical hardware, we propose a system of acoustic…

A quantum computer -- i.e., a computer capable of manipulating data in quantum superposition -- would find applications including factoring, quantum simulation and tests of basic quantum theory. Since quantum superpositions are fragile, the…

量子物理 · 物理学 2007-05-23 Ben W. Reichardt

We show how to realize a general quantum circuit involving gates between arbitrary pairs of qubits by means of geometrically local quantum operations and efficient classical computation. We prove that circuit-level local stochastic noise…

量子物理 · 物理学 2024-02-22 Shin Ho Choe , Robert Koenig

As far as we know, a useful quantum computer will require fault-tolerant gates, and existing schemes demand a prohibitively large space and time overhead. We argue that a first generation quantum computer will be very valuable to design,…

量子物理 · 物理学 2017-11-15 Pavithran S. Iyer , David Poulin

The standard approach to universal fault-tolerant quantum computing is to develop a general purpose quantum error correction mechanism that can implement a universal set of logical gates fault-tolerantly. Given such a scheme, any quantum…

量子物理 · 物理学 2025-09-17 Zhuangzhuang Chen , Narayanan Rengaswamy

In order to achieve fault-tolerant quantum computation, we need to repeat the following sequence of four steps: First, perform 1 or 2 qubit quantum gates (in parallel if possible). Second, do a syndrome measurement on a subset of the…

量子物理 · 物理学 2024-12-11 Harry Buhrman , Marten Folkertsma , Bruno Loff , Niels M. P. Neumann