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Quantum error correction is a crucial technology for fault tolerant quantum computing. On superconducting platforms, hardware defects in large scale quantum processors can disrupt the regular lattice structure of topological codes and…

Quantum Physics · Physics 2026-04-08 Tian-Hao Wei , Jia-Xuan Zhang , Jia-Ning Li , Wei-Cheng Kong , Yu-Chun Wu , Guo-Ping Guo

Quantum error correction (QEC) is required for large-scale computation, but incurs a significant resource overhead. Recent advances have shown that by jointly decoding logical qubits in algorithms composed of transversal gates, the number…

Any physical quantum device for quantum information processing is subject to errors in implementation. In order to be reliable and efficient, quantum computers will need error correcting or error avoiding methods. Fault-tolerance achieved…

Quantum Physics · Physics 2015-03-19 Alexandre M. Souza , Jingfu Zhang , Colm A. Ryan , Raymond Laflamme

Hamiltonian simulation is one of the most promising candidates for the demonstration of quantum advantage within the next ten years, and several studies have proposed end-to-end resource estimates for executing such algorithms on…

Quantum Physics · Physics 2025-06-11 Tyler LeBlond , Ryan S. Bennink

Fault-tolerant quantum computers are expected to be offered as cloud services due to their significant resource and infrastructure requirements. Quantum multiprogramming, which runs multiple quantum jobs in parallel, is a promising approach…

Quantum Physics · Physics 2025-12-10 Shin Nishio , Ryo Wakizaka , Daisuke Sakuma , Yosuke Ueno , Yasunari Suzuki

Quantum LDPC codes promise significant reductions in physical qubit overhead compared with topological codes. However, many existing constructions for performing logical operations come with distance-dependent temporal overheads. We…

Quantum Physics · Physics 2025-10-07 Nouédyn Baspin , Lucas Berent , Lawrence Z. Cohen

Fluid flow simulations marshal our most powerful computational resources. In many cases, even this is not enough. Quantum computers provide an opportunity to speed up traditional algorithms for flow simulations. We show that lattice-based…

We propose a new structure suitable for quantum computing in a solid state environment: designed defect states in antidot lattices superimposed on a two-dimensional electron gas at a semiconductor heterostructure. State manipulation can be…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Niels Asger Mortensen , Antti-Pekka Jauho

This is a comprehensive review on fault-tolerant topological quantum computation with the surface codes. The basic concepts and useful tools underlying fault-tolerant quantum computation, such as universal quantum computation, stabilizer…

Quantum Physics · Physics 2015-04-08 Keisuke Fujii

Universal fault-tolerant quantum computation will require real-time decoding algorithms capable of quickly extracting logical outcomes from the stream of data generated by noisy quantum hardware. We propose modular decoding, an approach…

Quantum Physics · Physics 2023-03-10 Héctor Bombín , Chris Dawson , Ye-Hua Liu , Naomi Nickerson , Fernando Pastawski , Sam Roberts

Quantum computing holds transformative potential for medical applications, yet efficiently preparing quantum states from complex medical data remains a fundamental challenge. This survey provides a comprehensive examination of current…

Quantum Physics · Physics 2025-08-08 Nikhil Kumar Rajput , Riya Bansal

Magic state distillation is a key component of fault-tolerant quantum computation, as it enables the implementation of non-Clifford gates such as the $T$ gate and the $CCZ$ gate via gate teleportation. However, conventional distillation…

Quantum Physics · Physics 2026-05-22 Tomohiro Itogawa , Yutaka Hirano , Yutaro Akahoshi , Keisuke Fujii

Quantum compilation is the problem of translating an input quantum circuit into the most efficient equivalent of itself, taking into account the characteristics of the device that will execute the computation. Compilation strategies are…

Quantum Physics · Physics 2022-05-24 Davide Ferrari , Michele Amoretti

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,…

Quantum Physics · Physics 2007-05-23 A. M. Stephens , S. J. Devitt , A. G. Fowler , J. C. Ang , L. C. L. Hollenberg

We introduce an adaptable and modular hybrid architecture designed for fault-tolerant quantum computing. It combines quantum emitters and linear-optical entangling gates to leverage the strength of both matter-based and photonic-based…

Due to the high error rate of a qubit, detecting and correcting errors on it is essential for fault-tolerant quantum computing (FTQC). Among several FTQC techniques, lattice surgery (LS) using surface code (SC) is currently promising. To…

While quantum computers are naturally well-suited to implementing linear operations, it is less clear how to implement nonlinear operations on quantum computers. However, nonlinear subroutines may prove key to a range of applications of…

Quantum Physics · Physics 2023-02-16 Zoë Holmes , Nolan Coble , Andrew T. Sornborger , Yiğit Subaşı

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…

Quantum Physics · Physics 2025-09-17 Zhuangzhuang Chen , Narayanan Rengaswamy

We propose a numerical method of estimating various physical quantities in lattice (supersymmetric) quantum mechanics. The method consists only of deterministic processes such as computing a product of transfer matrix, and has no…

High Energy Physics - Lattice · Physics 2018-07-04 Daisuke Kadoh , Katsumasa Nakayama

We propose a quantum algorithm to tackle the quadratic nonlinearity in the Lattice Boltzmann (LB) collision operator. The key idea is to build the quantum gates based on the particle distribution functions (PDF) within the coherence time…

Quantum Physics · Physics 2024-10-30 Dinesh Kumar E , Steven H. Frankel
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