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Erasure qubits constitute a promising approach for tackling the daunting resources required for fault-tolerant quantum computing. By heralding erasure errors, both the error-correction threshold and the sub-threshold scaling of the logical…

Quantum Physics · Physics 2026-01-16 Shoham Jacoby , Yotam Vaknin , Alex Retzker , Arne L. Grimsmo

Quantum computers have recently made great strides and are on a long-term path towards useful fault-tolerant computation. A dominant overhead in fault-tolerant quantum computation is the production of high-fidelity encoded qubits, called…

To run large-scale algorithms on a quantum computer, error-correcting codes must be able to perform a fundamental set of operations, called logic gates, while isolating the encoded information from…

Magic state distillation is one of the leading candidates for implementing universal fault-tolerant logical gates. However, the distillation circuits themselves are not fault-tolerant, so there is additional cost to first implement encoded…

Quantum Physics · Physics 2019-05-22 Christopher Chamberland , Andrew W. Cross

We propose a novel technique for optimizing a modular fault-tolerant quantum computing architecture, taking into account any desired space-time trade-offs between the number of physical qubits and the fault-tolerant execution time of a…

Magic state distillation (MSD) is the leading approach to generate the non-Clifford resources required for universal fault-tolerant quantum computation. While most analyses assume ideal measurements in the distillation process, this…

Quantum Physics · Physics 2026-01-15 Yunzhe Zheng , Yuanchen Zhao , Dong E. Liu

The overhead cost of performing universal fault-tolerant quantum computation for large scale quantum algorithms is very high. Despite several attempts at alternative schemes, magic state distillation remains one of the most efficient…

Quantum Physics · Physics 2020-10-30 Christopher Chamberland , Kyungjoo Noh

Magic state distillation (MSD) is a quantum algorithm that enables performing logical non-Clifford gates with in principle arbitrarily low noise level. It is herein typically assumed that logical Clifford gates can be executed without…

Quantum Physics · Physics 2025-05-13 Sascha Heußen

A quantum computer can solve hard problems - such as prime factoring, database searching, and quantum simulation - at the cost of needing to protect fragile quantum states from error. Quantum error correction provides this protection, by…

Current experiments are taking the first steps toward noise-resilient logical qubits. Crucially, a quantum computer must not merely store information, but also process it. A fault-tolerant computational procedure ensures that errors do not…

Quantum Physics · Physics 2018-11-13 Earl T. Campbell , Barbara M. Terhal , Christophe Vuillot

Fault-tolerant logic gates will consume a large proportion of the resources of a two-dimensional quantum computing architecture. Here we show how to perform a fault-tolerant non-Clifford gate with the surface code; a quantum…

Quantum Physics · Physics 2021-04-20 Benjamin J. Brown

Fault-tolerant quantum computing requires high-fidelity logical magic states for implementing non-Clifford operations. Magic-state cultivation provides a lower-overhead route to logical magic-state preparation, but its efficiency is limited…

Quantum Physics · Physics 2026-05-29 Dongmin Kim , Jeonggeun Seo , Aniket Patra , Youngsun Han

Preparation of high-fidelity logical magic states has remained as a necessary but daunting step towards building a large-scale fault-tolerant quantum computer. One approach is to fault-tolerantly prepare a magic state in one code and then…

Quantum Physics · Physics 2025-10-16 Lucas Daguerre , Robin Blume-Kohout , Natalie C. Brown , David Hayes , Isaac H. Kim

Quantum error correction is a cornerstone of reliable quantum computing, with surface codes emerging as a prominent method for protecting quantum information. Surface codes are efficient for Clifford gates but require magic state…

Quantum Physics · Physics 2025-03-13 Avimita Chatterjee , Archisman Ghosh , Swaroop Ghosh

We estimate the resources required in the fusion-based quantum computing scheme to simulate electrolyte molecules in Li-ion batteries on a fault-tolerant, photonic quantum computer. We focus on the molecules that can provide practical…

Quantum Physics · Physics 2023-05-09 Isaac H. Kim , Eunseok Lee , Ye-Hua Liu , Sam Pallister , William Pol , Sam Roberts

Magic state distillation is a crucial component in the leading approaches to implementing universal fault tolerant quantum computation, with existing protocols for both qubit and higher dimensional systems. Early work focused on determining…

Quantum Physics · Physics 2016-03-25 Hillary Dawkins , Mark Howard

Quantum algorithms for quantum chemistry map the dynamics of electrons in a molecule to the dynamics of a coupled spin system. To reach chemical accuracy for interesting molecules, a large number of quantum gates must be applied which…

Quantum Physics · Physics 2015-02-02 Colin J. Trout , Kenneth R. Brown

Magic state distillation, which is a probabilistic process used to generate magic states, plays an important role in universal fault-tolerant quantum computers. On the other hand, to solve interesting problems, we need to run complex…

Quantum Physics · Physics 2024-07-11 Yutaka Hirano , Yasunari Suzuki , Keisuke Fujii

Preparing high-fidelity logical magic states is crucial for fault-tolerant quantum computation. Among prior attempts to reduce the substantial cost of magic state preparation, magic state cultivation (MSC), a recently proposed protocol for…

Quantum Physics · Physics 2025-03-25 Zi-Han Chen , Ming-Cheng Chen , Chao-Yang Lu , Jian-Wei Pan

Circuit simulation tools are critical for developing and assessing quantum-error-correcting and fault-tolerant strategies. In this work, we present SOFT, a high-performance SimulatOr for universal Fault-Tolerant quantum circuits.…

Quantum Physics · Physics 2025-12-30 Riling Li , Keli Zheng , Yiming Zhang , Huazhe Lou , Shenggang Ying , Ke Liu , Xiaoming Sun