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Injection of transient faults as a way to attack cryptographic implementations has been largely studied in the last decade. Several attacks that use electromagnetic fault injection against hardware or software architectures have already…

Cryptography and Security · Computer Science 2014-02-27 Nicolas Moro , Amine Dehbaoui , Karine Heydemann , Bruno Robisson , Emmanuelle Encrenaz

Leakage is a particularly damaging error that occurs when a qubit state falls out of its two-level computational subspace. Compared to independent depolarizing noise, leaked qubits may produce many more configurations of harmful correlated…

Quantum Physics · Physics 2019-09-04 Natalie C. Brown , Michael Newman , Kenneth R. Brown

Magic state distillation uses special codes to suppress errors in input states, which are often tailored to a Clifford-twirled error model. We present detailed measurement sequences for magic state distillation protocols which can suppress…

Quantum Physics · Physics 2021-01-27 Jeongwan Haah , Matthew B. Hastings

Despite significant overhead reductions since its first proposal, magic state distillation is often considered to be a very costly procedure that dominates the resource cost of fault-tolerant quantum computers. The goal of this work is to…

Quantum Physics · Physics 2019-12-04 Daniel Litinski

Given stabilizer operations and the ability to repeatedly prepare a single-qubit mixed state rho, can we do universal quantum computation? As motivation for this question, "magic state" distillation procedures can reduce the general…

Quantum Physics · Physics 2007-05-23 Ben W. Reichardt

In a recent publication [Y.D. Wang and A.A. Clerk, Phys. Rev. Lett. 108, 153603 (2012)], we demonstrated that one can use interference to significantly increase the fidelity of state transfer between two electromagnetic cavities coupled to…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Ying-Dan Wang , Aashish A. Clerk

Waves scattering from unbounded structures are always complicated problems for numerical simulations. For the case that the non-periodic incident field scattered by (locally perturbed) periodic surfaces, with the help of the Bloch…

Numerical Analysis · Mathematics 2018-01-08 Ruming Zhang

The standard approach to fault-tolerant quantum computation is to store information in a quantum error correction code, such as the surface code, and process information using a strategy that can be summarized as distill-then-synthesize. In…

Quantum Physics · Physics 2026-05-01 Earl T. Campbell , Mark Howard

Quantum error correction represents a significant advancement in large-scale quantum computing. However, achieving fault-tolerant implementations of non-Clifford logical gates with reduced overhead remains a challenge in the popular surface…

Quantum Physics · Physics 2025-07-29 Zhi-Cheng He , Zheng-Yuan Xue

The distillation of magic states is an often-cited technique for enabling universal quantum computing once the error probability for a special subset of gates has been made negligible by other means. We present a routine for magic-state…

Quantum Physics · Physics 2012-04-20 Adam M. Meier , Bryan Eastin , Emanuel Knill

We realize a suite of logical operations on a distance-two logical qubit stabilized using repeated error detection cycles. Logical operations include initialization into arbitrary states, measurement in the cardinal bases of the Bloch…

Recently, cat states have been used to heuristically improve the runtime of a classical simulator of quantum circuits based on the diagrammatic ZX-calculus. Here we investigate the use of cat-state injection within the quantum circuit…

Quantum Physics · Physics 2024-02-20 Filipa C. R. Peres , Rafael Wagner , Ernesto F. Galvão

In this paper, we explore how to constructively manipulate qubits by rotating Bloch spheres. It is revealed that three-rotation and one-rotation Hamiltonian controls can be constructed to steer qubits when two tunable Hamiltonian controls…

Quantum Physics · Physics 2011-06-17 Ming Zhang , Zairong Xi , Jia-Hua Wei

There has been an increasing demand for formal methods in the design process of safety-critical synthetic genetic circuits. Probabilistic model checking techniques have demonstrated significant potential in analyzing the intrinsic…

Emerging Technologies · Computer Science 2019-01-24 Thakur Neupane , Zhen Zhang , Curtis Madsen , Hao Zheng , Chris J. Myers

Magic state distillation (MSD) is an essential element for universal fault-tolerant quantum computing, which distills a high-fidelity magic state from noisy magic states using ideal (error-corrected) Clifford operations. For ideal Clifford…

Quantum Physics · Physics 2025-06-23 Tomohiro Itogawa , Yugo Takada , Yutaka Hirano , Keisuke Fujii

Classical trust region methods were designed to solve problems in which function and gradient information are exact. This paper considers the case when there are bounded errors (or noise) in the above computations and proposes a simple…

Optimization and Control · Mathematics 2022-01-05 Shigeng Sun , Jorge Nocedal

We present an error-controlled mesh refinement procedure for needle insertion simulation and apply it to the simulation of electrode implantation for deep brain stimulation, including brain shift. Our approach enables to control the error…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Huu Phuoc Bui , Satyendra Tomar , Hadrien Courtecuisse , Michel Audette , Stéphane Cotin , Stéphane P. A. Bordas

Magic state distillation and injection is a promising strategy towards universal fault tolerant quantum computation, especially in architectures based on the bosonic Gottesman-Kitaev-Preskill (GKP) codes where non-Clifford gates remain…

Quantum Physics · Physics 2025-07-15 Jérémie Boudreault , Ross Shillito , Jean-Baptiste Bertrand , Baptiste Royer

This work proposes a fault injection methodology where Hardware Description Language (HDL) code slicing is exploited to prune fault injection locations, thus enabling more efficient campaigns for safety mechanisms evaluation. In particular,…

Hardware Architecture · Computer Science 2020-02-04 Ahmet Cagri Bagbaba , Maksim Jenihhin , Jaan Raik , Christian Sauer

Rotation gates are widely used in various quantum algorithms. To implement fault-tolerant rotation gates, state distillation or gate synthesis is typically employed. However, the overhead of these schemes scales rapidly with increasing…