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The quest of demonstrating beneficial quantum error correction in near-term noisy quantum processors can benefit enormously from a low-resource optimization of fault-tolerant schemes, which are specially designed for a particular platform…

Quantum Physics · Physics 2019-12-11 A. Bermudez , X. Xu , M. Gutiérrez , S. C. Benjamin , M. Müller

We evaluate strategies for reducing the run time of fault-tolerant quantum computations, targeting practical utility in scientific or industrial workflows. Delivering a technology with broad impact requires scaling devices, while also…

The failure susceptibility of the quantum hardware will force quantum computers to execute fault-tolerant quantum circuits. These circuits are based on quantum error correcting codes, and there is increasing evidence that one of the most…

Quantum Physics · Physics 2019-01-31 Alexandru Paler

In this work, we introduce a method to construct fault-tolerant measurement-based quantum computation (MBQC) architectures and numerically estimate their performance over various types of networks. A possible application of such a paradigm…

Quantum Physics · Physics 2025-05-07 Yves van Montfort , Sébastian de Bone , David Elkouss

The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and $H_\infty$ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as…

Quantum Physics · Physics 2016-11-15 Lei Cui , Zhiyuan Dong , Guofeng Zhang , Heung Wing Joseph Lee

Recently, it was realized that use of the properties of quantum mechanics might speed up certain computations dramatically. Interest in quantum computation has since been growing. One of the main difficulties of realizing quantum…

Quantum Physics · Physics 2008-02-03 Peter W. Shor

State of the art quantum computing architectures are founded on the decision to use scalable but faulty quantum hardware in conjunction with an efficient error correcting code capable of tolerating high error rates. The promised effect of…

Quantum Physics · Physics 2021-08-23 Alexandru Paler , Austin G. Fowler , Robert Wille

High fidelity coherent control of quantum systems is critical to building quantum devices and quantum computers. We provide a general optimal control framework for designing control sequences that account for hardware control distortions…

Quantum Physics · Physics 2015-08-26 Ian N. Hincks , Christopher Granade , Troy W. Borneman , D. G. Cory

This work presents a fault-tolerant control scheme for sensory faults in robotic manipulators based on active inference. In the majority of existing schemes, a binary decision of whether a sensor is healthy (functional) or faulty is made…

Robotics · Computer Science 2022-03-30 Mohamed Baioumy , Corrado Pezzato , Carlos Hernandez Corbato , Nick Hawes , Riccardo Ferrari

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices. Topologically-protected quantum computing aims at solving this problem by encoding…

Disordered Systems and Neural Networks · Physics 2013-12-17 Helmut G. Katzgraber , Ruben S. Andrist

We propose a new risk-constrained formulation of the classical Linear Quadratic (LQ) stochastic control problem for general partially-observed systems. Our framework is motivated by the fact that the risk-neutral LQ controllers, although…

Optimization and Control · Mathematics 2021-12-15 Anastasios Tsiamis , Dionysios S. Kalogerias , Alejandro Ribeiro , George J. Pappas

Quantum error correction codes are usually designed to correct errors regardless of their physical origins. In large-scale devices, this is an essential feature. In smaller-scale devices, however, the main error sources are often…

Quantum Physics · Physics 2020-06-05 David Layden , Louisa Ruixue Huang , Paola Cappellaro

Solving quantum molecular systems presents a significant challenge for classical computation. The advent of early fault-tolerant quantum computing (EFTQC) devices offers a promising avenue to address these challenges, leveraging advanced…

Quantum Physics · Physics 2025-11-10 Yukun Zhang , Xiaoming Zhang , Jinzhao Sun , Heng Lin , Yifei Huang , Dingshun Lv , Xiao Yuan

Quantum computing could impact various industries, with the automotive industry with many computational challenges, from optimizing supply chains and manufacturing to vehicle engineering, being particularly promising. This chapter…

Quantum simulators are widely seen as one of the most promising near-term applications of quantum technologies. However, it remains unclear to what extent a noisy device can output reliable results in the presence of unavoidable…

Quantum Physics · Physics 2020-11-17 Pablo M. Poggi , Nathan K. Lysne , Kevin W. Kuper , Ivan H. Deutsch , Poul S. Jessen

We present a scheme of fault-tolerant quantum computation for a local architecture in two spatial dimensions. The error threshold is 0.75% for each source in an error model with preparation, gate, storage and measurement errors.

Quantum Physics · Physics 2007-05-23 Robert Raussendorf , Jim Harrington

Recently developed control methods with strong disturbance rejection capabilities provide a useful option for control design. The key lies in a general concept of disturbance and effective ways to estimate and compensate the disturbance.…

Optimization and Control · Mathematics 2018-01-19 Wuhua Hu , Eduardo F. Camacho , Lihua Xie

We have investigated instability of a superconducting quantum computer by continuously monitoring the qubit output. We found that qubits exhibit a step-like change in the error rates. This change is repeatedly observed, and each step…

Quantum Physics · Physics 2024-03-15 Yuta Hirasaki , Shunsuke Daimon , Toshinari Itoko , Naoki Kanazawa , Eiji Saitoh

In the framework of quantum computational tensor network [D. Gross and J. Eisert, Phys. Rev. Lett. {\bf98}, 220503 (2007)], which is a general framework of measurement-based quantum computation, the resource many-body state is represented…

Quantum Physics · Physics 2012-08-02 Tomoyuki Morimae , Keisuke Fujii

Fault-tolerant (FT) computation by using quantum error correction (QEC) is essential for realizing large-scale quantum algorithms. Devices are expected to have enough qubits to demonstrate aspects of fault tolerance in the near future.…

Quantum Physics · Physics 2020-03-24 Lingling Lao , Carmen G. Almudever