We will explain most recent breakthroughs such as the first error-corrected quantum memories and fault-tolerant quantum gates, and discuss current challenges towards developing large-scale error-corrected quantum computers. We will then take you on a tour to the research frontier of real-world quantum computing and error correction based on superconducting and trapped-ion quantum computers. You will then learn and familiarise yourself with some fundamental concepts that allow one to protect quantum computers from noise: here, you will identify errors in a quantum computer yourself, design basic quantum circuits and study how errors propagate through them. In this interactive seminar, we will first provide you with an introduction to quantum computation and its applications. At the same time, existing quantum devices are also notoriously susceptible to noise. The method encodes a logical qubit into superpositions of states within the higher dimensional Hilbert space of the collective spin. We show that the multiplicative domain of a completely positive map yields a new class of quantum error correcting codes. Decoding of topological quantum codes, 2022 Spring Workshop on. Quantum computers hold the promise to speed up the solution of some of the most challenging computational problems, such as simulating the physics of many-body systems or factoring large numbers. Quantum error-correcting codes and fault-tolerant quantum computation, 2020 Summer. Markus Müller (Theoretical Quantum Technology Group, RWTH Aachen and Forschungszentrum Jülich) - `Ĭorrecting Errors in Quantum Computers - from Fundamental Concepts to the Research Frontier Error correction is an essential topic in classical coding theory and is concerned with communication and information storage problems in the presence of noise. Nathan Lacroix (Quantum Devices Lab, ETH Zurich).
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