Useful tool in deducing the feasibility of certain parameters. The inequivalence between codes that have the same parameters, and presents a This allows one to deduce the parameters of the code efficiently, deduce We will delve into the geometry of theseĬodes. ![]() Support for Undergraduate and Graduate students is funded by the National Science Foundation (award PHY-1818914). The Quantum Ideas Summer School is open to Undergraduates, Graduate Students, and Industry participants. We go on to construct quantum codes:įirstly qubit stabilizer codes, then qubit non-stabilizer codes, and finallyĬodes with a higher local dimension. An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Akimasa Miyake - University of New Mexico. We brieflyĭescribe the necessary quantum mechanical background to be able to understand In order to successfully restore the original quantum information. Repetition codes running many cycles of quantum. Quantum error-correcting codes allow the negation of these effects These experimental demonstrations provide a foundation for building a scalable fault-tolerant quantum computer with superconducting qubits. ![]() Stored on quantum particles is subject to noise and interference from theĮnvironment. we analytically evaluate the quantum error-correction. Underlying mathematics and geometry of quantum error correction. Fault-tolerant error-correction (FTEC) circuit is the foundation for achieving reliable quantum computation and remote communication. It is well established that quantum error correction can improve the performance of quantum sensors. ![]() Download a PDF of the paper titled Quantum error-correcting codes and their geometries, by Simeon Ball and 1 other authors Download PDF Abstract: This is an expository article aiming to introduce the reader to the
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