Many quantum codes can be described in terms of the stabilizer of the codewords. Kitaev, “Quantum computing: algorithms and error correction”, Russian Mathematical Surveys, to appear. The theory of quantum error-correcting codes has some close ties to and some striking differences from the theory of classical error-correcting codes. Sloane, “The Theory of Error-Correcting Codes”, North-Holland, Amsterdam (1977).Ī. Let us make some remarks that will pave the way for a more general class of quantum error correcting codes. Shor, “Fault-tolerant quantum computation”, LANL e-print quantph/9605011, į. Machine Learning Quantum Error Correction Codes: Learning the Toric Code. Sloane, “Quantum error correction and orthogonal geometry”, LANL e-print quant-ph/9605005, QEC is the most crucial part for quantum computing since it ensures the computation to be reliable, oth- erwise the output of a computing device is just crap. If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website. We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
Wootters, “Mixed state entanglement and quantum error-correcting codes”, LANL e-print quantph/9604024, Ī. 1 Minimal version 1.1 Opening The subject of quantum error correction (QEC) has been de- veloped for two decades, just a little bit shorter than quantum computing itself. We are always looking for ways to improve customer experience on. Girvin These lecture notes from the 2019 Les Houches Summer School on Quantum Information Machines are intended to provide an introduction to classical and quantum error correction with bits and qubits, and with continuous variable systems (harmonic oscillators). Zurek, “Perfect quantum error correction code,” LANL e-print quant-ph/9602019,Ĭ. Introduction to Quantum Error Correction and Fault Tolerance Steven M.
Shor, “Good quantum error-correcting codes exist”, LANL e-print quant-ph/9512032, (to appear in Phys. Wootters, “Purification of noisy entanglement and faithful teleportation via noisy channels,” Phys. These codes make it possible to store quantum information so that one. Steane, “Multiple particle interference and quantum error correction”, LANL e-print quant-ph/9601029, (submitted to Proc. (1996) and Shor (1995) gave the first constructions of quantum error-correcting codes. These codes make it possible to store quantum information so that one can reverse the effects of the most likely errors. Shor, “Scheme for reducing decoherence in quantum memory,” Phys. (1996) and Shor (1995) gave the first constructions of quantum error-correcting codes. Shor, “Algorithms for quantum computation: discrete log and factoring”, Proceedings of the 35th Annual Symposium on the Foundations of Computer Science (IEEE Computer Society Press, Los Alamitos, CA, 1994), p.
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