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Quantum Error-Correcting Codes
2019Any quantum system inevitably interacts with the environment which causes decoherence. While the environment is generally inaccessible, can we protect our system against noise to maintain its quantum coherence? One technique developed in quantum information science, called the quantum error-correcting codes, does the job.
Bei Zeng +3 more
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Quantum Error-Correcting Codes
2001So far we have been dealing with a highly idealized situation in which physical states have been assumed to be stable and independent of time and in which unitary transformations on these states can be effected in a reliable fashion. The real situation is considerably more complicated and requires a model for the dynamics of a quantum system.
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Exact Decoding of Quantum Error-Correcting Codes
Physical Review LettersWe study the exact maximum-likelihood decoding of quantum error-correcting codes. Our primary focus is on the repetition code under circuit-level noise, which serves as a fundamental basis for quantum error correction experiments and is the only code that has achieved large distances and extremely low error rates.
Hanyan Cao +10 more
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Quantum Steering of Surface Error Correcting Codes
2023 IEEE International Conference on Quantum Computing and Engineering (QCE), 2023Daniel Volya, Prabhat Mishra 0001
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Some New Entanglement-Assisted Quantum Error-Correcting MDS Codes with Length $\frac {q^{2}+1}{13}$
International Journal of Theoretical Physics, 2021Shixin Zhu, Zhonghua Sun, Fulin Li
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Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Quantum Information Processing, 2019Carlos Galindo +2 more
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Constructions of good entanglement-assisted quantum error correcting codes
Designs, Codes, and Cryptography, 2017Kenza Guenda +2 more
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Cyclic quantum error–correcting codes and quantum shift registers
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2000Markus Grassl, Thomas Beth
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