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Classic and Quantum Error Correcting Codes
2008Algebraic methods play an important role in coding theory. For instance, there are many connections between codes and groups. In this paper we will present two results that show different applications of algebraic methods in coding theory. One of them refers to the classical context and another one to the quantum error correcting theory.
Santos González +2 more
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Quantum Error Correcting Codes
2020In this chapter we introduce the concept of quantum error-correcting codes and show several examples chronologically. This chapter is fundamental for the development of this work, since the main aim of this book is to present several types of different constructions of quantum block and convolutional codes, as well as constructions of asymmetric ...
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Comment on “Quantum convolutional error-correcting codes”
Physical Review A, 2005In this Comment we present a counterexample to theorems 2 and 3 from Chau [Phys. Rev. A 58, 905 (1998)] regarding quantum convolutional codes.
De Almeida, ACA, Palazzo, R, Chau, HF
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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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Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits.
National Science Review, 2022Yulin Wu, Xiaobo Zhu, He Lu
exaly
Quantum error correction codes.
2015Quantum parallel processing techniques are capable of solving certain complex problems at a substantially lower complexity than their classical counterparts. From the perspective of telecommunications, this quantum-domain parallel processing provides a plausible solution for achieving full-search based multi-stream detection, which is vital for future ...
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Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
Quantum Information Processing, 2019Diego Ruano +2 more
exaly
Cyclic quantum error–correcting codes and quantum shift registers
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2000Markus Grassl, Thomas Beth
exaly