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Characterization of -Dimensional Toric and Burst-Error-Correcting Quantum Codes from Lattice Codes
Cibele Cristina Trinca, Reginaldo Palazzo, J. Carmelo Interlando +4
Quantum error correction is essential for the development of any scalable quantum computer. In this work we introduce a generalization of a quantum interleaving method for combatin…
On the Construction of New Toric Quantum Codes and Quantum Burst-Error Correcting Codes
Cibele Cristina Trinca, J. Carmelo Interlando, Reginaldo Palazzo +2
A toric quantum error-correcting code construction procedure is presented in this work. A new class of an infinite family of toric quantum codes is provided by constructing a class…
Well-Rounded Lattices via Polynomials
Carina Alves, William Lima da Silva Pinto, Antonio Aparecido de Andrade
Well-rounded lattices have been a topic of recent studies with applications in wiretap channels and in cryptography. A lattice of full rank in Euclidean space is called well-rounde…