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20122026
most citedOn the Construction of Nonbinary Quantum BCH Codes

60 citations · 149 across the 19 of their papers we have counts for

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8 papers · 1 filter

quant-ph2023

Asymmetric quantum codes on non-orientable surfaces

Waldir S. Soares, Douglas F. Copatti, Giuliano G. La Guardia +1

In this paper, we construct new families of asymmetric quantum surface codes (AQSCs) over non-orientable surfaces of genus by applying tools of hyperbolic geometry. More…

quant-ph2021★ 6 cited

Stabilizer codes for Open Quantum Systems

Francisco Revson F. Pereira, Stefano Mancini, Giuliano G. La Guardia

The Lindblad master equation describes the evolution of a large variety of open quantum systems. An important property of some open quantum systems is the existence of decoherence-…

quant-ph2017★ 35 cited

Quantum codes derived from cyclic codes

Giuliano G. La Guardia

In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In…

quant-ph2016★ 2 cited

Good and asymptotically good quantum codes derived from algebraic geometry codes

Giuliano Gadioli La Guardia, Francisco Revson F. Pereira

In this paper we construct several new families of quantum codes with good and asymptotically good parameters. These new quantum codes are derived from (classical) algebraic geomet…

quant-ph2015

Asymmetric quantum convolutional codes

Giuliano G. La Guardia

In this paper, we construct the first families of asymmetric quantum convolutional codes (AQCC)'s. These new AQCC's are constructed by means of the CSS-type construction applied to…

quant-ph2013

On Negacyclic MDS-Convolutional Codes

Giuliano Gadioli La Guardia

New families of classical and quantum optimal negacyclic convolutional codes are constructed in this paper. This optimality is in the sense that they attain the classical (quantum)…

quant-ph2012★ 60 cited

On the Construction of Nonbinary Quantum BCH Codes

Giuliano G. La Guardia

Four quantum code constructions generating several new families of good nonbinary quantum nonprimitive non-narrow-sense Bose-Chaudhuri-Hocquenghem (BCH) codes are presented in this…

quant-ph2012★ 31 cited

On Classical and Quantum MDS-Convolutional BCH Codes

Giuliano G. La Guardia

Several new families of multi-memory classical convolutional Bose-Chaudhuri-Hocquenghem (BCH) codes as well as families of unit-memory quantum convolutional codes are constructed i…