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Entanglement-Assisted Quantum Codes from Cyclic Codes [PDF]
Entropy, 2022 Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer ...
Francisco Revson F. Pereira +1 more
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Bosonic quantum error correction codes in superconducting quantum circuits
Fundamental Research, 2021 Quantum information is vulnerable to environmental noise and experimental imperfections, hindering the reliability of practical quantum information processors.
Weizhou Cai +4 more
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New Class of Quantum Error-Correcting Codes for a Bosonic Mode
Physical Review X, 2016 We construct a new class of quantum error-correcting codes for a bosonic mode, which are advantageous for applications in quantum memories, communication, and scalable computation.
Marios H. Michael +6 more
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Connectivity constrains quantum codes [PDF]
Quantum, 2022 Quantum low-density parity-check (LDPC) codes are an important class of quantum error correcting codes. In such codes, each qubit only affects a constant number of syndrome bits, and each syndrome bit only relies on some constant number of qubits ...
Nouédyn Baspin, Anirudh Krishna
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Some New Quantum BCH Codes over Finite Fields
Entropy, 2021 Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes.
Lijuan Xing, Zhuo Li
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Degeneracy and Its Impact on the Decoding of Sparse Quantum Codes
IEEE Access, 2021 The well-documented capacity-approaching performance of sparse codes in the realm of classical communications has inspired the search for their quantum counterparts.
Patricio Fuentes +3 more
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Fractalizing quantum codes [PDF]
Quantum, 2021 We introduce "fractalization", a procedure by which spin models are extended to higher-dimensional "fractal" spin models. This allows us to interpret type-II fracton phases, fractal symmetry-protected topological phases, and more, in terms of well ...
Trithep Devakul, Dominic J. Williamson
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Universal Framework for Quantum Error-Correcting Codes
Entropy, 2021 We present a universal framework for quantum error-correcting codes, i.e., a framework that applies to the most general quantum error-correcting codes. This framework is based on the group algebra, an algebraic notation associated with nice error bases ...
Zhuo Li, Lijuan Xing
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Quantum Low-Density Parity-Check Codes
PRX Quantum, 2021 Quantum error correction is an indispensable ingredient for scalable quantum computing. In this Perspective we discuss a particular class of quantum codes called “quantum low-density parity-check (LDPC) codes.” The codes we discuss are alternatives to ...
Nikolas P. Breuckmann +1 more
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On a Family of Quantum Synchronizable Codes Based on the
IEEE Access, 2020 In this paper, we propose a family of quantum synchronizable codes from repeated-root cyclic codes and constacyclic codes. This family of quantum synchronizable codes are based on (λ(u + v)|u - v) construction which is constructed from ...
Chao Du +4 more
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