8 papers
Quantum LDPC Codes from Polynomial Minors
Vahid Nourozi, Roxana Smarandache, David G. M. Mitchell
We construct quantum codes from codewords of a cyclic code and the minors of a polynomial matrix. The construction uses a two-row, three-column matrix whose minors yield a second m…
High-Girth QLDPC Codes from Circulant and Affine Permutation Matrices
Vahid Nourozi, Roxana Smarandache, David G. M. Mitchell†
We study two explicit constructions of binary Calderbank--Shor--Steane quantum low-density parity-check (QLDPC) codes with check weight six. The first uses a fixed circulant shift…
Low-Latency Belief-Propagation Decoding of Quantum LDPC Codes with Reinforcement-Learned Scheduling
Mohsen Moradi, Ghilas Aissou, Taejoon Kim +2
Belief propagation (BP) is attractive for quantum low-density parity-check (QLDPC) decoding because of its low complexity and low latency, but short cycles and degeneracy can limit…
Lifted-Product QLDPC Codes in the Polynomial Domain
Vahid Nourozi, Mohsen Moradi, Roxana Smarandache +1
This paper presents a finite-length polynomial-domain formulation of lifted-product quantum low-density parity-check (QLDPC) codes. We formulate the code construction over the quot…
High-Performance Reinforcement-Learned BP Decoding of Quantum LDPC Codes
Mohsen Moradi, Vahid Nourozi, Taejoon Kim +2
Belief-propagation (BP) decoding is attractive for quantum low-density parity-check (QLDPC) codes because it uses local message passing on sparse Tanner graphs. However, convention…
Constructing Quantum Convolutional Codes via Difference Triangle Sets
Vahid Nourozi, David Mitchell
In this paper, we introduce a construction of quantum convolutional codes (QCCs) based on difference triangle sets (DTSs). To construct QCCs, one must determine polynomial stabiliz…
Sequential BP-based Decoding of QLDPC Codes
Mohsen Moradi, Salman Habib, Vahid Nourozi +1
Quantum low-density parity-check (QLDPC) codes are a leading approach to quantum error correction, yet conventional belief propagation (BP) decoders often perform poorly, primarily…
Improved Variational Inference in Discrete VAEs using Error Correcting Codes
María Martínez-García, Grace Villacrés, David Mitchell +1
Despite advances in deep probabilistic models, learning discrete latent representations remains challenging. This work introduces a novel method to improve inference in discrete Va…