Carlos Galindo

collaborators

6 papers

quant-ph2026

Entanglement assisted quantum $(r, δ)$ -locally recoverable codes

Carlos Galindo, Fernando Hernando, Helena Mart\'ın-Cruz +2

Quantum $(r, δ)$ -locally recoverable codes are quantum error-correcting codes capable of correcting $δ - 1$ qudit erasures within one subset of qudits of cardinality at most $r + δ - 1$ .…

cs.IT2026

Impure codes exceeding the pure bounds for quantum local recovery

Carlos Galindo, Fernando Hernando, Helena MartÃn-Cruz +1

Existing literature provides several bounds for quantum local recovery, which essentially consider the number of message qudits, the distance, the length, and the locality of the i…

cs.IT2026

Quantum $(r, I^´)$ -Locally Recoverable BCH and Homothetic-BCH Codes

Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto

Quantum $(r, I^´)$ -locally recoverable codes ( $(r, I^´)$ -LRCs) are the quantum version of classical $(r, I^´)$ -LRCs designed to recover multiple failures in large-scale distributed and c…

cs.IT2025

Quantum $(r, I^´)$ -locally recoverable codes

Carlos Galindo, Fernando Hernando, Helena MartÃn-Cruz +1

Classical $(r, I^´)$ -locally recoverable codes are designed for avoiding loss of information in large scale distributed and cloud storage systems. We introduce the quantum counterpar…

cs.IT2025

Optimal quantum locally recoverable codes from matrix-product construction

Carlos Galindo, Fernando Hernando, Carlos Munuera +1

Locally recoverable codes (LRCs) are classical error-correcting codes widely used in large scale distributed and cloud storage systems. Quantum locally recoverable codes (quantum L…

cs.IT2025

New quantum codes from homothetic-BCH codes

Carlos Galindo, Fernando Hernando, Helena MartÃn-Cruz

We introduce homothetic-BCH codes. These are a family of $q^{2}$ -ary classical codes $C$ of length $I^» n_{1}$ , where $I^»$ and $n_{1}$ are suitable positive integers such that th…

Entanglement assisted quantum (r,δ)-locally recoverable codes

Impure codes exceeding the pure bounds for quantum local recovery

Quantum (r,I^´)-Locally Recoverable BCH and Homothetic-BCH Codes

Quantum (r,I^´)-locally recoverable codes

Optimal quantum locally recoverable codes from matrix-product construction

New quantum codes from homothetic-BCH codes

Entanglement assisted quantum $(r, δ)$ -locally recoverable codes

Quantum $(r, I^´)$ -Locally Recoverable BCH and Homothetic-BCH Codes

Quantum $(r, I^´)$ -locally recoverable codes