4 citations · 5 across the 6 of their papers we have counts for
5 papers · 1 filter
Impure codes exceeding the pure bounds for quantum local recovery
Carlos Galindo, Fernando Hernando, Helena Martín-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…
Quantum -Locally Recoverable BCH and Homothetic-BCH Codes
Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto
Quantum -locally recoverable codes (-LRCs) are the quantum version of classical -LRCs designed to recover multiple failures in large-scale distributed and clou…
New quantum codes from homothetic-BCH codes
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz
We introduce homothetic-BCH codes. These are a family of -ary classical codes of length , where and are suitable positive integers such that the…
Quantum -locally recoverable codes
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz +1
Classical -locally recoverable codes are designed for avoiding loss of information in large scale distributed and cloud storage systems. We introduce the quantum counterpart…
Optimal pure 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 of localit…