7 papers
Entanglement assisted quantum -locally recoverable codes
Carlos Galindo, Fernando Hernando, Helena Mart\'ın-Cruz +2
Quantum -locally recoverable codes are quantum error-correcting codes capable of correcting qudit erasures within one subset of qudits of cardinality at most .…
Information locality of a quantum locally recoverable code
Ryutaroh Matsumoto
A classical linear code of length is said to have symbol locality if for any index there exists a repair group with …
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…
Construction of Quantum Rank-Metric Codes Using Hermitian Orthogonality
Ryota Nizuka, Ryutaroh Matsumoto
Stacked quantum memory is an architecture in which multiple layers of qubits are stacked. Quantum rank-metric codes are effective for error correction in stacked quantum memories.…
Reducing measurements in quantum erasure correction by quantum local recovery
Ryutaroh Matsumoto
As measurements are costly and prone to errors on certain quantum computing devices, we should reduce the number of measurements and the number of measured qudits as small as possi…
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 c…