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quant-ph2026
Canonical Form and Finite Blocklength Bounds for Stabilizer Codes
Dimiter Ostrev
First, a canonical form for stabilizer parity check matrices of arbitrary size and rank is derived. Next, it is shown that the closely related canonical form of the Clifford group…
quant-ph2024
Quantum LDPC codes from intersecting subsets
Dimiter Ostrev
This paper introduces a construction of quantum CSS codes from a tuple of component CSS codes and two collections of subsets. The resulting codes have parallelizable encoding and s…
quant-ph2024
Classical product code constructions for quantum Calderbank-Shor-Steane codes
Dimiter Ostrev, Davide Orsucci, Francisco Lázaro +1
Several notions of code products are known in quantum error correction, such as hyper-graph products, homological products, lifted products, balanced products, to name a few. In th…