Entanglement assisted binary quantum tensor product codes
Priya J. Nadkarni, Shayan Srinivasa Garani · 2017
We propose the construction and error correction procedures of an entanglement assisted binary quantum tensor product code. We devise an efficient procedure to construct the code with complexity O(max{ρ21, ρ22}) compared to O(ρ21ρ22) using symplectic Gram-Schmidt orthogonalization, where ρ1and ρ2are the number of parity bits of the component codes. Our error correction procedures can correct quantum burst errors without destroying the quantum state.