Quantum error correction of time-correlated errors
Abbreviated Journal Title
Quantum Inf. Process.
quantum information; error correction; time-correlated; stabilizer code; CODES; Physics, Multidisciplinary; Physics, Mathematical
The complexity of the error correction circuitry forces us to design quantum error correction codes capable of correcting a single error per error correction cycle. Yet, time-correlated error are common for physical implementations of quantum systems; an error corrected during the previous cycle may reoccur later due to physical processes specific for each physical implementation of the qubits. In this paper, we study quantum error correction for a restricted class of time-correlated errors in a spin-boson model. The algorithm we propose allows the correction of two errors per error correction cycle, provided that one of them is time-correlated. The algorithm can be applied to any stabilizer code when the two logical qubits vertical bar 0(L)> and vertical bar 1(L)> are entangled states of 2(n) basis states in H(2)(n).
Quantum Information Processing
"Quantum error correction of time-correlated errors" (2007). Faculty Bibliography 2000s. 7380.