The two-qubit amplitude damping channel: Characterization using quantum stabilizer codes

Abstract

A protocol based on quantum error correction based characterization of quantum dynamics (QECCD) is developed for quantum process tomography on a two-qubit system interacting dissipatively with a vacuum bath. The method uses a 5-qubit quantum error correcting code that corrects arbitrary errors on the first two qubits, and also saturates the quantum Hamming bound. The dissipative interaction with a vacuum bath allows for both correlated and independent noise on the two-qubit system. We study the dependence of the degree of the correlation of the noise on evolution time and inter-qubit separation.

Highly photon loss tolerant quantum computing using hybrid qubits

“…7(a) we have a ≈ 1.2 × 10 −3 , b ≈ 2 × 10 −4 and d b = 9 and using these values in Eq. (11), we find that d ≈ 15 (39) is needed to achieve p L ∼ 10 −6 (10 −15 ). This incurs N 2 ≈ 1.1 × 10 6 (1.8 × 10 7 ) hybrid qubits.…”

“…Moreover, QEC has also been employed in quantum metrology [4,5] and communication [6][7][8]. References [9][10][11] showed that QEC codes can also be used for efficiently characterizing a quantum dynamical maps that could be either completely positive or not [12,13].…”

Resource-efficient and fault-tolerant topological quantum computation with hybrid entanglement of light

“…One can also consider different single-qubit noise models [36] and study the performance of the HTQC. As a sideline task, in-situ noise characterization using the available syndrome data [37][38][39][40] is feasible. The procedure proposed here to build complex hybrid cluster states can also be used to build lattices of other geometries for QC [18,41,42] and in other quantum information endeavors like communication [43].…”