Highly accurate numerical evaluation of quantum errors in the circuit model

Time-dependent matrix-product-state (TDMPS) method has been known as an economical tool to simulate a rather large quantum circuit; it can usually simulate a quantum circuit with fifty to one hundred qubits without necessarily requiring a massive parallel machine. In my previous works [1,2,3], I showed that multi-precision computation is requisite for a reliable simulation of quantum computing considering the required machine epsilon and the stability of TDMPS.
In this contribution, I report my simulation results on the quantum error propagation and the error threshold in some circuits for practical quantum algorithms. I consider not only single-qubit errors but multi-qubit errors, especially those caused by calibration errors of coupling constants.
[1] Akira SaiToh, Comput. Phys. Comm. 184, 2005-2020 (2013).
[2] Akira SaiToh, J. Phys.: Conf. Ser. 454, 012064 (2013).
[3] Akira SaiToh, in Proceedings of the Summer Workshop on ``Physics, Mathematics, And All That Quantum Jazz'', S. Tanaka et al. eds. (World Scientific, Singapore, 2014), pp.49-67.