“…Moreover, a large variety of protocols on a series of one-way logic gates have been proposed and implemented, including singlequbit, two-qubit, and multi-qubit logic gates, e.g., the Toffoli gate and the CARRY gate [2,[17][18][19][20][21][22][23][24]. Moreover, there have been a number of experiments generating cluster states, and constructing one-way quantum logic gates, performed in optical systems [12,13,22,[25][26][27][28][29][30][31], trapped ions [32], and nuclear magnetic resonance (NMR) systems [33], and very recently, superconducting circuits [34,35].…”