Abstract
We present a quantum algorithm that allows one to simulate chaos-assisted tunneling in deep semiclassical regime on existing quantum computers. This opens additional possibilities for investigation of macroscopic quantum tunneling and realization of semiclassical Schr\"odinger cat oscillations [E. Schr\"odinger, Naturwissenschaften 32, 807 (1935)]. Our numerical studies determine the decoherence rate induced by noisy gates for these oscillations and propose a suitable parameter regime for their experimental implementation.
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