Fig. 1: Digitization and adiabatic energy gap. | Nature Communications

Fig. 1: Digitization and adiabatic energy gap.

From: Digital simulation of zero-temperature spontaneous symmetry breaking in a superconducting lattice processor

Fig. 1

a The procedure to digitize an adiabatic evolution is done through a Riemann-like discretization of the time interval s ∈ [0, 1], where each step in time corresponds to the digital block. The time-continuous adiabatic algorithm implemented through time-dependent fields can be efficiently decomposed in a sequence of pulses through a circuit version of the evolution. After M blocks the output state is expected to be prepared with good fidelity without any computation complexity due to the search for the optimal parameters of the circuit. b The only optimization required to reduce the circuit length is done through the suitable choice of the parameters of the Hamiltonian. The a priori knowledge of the parameters of the Hamiltonian, which leads to a large energy gap, will enhance the digitized algorithm.

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