Abstract
We study the zero-temperature phase diagram of the Lechner-Hauke-Zoller model. An analytic expression for the free-energy and critical coefficients for finite-size systems and in the thermodynamic limit are derived and numerically verified. With the aim to improve standard quantum annealing, we introduce an inhomogeneously driven transverse field with an additional time-dependent parameter that allows one to evade the first-order quantum phase transition and, thus, improve the efficiency of the ground-state preparation considerably.
Highlights
With the recent experimental progress, intermediate scale quantum computers are available in the laboratory [1,2,3,4,5,6,7,8,9,10,11,12,13,14]
From the viewpoint of statistical mechanics, solving optimization problems with adiabatic quantum computing can be understood as driving a random transverse Ising model through a zero-temperature quantum phase transition (QPT) in a one-dimensional phase diagram
One can see that inhomogeneous driving of the transverse field can enhance the performance of traditional quantum annealing considerably
Summary
With the recent experimental progress, intermediate scale quantum computers are available in the laboratory [1,2,3,4,5,6,7,8,9,10,11,12,13,14] These experiments are not yet ready for scalable quantum computing with error correction, these highly developed platforms are suitable for generation quantum simulations with full control over the individual degrees of freedom. From the viewpoint of statistical mechanics, solving optimization problems with adiabatic quantum computing can be understood as driving a random transverse Ising model through a zero-temperature quantum phase transition (QPT) in a one-dimensional phase diagram. We numerically demonstrate the implementation of the inhomogeneously driven transverse fields in LHZ and find an enhanced final groundstate fidelity and an enlarged minimal energy gap compared to standard quantum annealing
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