Probing resonating valence bonds on a programmable germanium quantum simulator

Abstract

Simulations using highly tunable quantum systems may enable investigations of condensed matter systems beyond the capabilities of classical computers. Quantum dots and donors in semiconductor technology define a natural approach to implement quantum simulation. Several material platforms have been used to study interacting charge states, while gallium arsenide has also been used to investigate spin evolution. However, decoherence remains a key challenge in simulating coherent quantum dynamics. Here, we introduce quantum simulation using hole spins in germanium quantum dots. We demonstrate extensive and coherent control enabling the tuning of multi-spin states in isolated, paired, and fully coupled quantum dots. We then focus on the simulation of resonating valence bonds and measure the evolution between singlet product states which remains coherent over many periods. Finally, we realize four-spin states with $s$-wave and $d$-wave symmetry. These results provide means to perform non-trivial and coherent simulations of correlated electron systems.

arXiv commentArticle main text and Supplementary Information Main text: 9 pages, 5 figures Supplementary Information: 15 pages, 9 figures

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Cited by in corpus (20)

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• Geometry of the dephasing sweet spots of spin-orbit qubits
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• Highly tunable 2D silicon quantum dot array with coupling beyond nearest neighbors
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• Sweet-spot protection of hole spins in sparse arrays via spin-dependent magnetotunneling