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.

Article 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)

• Recent advances in hole-spin qubits
• Coherent spin qubit shuttling through germanium quantum dots
• Germanium wafers for strained quantum wells with low disorder
• Universal control of four singlet-triplet qubits
• Electrical operation of planar Ge hole spin qubits in an in-plane magnetic field
• Exciton transport in a germanium quantum dot ladder
• Geometry of the dephasing sweet spots of spin-orbit qubits
• Electrical operation of hole spin qubits in planar MOS silicon quantum dots
• Dephasing of planar Ge hole spin qubits due to 1/$\text{f}$ charge noise
• Highly tunable 2D silicon quantum dot array with coupling beyond nearest neighbors
• Protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a quantum-dot loop
• Mitigation of exchange cross-talk in dense quantum dot arrays
• Flux-Tunable Hybridization in a Double Quantum Dot Interferometer
• A diverse set of two-qubit gates for spin qubits in semiconductor quantum dots
• Variability of hole spin qubits in planar Germanium
• Relaxation to persistent currents in a Hubbard trimer coupled to fermionic baths
• Dressed basis sets for the modeling of exchange interactions in double quantum dots
• Simulating electron-vibron energy transfer with quantum dots and resonators
• Negative exchange interaction in Si quantum dot arrays via valley-phase induced ${\mathbb{Z}}_2$ gauge field
• Sweet-spot protection of hole spins in sparse arrays via spin-dependent magnetotunneling