Demonstration of three- and four-body interactions between trapped-ion spins

Abstract

Quantum processors use the native interactions between effective spins to simulate Hamiltonians or execute quantum gates. In most processors, the native interactions are pairwise, limiting the efficiency of controlling entanglement between many qubits. Here we experimentally demonstrate a new class of native interactions between trapped-ion qubits, extending conventional pairwise interactions to higher order. We realize three- and four-body spin interactions as examples, showing that high-order spin polynomials may serve as a new toolbox for quantum information applications.

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• Lattice Hamiltonians and Stray Interactions Within Quantum Processors
• Exploring Many-body Interactions Through Quantum Fisher Information
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• Lattice-enabled detection of spin-dependent three-body interactions
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• Co-Designing Spectral Transformation Oracles with Hybrid Oscillator-Qubit Quantum Processors: From Algorithms to Compilation
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• Optimal Displacement Sensing with Spin-Dependent Squeezed States