By using state-dependent *squeezing* forces instead of displacements, the workhorse quantum gate between pairs of trapped ions is extended to an N-qubit gate. This is an important shortcut for most quantum circuits such as quantum error-correction encoding and quantum optimization circuits, while also providing direct N-body interactions for quantum simulations of many-body quantum systems.

- “Demonstration of three- and four-body interactions between trapped-ion spins,” Or Katz, Lei Feng, Andrew Risinger, Christopher Monroe, Marko Cetina, arXiv:2209.05691 (2022).
- “Programmable N-body interactions with trapped ions,” O. Katz, M. Cetina, and C. Monroe, arXiv:2207.10550 (2022).
- “N-body interactions between trapped ion qubits via spin-dependent squeezing,” O. Katz, M. Cetina, and C. Monroe, Phys. Rev. Lett. 129, 063603 (2022).