%0 Journal Article %J Physical Review Letters %D 2022 %T N-body interactions between trapped ion qubits via spin-dependent squeezing %A Or Katz %A Marko Cetina %A Christopher Monroe %X

We describe a simple protocol for the single-step generation of N-body entangling interactions between trapped atomic ion qubits. We show that qubit state-dependent squeezing operations and displacement forces on the collective atomic motion can generate full N-body interactions. Similar to the Mølmer-Sørensen two-body Ising interaction at the core of most trapped ion quantum computers and simulators, the proposed operation is relatively insensitive to the state of motion. We show how this N-body gate operation allows the single-step implementation of a family of N-bit gate operations such as the powerful N-Toffoli gate, which flips a single qubit if and only if all other N-1 qubits are in a particular state.

%B Physical Review Letters %V 129 %8 8/5/2022 %G eng %U https://arxiv.org/abs/2202.04230 %R 10.1103/physrevlett.129.063603