TY - JOUR T1 - N-body interactions between trapped ion qubits via spin-dependent squeezing JF - Physical Review Letters Y1 - 2022 A1 - Or Katz A1 - Marko Cetina A1 - Christopher Monroe AB -

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.

VL - 129 UR - https://arxiv.org/abs/2202.04230 U5 - 10.1103/physrevlett.129.063603 ER -