$N$-body interactions between trapped ion qubits via spin-dependent squeezing

• URL: http://arxiv.org/abs/2202.04230v2
• Date: Fri, 5 Aug 2022 17:10:44 GMT
• Title: $N$-body interactions between trapped ion qubits via spin-dependent squeezing
• Authors: Or Katz, Marko Cetina, Christopher Monroe
• Abstract summary: We show that qubit state-dependent squeezing operations and displacement forces on the collective atomic motion can generate full $N$-body interactions. We show how this $N$-body gate operation allows the single-step implementation of a family of $N$-bit gate operations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 M{\o}lmer-S{\o}rensen 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.

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