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arXiv · 2202.04230

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

Or Katz·Marko Cetina·Christopher Monroe
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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 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.

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Or Katz, Marko Cetina, Christopher Monroe. 2022-08-05. $N$-body interactions between trapped ion qubits via spin-dependent squeezing. https://doi.org/10.1103/physrevlett.129.063603

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