Programmable N-body interactions with trapped ions
- URL: http://arxiv.org/abs/2207.10550v1
- Date: Thu, 21 Jul 2022 15:49:52 GMT
- Title: Programmable N-body interactions with trapped ions
- Authors: Or Katz, Marko Cetina, Christopher Monroe
- Abstract summary: Trapped atomic ion qubits are a powerful quantum platform for quantum computation and simulation.
We formulate and analyze a mechanism that extends the standard Molmer-Sorensen pairwise entangling gate.
We show that spin-dependent optical forces applied at twice the motional frequency generate a coordinate-transformation of the collective ion motion in phase-space.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Trapped atomic ion qubits or effective spins are a powerful quantum platform
for quantum computation and simulation, featuring densely connected and
efficiently programmable interactions between the spins. While native
interactions between trapped ion spins are typically pairwise, many quantum
algorithms and quantum spin models naturally feature couplings between
triplets, quartets or higher orders of spins. Here we formulate and analyze a
mechanism that extends the standard M\o{}lmer-S\o{}rensen pairwise entangling
gate and generates a controllable and programmable coupling between $N$ spins
of trapped ions. We show that spin-dependent optical forces applied at twice
the motional frequency generate a coordinate-transformation of the collective
ion motion in phase-space, rendering displacement forces that are nonlinear in
the spin operators. We formulate a simple framework that enables a systematic
and faithful construction of high-order spin Hamiltonians and gates, including
the effect of multiple modes of motion, and characterize the performance of
such operations under realistic conditions.
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