Realization of the quantum Toffoli gate with trapped ions
T. Monz, K. Kim, W. H\"ansel, M. Riebe, A. Villar, P. Schindler, M., Chwalla, M. Hennrich, and R. Blatt

TL;DR
This paper reports the first experimental realization of a quantum Toffoli gate using trapped ions, demonstrating a more efficient three-qubit operation that could enhance quantum computation performance.
Contribution
The paper introduces a novel implementation of the quantum Toffoli gate in an ion trap system, directly encoding logic in ion motion for improved efficiency.
Findings
First experimental realization of quantum Toffoli gate in ion traps
Efficient implementation by encoding logic in ion motion
Potential for faster, higher-fidelity quantum operations
Abstract
Algorithms for quantum information processing are usually decomposed into sequences of quantum gate operations, most often realized with single- and two- qubit gates[1]. While such operations constitute a universal set for quantum computation, gates acting on more than two qubits can simplify the implementation of complex quantum algorithms[2]. Thus, a single three-qubit operation can replace a complex sequence of two-qubit gates, which in turn promises faster execution with potentially higher Fidelity. One important three-qubit operation is the quantum Toffoli gate which performs a NOT operation on a target qubit depending on the state of two control qubits. Here we present the first experimental realization of the quantum Toffoli gate in an ion trap quantum computer. Our implementation is particular effcient as we directly encode the relevant logic information in the motion of the ion…
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