Modular Quantum Computation in a Trapped Ion System

Abstract

Modern computation relies crucially on modular architectures, breaking a complex algorithm into self-contained subroutines. A client can then call upon a remote server to implement parts of the computation independently via an application programming interface (API). Present APIs relay only classical information. Here we implement a quantum API that enables a client to estimate the absolute value of the trace of a server-provided unitary $U$. We demonstrate that the algorithm functions correctly irrespective of what unitary $U$ the server implements or how the server specifically realizes $U$. Our experiment involves pioneering techniques to coherently swap qubits encoded within the motional states of a trapped \Yb ion, controlled on its hyperfine state. This constitutes the first demonstration of modular computation in the quantum regime, providing a step towards scalable, parallelization of quantum computation.

6 pages, 4 figures (7 pages, 4 figures, and 6 tables for supplementary information)

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Cited by in corpus (9)

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• Encoding qubits in multimode grid states
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• Quantum Switches for Gottesman-Kitaev-Preskill Qubit-based All-Photonic Quantum Networks
• Ancilla-Error-Transparent Controlled Beam Splitter Gate
• DQC1 as an Open Quantum System
• Dephasing effects on quantum correlations and teleportation in presence of state dependent bath
• Swap-test interferometry with biased ancilla noise
• Phonon Number Measurement Using Optimal Composite Pulses