Baßler, PascalPascalBaßlerZipper, MatthiasMatthiasZipperCedzich, ChristopherChristopherCedzichHeinrich, MarkusMarkusHeinrichHuber, PatrickPatrickHuberJohanning, MichaelMichaelJohanningKliesch, MartinMartinKliesch2022-11-282022-11-282023-04-20Quantum 7: 984 (2023)http://hdl.handle.net/11420/14164We develop a method to synthesize a class of entangling multi-qubit gates for a quantum computing platform with fixed Ising-type interaction with all-to-all connectivity. The only requirement on the flexibility of the interaction is that it can be switched on and off for individual qubits. Our method yields a time-optimal implementation of the multi-qubit gates. We numerically demonstrate that the total multi-qubit gate time scales approximately linear in the number of qubits. Using this gate synthesis as a subroutine, we provide compilation strategies for important use cases: (i) we show that any Clifford circuit on n qubits can be implemented using at most n multi-qubit gates without requiring ancilla qubits, (ii) we decompose the quantum Fourier transform in a similar fashion, (iii) we compile a simulation of molecular dynamics, and (iv) we propose a method for the compilation of diagonal unitaries with time-optimal multi-qubit gates, as a step towards general unitaries. As motivation, we provide a detailed discussion on a microwave controlled ion trap architecture with magnetic gradient induced coupling (MAGIC) for the generation of the Ising-type interactions.en2521-327X2023Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaftenhttps://creativecommons.org/licenses/by/4.0/Quantum PhysicsNatural Sciences and Mathematics::530: PhysicsJournal Articlehttps://doi.org/10.15480/882.1397810.22331/q-2023-04-20-98410.15480/882.139782206.06387v2Journal Article