Quantum CISC Compilation by Optimal Control and Scalable Assembly of Complex Instruction Sets beyond Two-Qubit Gates

dc.creatorSchulte-Herbrueggen, T.
dc.creatorSpoerl, A.
dc.creatorGlaser, S. J.
dc.date2007-12-19
dc.date2008-12-22
dc.date.accessioned2026-07-07T12:20:43Z
dc.date.available2026-07-07T12:20:43Z
dc.descriptionWe present a quantum CISC compiler and show how to assemble complex instruction sets in a scalable way. Enlarging the toolbox of universal gates by optimised complex multi-qubit instruction sets thus paves the way to fight decoherence for realistic settings. Compiling a quantum module into the machine code for steering a concrete quantum hardware device lends itself to be tackled by means of optimal quantum control. To this end, there are two opposite approaches: (i) one may use a decomposition into the restricted instruction set (RISC) of universal one- and two-qubit gates, which in turn have prefabricated translations into the machine code or (ii) one may prefer to generate the entire target module directly by a complex instruction set (CISC) of available controls. Here we advocate direct compilation up to the limit of system size a classical high-performance parallel computer cluster can reasonably handle. For going beyond these limits, i.e. for large systems we propose a combined way, namely (iii) to make recursive use of medium-sized building blocks generated by optimal control in the sense of a quantum CISC compiler. The advantage of the method over standard RISC compilations into one- and two-qubit universal gates is explored on the parallel cluster HLRB-II (with a total LINPACK performance of 63.3 TFlops/s) for the quantum Fourier transform, the indirect SWAP gate as well as for multiply-controlled CNOT gates. Implications for upper limits to time complexities are also derived.
dc.descriptionsubstantially enlarged update with new sections; 19 pages, 17 figures; comments welcome
dc.identifierhttps://arxiv.org/abs/0712.3227
dc.identifierhttp://arxiv.org/abs/0712.3227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213143
dc.subjectQuantum Physics
dc.titleQuantum CISC Compilation by Optimal Control and Scalable Assembly of Complex Instruction Sets beyond Two-Qubit Gates
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