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Quantum SWAP gate realized with CZ and iSWAP gates in a superconducting architecture

Christian Križan, Janka Bizn'arov'a, Liangyu Chen, Emil Hogedal, Amr Osman, Christopher W Warren, S. Kosen, Hang-Xi Li, Tahereh Abad, Anuj Aggarwal, Marco Caputo, Jorge Fern'andez-Pend'as, Akshay Gaikwad, Leif Grönberg, Andreas Nylander, R. Rehammar, Marcus Rommel, O. I. Yuzephovich, Anton Frisk Kockum, J. Govenius, G. Tancredi, J. Bylander·December 19, 2024·DOI: 10.1088/1367-2630/adeba7
Physics

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Abstract

It is advantageous for any quantum processor to support different classes of two-qubit quantum logic gates when compiling quantum circuits, a property that is typically not present in existing platforms. In particular, access to a gate set that includes support for the CZ-, iSWAP-, and SWAP-type families of gates renders conversions between these gate families unnecessary during compilation, as any two-qubit Clifford gate can be executed using at most one two-qubit gate from this set, plus additional single-qubit gates. We experimentally demonstrate that a SWAP gate can be decomposed into one iSWAP gate followed by one CZ gate, affirming a more efficient compilation strategy over the conventional approach that relies on three iSWAP or three CZ gates to replace a SWAP gate. Our implementation makes use of a superconducting quantum processor design based on fixed-frequency transmon qubits coupled together by a parametrically modulated tunable transmon coupler, extending this platform’s native gate set so that any two-qubit Clifford unitary matrix can be realized using no more than two two-qubit gates and single-qubit gates.

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