Universal qudit gate synthesis for transmons
- URL: http://arxiv.org/abs/2212.04496v2
- Date: Thu, 31 Aug 2023 08:48:34 GMT
- Title: Universal qudit gate synthesis for transmons
- Authors: Laurin E. Fischer, Alessandro Chiesa, Francesco Tacchino, Daniel J.
Egger, Stefano Carretta, Ivano Tavernelli
- Abstract summary: We design a superconducting qudit-based quantum processor.
We propose a universal gate set featuring a two-qudit cross-resonance entangling gate.
We numerically demonstrate the synthesis of $rm SU(16)$ gates for noisy quantum hardware.
- Score: 44.22241766275732
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Gate-based quantum computers typically encode and process information in
two-dimensional units called qubits. Using $d$-dimensional qudits instead may
offer intrinsic advantages, including more efficient circuit synthesis,
problem-tailored encodings and embedded error correction. In this work, we
design a superconducting qudit-based quantum processor wherein the logical
space of transmon qubits is extended to higher-excited levels. We propose a
universal gate set featuring a two-qudit cross-resonance entangling gate, for
which we predict fidelities beyond $99\%$ in the $d=4$ case of ququarts with
realistic experimental parameters. Furthermore, we present a decomposition
routine that compiles general qudit unitaries into these elementary gates,
requiring fewer entangling gates than qubit alternatives. As proof-of-concept
applications, we numerically demonstrate the synthesis of ${\rm SU}(16)$ gates
for noisy quantum hardware and an embedded error correction sequence that
encodes a qubit memory in a transmon ququart to protect against pure dephasing
noise. We conclude that universal qudit control -- a valuable extension to the
operational toolbox of superconducting quantum information processing -- is
within reach of current transmon-based architectures and has applications to
near-term and long-term hardware.
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