Fast high-fidelity entangling gates for spin qubits in Si double quantum dots

Abstract

Implementing high-fidelity two-qubit gates in single-electron spin qubits in silicon double quantum dots is still a major challenge. In this work, we employ analytical methods to design control pulses that generate high-fidelity entangling gates for quantum computers based on this platform. Using realistic parameters and initially assuming a noise-free environment, we present simple control pulses that generate CNOT, CPHASE, and CZ gates with average fidelities greater than 99.99\% and gate times as short as 45 ns. Moreover, using the local invariants of the system's evolution operator, we show that a simple square pulse generates a CNOT gate in less than 27 ns and with a fidelity greater than 99.99\%. Last, we use the same analytical methods to generate two-qubit gates locally equivalent to $\sqrt{\mathrm{CNOT}}$ and $\sqrt{\mathrm{CZ}}$ that are used to implement simple two-piece pulse sequences that produce high-fidelity CNOT and CZ gates in the presence of low-frequency noise.

arXiv comment11 pages, 7 figures. Published version

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• Deterministic Entanglement Distribution on Series-Parallel Quantum Networks
• Robust photon-mediated entangling gates between quantum dot spin qubits
• Single-tone pulse sequences and robust two-tone shaped pulses for three silicon spin qubits with always-on exchange
• Robust implementation of quantum gates despite always-on exchange coupling in silicon double quantum dots
• Resource-efficient simulation of noisy quantum circuits and application to network-enabled QRAM optimization
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• Simulation of a feedback-based algorithm for quantum optimization for a realistic neutral atom system with an optimized small-angle controlled-phase gate
• Minimal evolution times for fast, pulse-based state preparation in silicon spin qubits
• Gate-based protocol simulations for quantum repeaters using quantum-dot molecules in switchable electric fields
• Measuring and correcting nanosecond pulse distortions in quantum-dot spin qubits
• Robust composite two-qubit gates for silicon-based spin qubits