Quantum control and process tomography of a semiconductor quantum dot hybrid qubit

Abstract

The similarities between gated quantum dots and the transistors in modern microelectronics - in fabrication methods, physical structure, and voltage scales for manipulation - have led to great interest in the development of quantum bits (qubits) in semiconductor quantum dots. While quantum dot spin qubits have demonstrated long coherence times, their manipulation is often slower than desired for important future applications, such as factoring. Further, scalability and manufacturability are enhanced when qubits are as simple as possible. Previous work has increased the speed of spin qubit rotations by making use of integrated micromagnets, dynamic pumping of nuclear spins, or the addition of a third quantum dot. Here we demonstrate a new qubit that offers both simplicity - it requires no special preparation and lives in a double quantum dot with no added complexity - and is very fast: we demonstrate full control on the Bloch sphere with $\pi$-rotation times less than 100 ps in two orthogonal directions. We report full process tomography, extracting high fidelities equal to or greater than 85% for X-rotations and 94% for Z-rotations. We discuss a path forward to fidelities better than the threshold for quantum error correction.

6 pages, excluding Appendix

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• Manipulation of a single charge in a double quantum dot
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• A coherent beam splitter for electronic spin states
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• The Resonant Exchange Qubit
• A fast "hybrid" silicon double quantum dot qubit
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• Coherent Quantum Oscillations in a Silicon Charge Qubit
• Fast coherent manipulation of three-electron states in a double quantum dot
• Pulse-gated quantum dot hybrid qubit
• Charge Relaxation in a Single Electron Si/SiGe Double Quantum Dot
• Coherent Adiabatic Spin Control in the Presence of Charge Noise Using Tailored Pulses
• Effective Hamiltonian for the hybrid double quantum dot qubit
• High-fidelity gates in quantum dot spin qubits
• Fast tunnel rates in Si/SiGe one-electron single and double quantum dots

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