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A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
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Fast, High-Fidelity Addressed Single-Qubit Gates Using Efficient Composite Pulse Sequences.

A D Leu1, M F Gely1, M A Weber1

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Summary
This summary is machine-generated.

We demonstrate high-fidelity, fast single- and multi-qubit gates using microwave control for ^{43}Ca^{+} atomic clock qubits. This method achieves low error rates, showing promise for scalable quantum computing architectures.

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Area of Science:

  • Quantum Computing
  • Atomic Physics
  • Quantum Control

Background:

  • High-fidelity quantum operations are essential for building scalable quantum computers.
  • ^{43}Ca^{+} hyperfine qubits offer potential for atomic clock applications and quantum information processing.
  • Controlling individual qubits in a multi-qubit system presents significant challenges.

Purpose of the Study:

  • To implement high-speed, high-fidelity addressed single- and multi-qubit gates.
  • To benchmark the gate fidelity and error rates for ^{43}Ca^{+} qubits in a surface trap.
  • To investigate the scalability of microwave control for quantum registers.

Main Methods:

  • Utilized electronic microwave control for addressed single-qubit gates.
  • Employed a spatial microwave field gradient for independent control of two qubits in close proximity.
  • Implemented an efficient four-pulse scheme for two-qubit operations.
  • Performed parallel randomized benchmarking to quantify gate errors.

Main Results:

  • Achieved a single-qubit Clifford gate error rate of 1.5×10^{-6} using 600 ns π/2 pulses.
  • Demonstrated independent addressed two-qubit gates with an average error rate of 3.4×10^{-5} per addressed π/2 gate.
  • Showcased the feasibility of controlling qubits with 5 μm separation.

Conclusions:

  • Microwave control provides a fast and high-fidelity method for operating ^{43}Ca^{+} atomic clock qubits.
  • The demonstrated spatial addressing technique is scalable to larger numbers of qubits in a single register.
  • This work contributes to the development of robust quantum computing architectures.