Quantum compiler and pulse generation scheme

The quantum compiler is responsible for converting a quantum algorithm represented as a string of gates operated on multiple qubits to a sequence of amplitude and phase modulated waveforms played on an arbitrary waveform generator. Spin qubits

                             (1)x(1);(2)x(2);

Gate species and phase/amplitude relations

Calibration parameters and protocols

Channel groupings

Phase increments and command table formulation

Worked example: controlled-Z gate calibration scheme

To convey a comprehensive understanding of the quantum compiler's inner-workings, let's attempt to generate the pulse sequences for the following quantum algorithm on a three-qubit array:

This algorithm has three qubits denoted by $Q_1, Q_2, Q_3$. The $\textbf{X}$ gates denote $\pi$ rotations about the $x$-axis, the $\sqrt{\textbf{X}}$ gates denote $\frac{\pi}{2}$ rotations about the $x$-axis, and the $\textbf{Z}(\theta)$ gates are $\theta$ rotations about the $z$-axis (will take $\theta = \frac{\pi}{2}$ here). Pairs of connected filled circles represent controlled-Z (CZ) gates, which are implemented between qubits $Q_1-Q_2$ and $Q_2-Q_3$ via barrier gates $P_{12} (\tau)$ and $P_{23} (\tau)$. This algorithm lays out a typical experiment for CZ-gate calibration, where parameters $P_{12} (\tau)$ and $P_{23} (\tau)$ are swept over.

Silospin would read in this algorithm in the form of a CSV file containing the following gate strings (all one line in the file). Let's store this in cz_calibration.csv . Refer to the earlier section for definitions of each gate in this convention.

(1)xx(1)(2)xx(2)(3)xx(3);(7)p(7)(8)p(8);(1)x(1)(2)x(2)(3)x(3);
(1)z90z(1)(2)z90z(2)(3)z90z(3);(1)x(1)(2)x(2)(3)x(3);

The