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Tutorials

Go beyond the task-focused user guide with complete, executable case studies. Every card and runtime panel is discovered from the Markdown sources in its category folder.

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In Foundations, borrow a qutrit's third level to build and verify a Toffoli gate. The algorithms reuse the same execution model, while the neutral-atom track moves progressively closer to many-body hardware physics.

Foundations

Learn to build, run, and interpret compact quantum experiments, from circuits and measurement to control pulses.

  • Seeded Bell-state measurement frequencies compared with the ideal distribution

    Prepare and measure a Bell state

    Follow a two-qubit Bell state from exact amplitudes to seeded measurement counts and a comparison with the ideal distribution.

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  • Desired-level population and leakage versus amplitude scale, marking the initial pulse at 0.8 and the best tested state-transfer amplitude near one.

    Calibrating a quantum gate

    Build a control pulse, collect amplitude-calibration data, and verify an X rotation on several input states.

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  • One simulated input follows 110, 120, 121, and 111 at the input, controlled level exchange, target flip, and restoration checkpoints; the middle system's level-2 population is zero, one, one, and zero.

    Build a Toffoli gate by borrowing a third level

    Use a qubit–qutrit–qubit register to construct Toffoli with three qubit–qutrit interactions, then verify its relative phases and return from the borrowed level.

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Algorithms

Use parameterized programs, optimizers, sweeps, and estimators to answer chemistry and machine-learning questions.

  • Average-pooled handwritten digit inputs

    Recognize handwritten digits with a quantum neural network

    Train a data-reuploading circuit to distinguish handwritten 3s and 6s while evaluating a whole parameter batch with one sweep.

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  • One QAOA layer drawn as a circuit on nine qubits

    Solve a QUBO with QAOA

    Map a constrained combinatorial problem to a QUBO, turn it into an Ising Hamiltonian and a FatQat program, and read the answer back out of the measured distribution.

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  • Parameterized two-qubit VQE ansatz

    Find the ground-state energy of H₂ with VQE

    Run exact, finite-shot, and noisy VQE loops for molecular hydrogen and make the variational bound and sampling uncertainty explicit.

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Neutral-atom physics

Move from programmable connectivity to continuous-time Rydberg dynamics and constrained many-body evolution.

  • Three-stage Rydberg pulse schedule

    Build antiferromagnetic correlations in a Rydberg chain

    Design a three-stage Rydberg pulse from physical units and watch short-range antiferromagnetic order emerge in a ten-site chain.

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  • Eight-atom GHZ measurement frequencies

    Entangle eight atoms into a GHZ state

    Use dynamic Pair and Unpair operations to build an eight-atom GHZ state, then test both its correlations and coherent phase.

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  • PXP revival fidelities, entanglement entropy, and site occupations

    Revivals and entanglement growth in an open PXP chain

    Trotterize the constrained PXP Hamiltonian and compare many-body revivals and half-chain entropy with an independent exact solve.

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Power systems

Apply the QUBO and QAOA machinery to grid operation problems, where the encoding decides whether a network fits on the device at all.

  • The cheapest split of the WSCC 9-bus network compared with the split that respects generator coherency

    Model controlled islanding as a QUBO

    Why splitting a power grid to stop a cascading failure is a combinatorial optimization problem, and how to write it as a QUBO that a quantum optimizer can take.

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  • Mean energy and best-feasible-split probability against QAOA depth

    Split a power grid into islands with QAOA

    Run the controlled-islanding QUBO on a FatQat simulator, then repair every measured bitstring into a feasible split with pVSQA postprocessing.

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