https://quantumcomputingcourses.com/tutorials Free hands-on quantum computing tutorials in Qiskit, Cirq, PennyLane, Braket and Q#, with code that runs. Written and maintained by Dr. Donovan. en 2026 Hademord LLC hello@quantumcomputingcourses.com (Dr. Donovan) Fri, 24 Jul 2026 00:00:00 +0000 https://quantumcomputingcourses.com/tutorials/quantum-computing-in-julia-yao https://quantumcomputingcourses.com/tutorials/quantum-computing-in-julia-yao Fri, 24 Jul 2026 00:00:00 +0000 Write your first quantum programs in Julia with Yao.jl: build a Bell state, apply gates and rotations, measure, and compute expectation values. Every snippet is run on Yao 0.9. Dr. Donovan intermediate julia yao.jl quantum circuits bell state quantum programming https://quantumcomputingcourses.com/tutorials/bloch-sphere-measurement-and-limits https://quantumcomputingcourses.com/tutorials/bloch-sphere-measurement-and-limits Fri, 10 Jul 2026 00:00:00 +0000 The Bloch sphere is a map with edges. This final part covers what measurement does to the arrow, why real qubits drift inside the ball, and why an entangled qubit has no arrow at all. Dr. Donovan intermediate bloch sphere measurement decoherence density matrix entanglement https://quantumcomputingcourses.com/tutorials/bloch-sphere-arbitrary-rotations https://quantumcomputingcourses.com/tutorials/bloch-sphere-arbitrary-rotations Tue, 07 Jul 2026 00:00:00 +0000 Give a rotation a dial instead of a fixed angle and you can steer a qubit anywhere on the Bloch sphere with two gates. This is the Euler decomposition, and it is what your transpiler does to every circuit you run. Dr. Donovan intermediate bloch sphere rotation gates euler angles transpilation universality https://quantumcomputingcourses.com/tutorials/turing-machines-and-computation https://quantumcomputingcourses.com/tutorials/turing-machines-and-computation Sun, 05 Jul 2026 00:00:00 +0000 A quantum computer computes exactly the same set of functions as a Turing machine, no more and no fewer. It cannot solve the halting problem. What it changes is efficiency, not computability, and this tutorial draws the line precisely. Dr. Donovan intermediate Turing machines computability Church-Turing thesis halting problem BQP https://quantumcomputingcourses.com/tutorials/bloch-sphere-hadamard-and-phase-gates https://quantumcomputingcourses.com/tutorials/bloch-sphere-hadamard-and-phase-gates Fri, 03 Jul 2026 00:00:00 +0000 The Hadamard gate is a half-turn about a diagonal axis, and S and T are partial twists about the vertical one. Seen on a live Bloch sphere, the H, S and T gates stop being matrices and start being furniture-moving. Dr. Donovan beginner bloch sphere hadamard gate phase gate t gate clifford group https://quantumcomputingcourses.com/tutorials/bloch-sphere-pauli-gates https://quantumcomputingcourses.com/tutorials/bloch-sphere-pauli-gates Mon, 29 Jun 2026 00:00:00 +0000 Watch the X, Y and Z gates run on a live Bloch sphere. All three are half-turns around an axis, which explains why X flips a qubit, why Z appears to do nothing, and why applying any of them twice gets you back where you started. Dr. Donovan beginner bloch sphere pauli gates quantum gates rotations single qubit https://quantumcomputingcourses.com/tutorials/bloch-sphere-how-to-read https://quantumcomputingcourses.com/tutorials/bloch-sphere-how-to-read Wed, 24 Jun 2026 00:00:00 +0000 A guided tour of the Bloch sphere using a live simulator: what the poles, the equator and the two angles actually mean, and why two states with identical measurement odds can sit on opposite sides of the ball. Dr. Donovan beginner bloch sphere qubit superposition quantum phase state vectors https://quantumcomputingcourses.com/tutorials/hybrid-quantum-classical-vqe https://quantumcomputingcourses.com/tutorials/hybrid-quantum-classical-vqe Fri, 10 Apr 2026 00:00:00 +0000 A comprehensive guide to the Variational Quantum Eigensolver: ansatz design, optimizer selection, barren plateaus, and a complete H2 ground state calculation using Qiskit's Estimator primitive. Dr. Donovan advanced VQE hybrid algorithms variational forms SPSA optimizer quantum chemistry https://quantumcomputingcourses.com/tutorials/quantum-resource-estimation https://quantumcomputingcourses.com/tutorials/quantum-resource-estimation Fri, 10 Apr 2026 00:00:00 +0000 How to estimate the physical qubit count, T-gates, and runtime needed for fault-tolerant quantum algorithms. Use Azure Quantum Resource Estimator and manual calculations for Shor's algorithm and quantum chemistry. Dr. Donovan advanced resource estimation fault-tolerant T-count logical qubits magic state distillation https://quantumcomputingcourses.com/tutorials/pennylane-quantum-gans https://quantumcomputingcourses.com/tutorials/pennylane-quantum-gans Thu, 09 Apr 2026 00:00:00 +0000 Implement a patch quantum GAN in PennyLane with a parametric quantum generator and classical neural network discriminator. Covers adversarial training, mode collapse, and how entanglement contributes to output diversity. Dr. Donovan advanced quantum GAN QGAN PennyLane generative models quantum ML https://quantumcomputingcourses.com/tutorials/qasm-hello-world https://quantumcomputingcourses.com/tutorials/qasm-hello-world Wed, 08 Apr 2026 00:00:00 +0000 Write your first quantum program in OpenQASM 3, the universal quantum assembly language used by IBM Quantum, Qiskit, and cross-platform toolchains. Dr. Donovan beginner openqasm qasm quantum assembly bell state ibm quantum https://quantumcomputingcourses.com/tutorials/strawberryfields-quantum-neural-network https://quantumcomputingcourses.com/tutorials/strawberryfields-quantum-neural-network Wed, 08 Apr 2026 00:00:00 +0000 Build a continuous-variable quantum neural network using Strawberry Fields with differentiable backends, implementing the Killoran et al. CV-QNN architecture for function approximation. Dr. Donovan advanced Strawberry Fields quantum neural network continuous-variable variational circuit machine learning https://quantumcomputingcourses.com/tutorials/ocean-network-problems https://quantumcomputingcourses.com/tutorials/ocean-network-problems Tue, 07 Apr 2026 00:00:00 +0000 Learn how to formulate the Traveling Salesman Problem and graph coloring as QUBOs and BQMs using D-Wave Ocean SDK, then solve them with LeapHybridSampler and interpret the results. Dr. Donovan intermediate D-Wave Ocean SDK traveling salesman graph coloring QUBO https://quantumcomputingcourses.com/tutorials/pennylane-qchem-active-space https://quantumcomputingcourses.com/tutorials/pennylane-qchem-active-space Tue, 07 Apr 2026 00:00:00 +0000 Reduce molecular simulation cost by selecting active orbitals in PennyLane. Combine active space selection with VQE for accurate molecular ground state energies. Dr. Donovan advanced PennyLane quantum chemistry active space CASSCF molecular orbital https://quantumcomputingcourses.com/tutorials/bloqade-neutral-atom-programming https://quantumcomputingcourses.com/tutorials/bloqade-neutral-atom-programming Mon, 06 Apr 2026 00:00:00 +0000 Learn how neutral atom quantum computers use optical tweezers and Rydberg blockade to implement quantum logic, how to define pulse sequences with Bloqade's Python SDK, and how to run simulations and submit to QuEra's Aquila QPU via Amazon Braket. Dr. Donovan intermediate neutral atoms Bloqade QuEra Rydberg atoms analog quantum computing https://quantumcomputingcourses.com/tutorials/openfermion-getting-started https://quantumcomputingcourses.com/tutorials/openfermion-getting-started Mon, 06 Apr 2026 00:00:00 +0000 Set up molecular Hamiltonians in OpenFermion, apply Jordan-Wigner mapping to convert fermionic operators to Pauli strings, and build a VQE circuit in Cirq. Dr. Donovan advanced quantum chemistry OpenFermion Jordan-Wigner VQE molecular simulation https://quantumcomputingcourses.com/tutorials/pennylane-noise-mitigation https://quantumcomputingcourses.com/tutorials/pennylane-noise-mitigation Mon, 06 Apr 2026 00:00:00 +0000 Cut noise on NISQ devices with PennyLane: implement zero-noise extrapolation and probabilistic error cancellation, with a working example that beats the unmitigated baseline. Dr. Donovan intermediate noise error mitigation decoherence NISQ PennyLane https://quantumcomputingcourses.com/tutorials/qiskit-basics-gates-circuits https://quantumcomputingcourses.com/tutorials/qiskit-basics-gates-circuits Mon, 06 Apr 2026 00:00:00 +0000 A comprehensive beginner guide to Qiskit covering single-qubit gates, two-qubit gates, circuit drawing, statevector simulation, measurement, and histograms, with 20+ code examples. Dr. Donovan beginner Qiskit gates circuits measurement X gate https://quantumcomputingcourses.com/tutorials/pennylane-noise-aware-training https://quantumcomputingcourses.com/tutorials/pennylane-noise-aware-training Sun, 05 Apr 2026 00:00:00 +0000 Train variational quantum circuits directly on realistic noise models using PennyLane. Compare circuits trained with and without noise, insert depolarizing and amplitude damping channels, and apply noise injection techniques to improve real hardware performance. Dr. Donovan advanced noise-aware training device noise PennyLane variational circuits hardware deployment https://quantumcomputingcourses.com/tutorials/qiskit-runtime-sessions https://quantumcomputingcourses.com/tutorials/qiskit-runtime-sessions Sun, 05 Apr 2026 00:00:00 +0000 A production-oriented guide to Qiskit Runtime's Session and Batch modes, the Estimator and Sampler primitives, Primitive Unified Blocs (PUBs), ISA circuits, and cost optimization strategies for IBM Quantum hardware. Dr. Donovan intermediate Qiskit Runtime Estimator Sampler sessions IBM Quantum https://quantumcomputingcourses.com/tutorials/pennylane-adaptive-circuits https://quantumcomputingcourses.com/tutorials/pennylane-adaptive-circuits Sat, 04 Apr 2026 00:00:00 +0000 Implement a simplified ADAPT-VQE algorithm in PennyLane. Build an operator pool, greedily select operators by gradient magnitude, grow the ansatz iteratively, and compare convergence against fixed UCCSD for the H2 molecule. Dr. Donovan advanced ADAPT-VQE adaptive circuits variational algorithms quantum chemistry PennyLane https://quantumcomputingcourses.com/tutorials/pennylane-hybrid-optimization https://quantumcomputingcourses.com/tutorials/pennylane-hybrid-optimization Fri, 03 Apr 2026 00:00:00 +0000 Build a complete hybrid quantum-classical optimization pipeline: PennyLane QNode wrapped as a PyTorch layer, automatic differentiation through quantum circuits, Adam optimizer training on a binary classification task, and comparison to classical logistic regression. Dr. Donovan intermediate PennyLane PyTorch hybrid optimization TorchLayer variational circuits https://quantumcomputingcourses.com/tutorials/pyquil-noise-simulation https://quantumcomputingcourses.com/tutorials/pyquil-noise-simulation Fri, 03 Apr 2026 00:00:00 +0000 Learn to simulate realistic quantum noise in PyQuil using Kraus operators, depolarizing channels, and T1/T2 decoherence models. Compare ideal and noisy Bell state results on the QVM. Dr. Donovan intermediate pyquil noise simulation decoherence kraus operators noise models https://quantumcomputingcourses.com/tutorials/qiskit-dynamic-circuits https://quantumcomputingcourses.com/tutorials/qiskit-dynamic-circuits Wed, 01 Apr 2026 00:00:00 +0000 Implement quantum teleportation using Qiskit's dynamic circuit primitives: mid-circuit measurement, classical feedforward with if_else, and comparison to the static circuit approach. Includes repeat-until-success gates. Dr. Donovan intermediate dynamic circuits mid-circuit measurement classical feedforward quantum teleportation if_else https://quantumcomputingcourses.com/tutorials/quantum-error-models-intro https://quantumcomputingcourses.com/tutorials/quantum-error-models-intro Wed, 01 Apr 2026 00:00:00 +0000 A practical introduction to the main quantum error models: bit flip, phase flip, depolarizing, and amplitude damping. Understand how these map onto real hardware noise and how error correction addresses each. Dr. Donovan intermediate quantum errors noise models depolarizing channel bit flip phase flip https://quantumcomputingcourses.com/tutorials/quantum-measurement-explained https://quantumcomputingcourses.com/tutorials/quantum-measurement-explained Wed, 01 Apr 2026 00:00:00 +0000 How quantum measurement works: the Born rule, wavefunction collapse, measurement bases, and why measurement is irreversible in quantum computing. Dr. Donovan beginner quantum measurement Born rule collapse probability quantum states https://quantumcomputingcourses.com/tutorials/qaoa-pennylane https://quantumcomputingcourses.com/tutorials/qaoa-pennylane Tue, 31 Mar 2026 00:00:00 +0000 Implement the Quantum Approximate Optimisation Algorithm to solve the MaxCut graph problem using PennyLane, and understand how QAOA bridges quantum computing and combinatorial optimisation. Dr. Donovan intermediate QAOA optimisation PennyLane MaxCut variational algorithms https://quantumcomputingcourses.com/tutorials/qiskit-swap-networks-connectivity https://quantumcomputingcourses.com/tutorials/qiskit-swap-networks-connectivity Tue, 31 Mar 2026 00:00:00 +0000 Learn how Qiskit's transpiler inserts SWAP gates to route circuits onto device connectivity graphs. Understand routing heuristics and how to minimize SWAP overhead. Dr. Donovan advanced Qiskit SWAP networks qubit routing coupling map transpilation https://quantumcomputingcourses.com/tutorials/qiskit-quantum-volume-measurement https://quantumcomputingcourses.com/tutorials/qiskit-quantum-volume-measurement Mon, 30 Mar 2026 00:00:00 +0000 Implement the quantum volume protocol in Qiskit to compare hardware quality across devices. Understand how QV relates to circuit depth, qubit count, and gate fidelity. Dr. Donovan advanced Qiskit quantum volume benchmarking hardware comparison CLOPS https://quantumcomputingcourses.com/tutorials/qaoa-maxcut-qiskit https://quantumcomputingcourses.com/tutorials/qaoa-maxcut-qiskit Sun, 29 Mar 2026 00:00:00 +0000 Build the Quantum Approximate Optimization Algorithm from scratch in Qiskit to solve MaxCut on small graphs. Understand the circuit structure, cost function, and how to tune the depth parameter p. Dr. Donovan intermediate QAOA MaxCut combinatorial optimization variational algorithms Qiskit https://quantumcomputingcourses.com/tutorials/quantum-teleportation-qiskit https://quantumcomputingcourses.com/tutorials/quantum-teleportation-qiskit Sun, 29 Mar 2026 00:00:00 +0000 Build a working quantum teleportation circuit in Qiskit - create an entangled pair, perform a Bell measurement, apply classical corrections, and verify the teleported state. Dr. Donovan intermediate quantum teleportation entanglement Bell states Qiskit quantum communication https://quantumcomputingcourses.com/tutorials/strawberryfields-squeezed-states https://quantumcomputingcourses.com/tutorials/strawberryfields-squeezed-states Sat, 28 Mar 2026 00:00:00 +0000 Learn to create squeezed, displaced, and rotated states in Strawberry Fields, measure position and momentum quadratures via homodyne detection, and visualize the results with Wigner functions. Dr. Donovan intermediate Strawberry Fields squeezed states quadrature measurements homodyne detection continuous-variable https://quantumcomputingcourses.com/tutorials/fault-tolerant-quantum-gates https://quantumcomputingcourses.com/tutorials/fault-tolerant-quantum-gates Fri, 27 Mar 2026 00:00:00 +0000 Physical vs logical gates, transversal Cliffords on the surface code, the Eastin-Knill obstruction, and the 15-to-1 magic state protocol that makes T gates fault-tolerant. Dr. Donovan advanced fault tolerance logical gates magic state distillation transversal gates T gate https://quantumcomputingcourses.com/tutorials/grovers-algorithm-explained https://quantumcomputingcourses.com/tutorials/grovers-algorithm-explained Fri, 27 Mar 2026 00:00:00 +0000 How Grover's algorithm searches an unsorted database in √N steps, and why that matters for cryptography and optimization. Dr. Donovan intermediate grovers algorithm quantum search quantum speedup oracle amplitude amplification https://quantumcomputingcourses.com/tutorials/qiskit-pauli-evolution https://quantumcomputingcourses.com/tutorials/qiskit-pauli-evolution Fri, 27 Mar 2026 00:00:00 +0000 Implement first-order and second-order Trotter decomposition for the transverse-field Ising model using Qiskit's PauliEvolutionGate and SuzukiTrotter, measure energy expectation value evolution, and analyze Trotter step error as a function of step size. Dr. Donovan advanced Hamiltonian simulation Trotterization Pauli evolution quantum simulation Ising model https://quantumcomputingcourses.com/tutorials/bell-inequalities-chsh-test https://quantumcomputingcourses.com/tutorials/bell-inequalities-chsh-test Thu, 26 Mar 2026 00:00:00 +0000 Derive the CHSH inequality, understand why classical correlations cannot violate it, and verify that quantum entanglement does, with working Qiskit code that reproduces Bell test results. Dr. Donovan intermediate entanglement bell inequalities CHSH quantum nonlocality measurement https://quantumcomputingcourses.com/tutorials/quantum-computing-applications-overview https://quantumcomputingcourses.com/tutorials/quantum-computing-applications-overview Wed, 25 Mar 2026 00:00:00 +0000 A practical overview of what quantum computers can actually do today and in the near future: chemistry simulation, optimisation, cryptography, and machine learning. Dr. Donovan beginner quantum applications quantum chemistry optimisation cryptography quantum ML https://quantumcomputingcourses.com/tutorials/quantum-error-correction-intro https://quantumcomputingcourses.com/tutorials/quantum-error-correction-intro Wed, 25 Mar 2026 00:00:00 +0000 Learn how quantum error correction works by implementing the 3-qubit bit-flip code in Qiskit - encode a logical qubit, introduce an error, detect it with syndrome measurement, and correct it. Dr. Donovan intermediate quantum error correction stabilizer codes Qiskit fault tolerance logical qubit https://quantumcomputingcourses.com/tutorials/quantum-teleportation-qsharp https://quantumcomputingcourses.com/tutorials/quantum-teleportation-qsharp Wed, 25 Mar 2026 00:00:00 +0000 Implement quantum teleportation in Q# using Bell state preparation and classical communication. Run on Azure Quantum simulators and understand the protocol step by step. Dr. Donovan intermediate Q# quantum teleportation entanglement Bell measurement Microsoft Quantum https://quantumcomputingcourses.com/tutorials/ocean-constrained-optimization https://quantumcomputingcourses.com/tutorials/ocean-constrained-optimization Tue, 24 Mar 2026 00:00:00 +0000 Use D-Wave's Constrained Quadratic Model (CQM) sampler to solve optimization problems with explicit constraints, eliminating the need for manual QUBO penalty encoding. Dr. Donovan intermediate D-Wave Ocean SDK CQM constrained quadratic model Leap https://quantumcomputingcourses.com/tutorials/qsharp-error-correction-basics https://quantumcomputingcourses.com/tutorials/qsharp-error-correction-basics Tue, 24 Mar 2026 00:00:00 +0000 Implement the 3-qubit bit flip code and phase flip code in Q#, covering encoding, error injection, syndrome measurement, and correction. Dr. Donovan intermediate error correction Q# stabilizer codes bit flip code phase flip code https://quantumcomputingcourses.com/tutorials/quantum-random-number-generator https://quantumcomputingcourses.com/tutorials/quantum-random-number-generator Tue, 24 Mar 2026 00:00:00 +0000 Build a true quantum random number generator using superposition and measurement in Qiskit, and understand why quantum randomness is fundamentally different from classical pseudo-randomness. Dr. Donovan beginner random number generator QRNG Hadamard Qiskit measurement https://quantumcomputingcourses.com/tutorials/strawberryfields-photonic-circuits https://quantumcomputingcourses.com/tutorials/strawberryfields-photonic-circuits Tue, 24 Mar 2026 00:00:00 +0000 A hands-on guide to continuous-variable quantum computing with Strawberry Fields, covering the program model, Gaussian and Fock backends, Gaussian boson sampling, and a full CV teleportation circuit. Dr. Donovan intermediate Strawberry Fields photonic computing Gaussian boson sampling continuous variable Xanadu https://quantumcomputingcourses.com/tutorials/how-quantum-algorithms-work https://quantumcomputingcourses.com/tutorials/how-quantum-algorithms-work Mon, 23 Mar 2026 00:00:00 +0000 A conceptual guide to how quantum algorithms actually work: using superposition to explore many paths, interference to amplify correct answers, and measurement to extract results. Dr. Donovan beginner quantum algorithms superposition interference quantum speedup algorithm design https://quantumcomputingcourses.com/tutorials/pennylane-shot-adaptive-optimizer https://quantumcomputingcourses.com/tutorials/pennylane-shot-adaptive-optimizer Mon, 23 Mar 2026 00:00:00 +0000 Use PennyLane's shot-adaptive optimizer to allocate measurement shots intelligently across circuit parameters. Dr. Donovan intermediate PennyLane shot-adaptive optimizer resource efficiency gradient quantum optimization https://quantumcomputingcourses.com/tutorials/qiskit-runtime-error-suppression https://quantumcomputingcourses.com/tutorials/qiskit-runtime-error-suppression Mon, 23 Mar 2026 00:00:00 +0000 Use Qiskit Runtime's built-in error suppression techniques including dynamical decoupling, TREX readout error mitigation, and resilience levels to improve results on real hardware. Dr. Donovan advanced Qiskit Runtime error suppression dynamical decoupling TREX resilience levels https://quantumcomputingcourses.com/tutorials/quantum-channels-kraus-operators https://quantumcomputingcourses.com/tutorials/quantum-channels-kraus-operators Mon, 23 Mar 2026 00:00:00 +0000 The formal framework for describing any quantum operation: CPTP maps, Kraus operators, the Choi matrix, and how common noise channels (depolarising, amplitude damping, phase damping) are expressed mathematically. Dr. Donovan advanced quantum channels kraus operators CPTP maps quantum noise density matrices https://quantumcomputingcourses.com/tutorials/quantum-circuit-cutting-qiskit https://quantumcomputingcourses.com/tutorials/quantum-circuit-cutting-qiskit Mon, 23 Mar 2026 00:00:00 +0000 Split a large quantum circuit across smaller QPUs using Qiskit's circuit cutting addon. Covers both wire cuts and gate cuts, plus when the classical overhead becomes prohibitive. Dr. Donovan advanced Qiskit circuit cutting circuit knitting distributed quantum computing gate cutting https://quantumcomputingcourses.com/tutorials/linear-algebra-for-quantum https://quantumcomputingcourses.com/tutorials/linear-algebra-for-quantum Sun, 22 Mar 2026 00:00:00 +0000 Master the linear algebra underlying quantum computing: Dirac notation, inner products, tensor products, Hermitian and unitary matrices, eigenvalues, and partial trace, all with numpy examples. Dr. Donovan beginner linear algebra vectors matrices inner product bra-ket notation https://quantumcomputingcourses.com/tutorials/pennylane-hello-world https://quantumcomputingcourses.com/tutorials/pennylane-hello-world Sun, 22 Mar 2026 00:00:00 +0000 Run your first differentiable quantum circuit in PennyLane. Build a Bell state, compute gradients, and see why PennyLane is the go-to framework for quantum ML. Dr. Donovan beginner pennylane quantum machine learning variational circuits gradients