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1. ○F01 · Classical Computing versus Quantum ComputingCore
2. ○F02 · Introduction to Quantum InformationCore
3. ○F03 · Essential Mathematics: Complex NumbersCore
4. ○F04 · Vectors, Matrices and Linear AlgebraCore
5. ○F05 · Dirac Notation: Kets and BrasCore
6. ○F06 · Probability, Amplitudes and NormalisationCore
7. ○F07 · Understanding QubitsCore
8. ○F08 · SuperpositionCore
9. ○F09 · Quantum MeasurementCore
10. ○F10 · Quantum Phase and InterferenceCore
11. ○F11 · The Bloch SphereCore
12. ○F12 · Multiple Qubits and Tensor ProductsCore
13. ○F13 · Entanglement and Bell StatesCore
14. ○F14 · Quantum Reversibility and the No-Cloning PrincipleCore
15. ○F15 · Introduction to Quantum GatesCore
16. ○F16 · Pauli Gates and the Hadamard GateCore
17. ○F17 · Phase and Rotation GatesCore
18. ○F18 · Controlled Gates and CNOTCore
19. ○F19 · Constructing Quantum CircuitsCore
20. ○F20 · Quantum Oracles and Phase KickbackCore
21. ○F21 · Measuring and Simulating Quantum CircuitsCore
22. ○F22 · Quantum Noise and Hardware LimitationsCore
23. ○F23 · Classical versus Quantum Algorithmic ComplexityCore
24. ○F24 · Quantum Queries and OraclesCore
25. ○F25 · How Quantum Algorithms Use InterferenceCore
26. ○F26 · First Complete Quantum AlgorithmCore
27. ○P01 · Programming environments: Python, notebooks, SDK choicesCore
28. ○P04 · Quantum circuits as code: qubits, registers and gatesCore
29. ○P11 · Statevector and unitary verification techniquesUndergraduate
30. ○P12 · Probabilistic assertions and confidence intervalsUndergraduate
31. ○P13 · Property-based and metamorphic quantum testsUndergraduate
32. ○P14 · Debugging quantum logic and circuit defectsUndergraduate
33. ○P15 · Test-driven circuit development and mutation testingUndergraduate
34. ○P17 · Compilation and transpilation fundamentalsUndergraduate
35. ○P20 · Noise models, backend constraints and execution budgetsUndergraduate
36. ○A01 · What Makes a Quantum Algorithm Different?Core
37. ○A02 · Deutsch’s AlgorithmCore
38. ○A03 · Deutsch–Jozsa AlgorithmCore
39. ○A04 · Bernstein–Vazirani AlgorithmCore
40. ○A05 · Simon’s AlgorithmUndergraduate
41. ○A06 · Grover’s Search AlgorithmCore
42. ○A07 · Amplitude AmplificationUndergraduate
43. ○A08 · Quantum CountingUndergraduate
44. ○A09 · Quantum Amplitude EstimationUndergraduate
45. ○A10 · Quantum Walk AlgorithmsUndergraduate
46. ○A11 · Quantum Fourier TransformUndergraduate
47. ○A12 · Quantum Phase EstimationUndergraduate
48. ○A13 · Order FindingUndergraduate
49. ○A14 · Shor’s Factoring AlgorithmUndergraduate
50. ○A15 · Hidden Subgroup ProblemsUndergraduate
51. ○A16 · Introduction to Optimisation ProblemsCore
52. ○A17 · QUBO and Ising ModelsUndergraduate
53. ○A18 · Quantum Approximate Optimisation AlgorithmUndergraduate
54. ○A19 · Variational Quantum EigensolverUndergraduate
55. ○A20 · Quantum AnnealingUndergraduate
56. ○A21 · Quantum Optimisation and Classical BaselinesCore
57. ○A22 · Hamiltonian SimulationUndergraduate
58. ○A23 · Trotter–Suzuki MethodsUndergraduate
59. ○A24 · Linear Combination of UnitariesResearch
60. ○A25 · QubitizationResearch
61. ○A26 · HHL Quantum Linear Systems AlgorithmUndergraduate
62. ○A27 · Block EncodingResearch
63. ○A28 · Quantum Singular Value TransformationResearch
64. ○A29 · Quantum Machine LearningUndergraduate
65. ○A30 · Quantum KernelsUndergraduate
66. ○A31 · Variational Quantum ClassifiersUndergraduate
67. ○A32 · Quantum Sampling AlgorithmsUndergraduate
68. ○A33 · Applications in Cryptography and SecurityCore
69. ○A34 · Quantum Algorithms in Real-World OptimisationCore
70. ○A35 · Quantum Advantage and ComplexityUndergraduate
71. ○A36 · Noise and Resource EstimationUndergraduate
72. ○A37 · Error Mitigation and Error CorrectionUndergraduate
73. ○A38 · Fault-Tolerant Algorithm ConsiderationsResearch
74. ○A39 · Quantum versus Classical BenchmarkingCore
75. ○A40 · Open Research ChallengesResearch
76. ○AA01 · Adiabatic quantum computation and algorithmic equivalencesResearch
77. ○AA02 · Quantum minimum finding (Dürr–Høyer)Undergraduate
78. ○AA03 · Amplitude estimation variants and modern iterative approachesUndergraduate
79. ○AA04 · Quantum signal processing and polynomial transformationsResearch
80. ○AA05 · Quantum eigenvalue transformation and spectral filteringResearch
81. ○AA06 · Quantum singular value transformation applicationsResearch
82. ○AA07 · Quantum linear-algebra improvements and input/output assumptionsResearch
83. ○AA08 · Quantum principal components and spectral methodsResearch
84. ○AA09 · Quantum recommendation and nearest-neighbour ideasResearch
85. ○AA10 · Quantum gradient and derivative estimationResearch
86. ○AA11 · Quantum approximate counting and mean estimationUndergraduate
87. ○AA12 · Quantum Monte Carlo integration and risk estimationUndergraduate
88. ○AA13 · Quantum Gibbs-state preparation and thermal samplingResearch
89. ○AA14 · Quantum Metropolis methods and thermalisationResearch
90. ○AA15 · Quantum walk search on graphs and spatial searchUndergraduate
91. ○AA16 · Element distinctness and collision problemsUndergraduate
92. ○AA17 · Quantum backtracking and tree-search methodsResearch
93. ○AA18 · Formula evaluation and span-program viewpointsResearch
94. ○AA19 · Quantum dynamic programming and graph problemsResearch
95. ○AA20 · Quantum learning theory and sample complexityResearch
96. ○AA21 · Quantum neural network models and barren plateausResearch
97. ○AA22 · Quantum generative modelling and Born machinesUndergraduate
98. ○AA23 · Quantum chemistry and electronic structure workflowsUndergraduate
99. ○AA24 · Quantum PDE/ODE ideas and differential-equation algorithmsResearch
100. ○AA25 · Quantum finance and stochastic modellingUndergraduate
101. ○AA26 · Quantum methods for scientific optimisation and energy systemsUndergraduate
102. ○AA27 · Query adversary and lower-bound techniquesResearch
103. ○AA28 · Hamiltonian simulation algorithms beyond product formulasResearch
104. ○AA29 · Precision, condition-number and fault-tolerance costsResearch
105. ○AA30 · Dequantisation, quantum-inspired classical algorithms and honest baselinesUndergraduate
106. ○T01 · Quantum teleportationCore
107. ○T02 · Superdense codingCore
108. ○T03 · The Hadamard testUndergraduate
109. ○T04 · The swap testCore
110. ○T05 · Quantum random-access memoryUndergraduate
111. ○T06 · Classical shadowsUndergraduate
112. ○T07 · Regev’s factoring algorithmResearch