Quantum AI: From Inspiration to Enhancement β€” A Practical Journey

Eight chapters: an oscillator PINN, combinatorial bit encodings, variational circuit plumbing, a hybrid classifier, finance and routing QUBOs, tensor-train LLM compression, and deployment governance.

Read in chapter order or open the chapter that matches your current bottleneck: residual versus boundary trade-offs, honest baselines for a quantum layer, penalty tuning on a QUBO, or evidence packaging for a release review.

The open repository sulimovp/sds_quantum_workshop holds runnable workshop code and installation notes; Implementation sections link there when you need the full cells.

1

Physics-informed learning on an oscillator

Start from a small ODE you can audit: boundary data, collocation grid, and a residual that must vanish if the model is faithful.

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2

Hard problems as bitstrings

Many classical hard problems become searches over structured bit assignments; quantum hardware reads bitstrings after measurement, so the encoding step is never optional.

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3

Circuits, gradients, and variational templates

This chapter is the skills bridge: exact statevector checks, hardware-aware patterns, and the classical outer loop that every VQE or QAOA deployment shares.

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4

Hybrid classifier stack

Same dataset splits, same loss, same reporting: the quantum block must earn its place against a classical baseline you would ship.

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5

Finance: portfolio as a QUBO

Each bit is an invest-or-skip decision; the QUBO encodes return appetite, risk via covariance, and hard budget constraints through penalties.

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6

Routing and logistics as QUBOs

One-hot encodings make constraints explicit: each city once, each position once, distance on legal tours only.

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7

Tensor trains and quantum-inspired compression

Matrix product state structure reappears as tensor train cores: fewer parameters, controlled error, no cryogenic requirement.

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8

Deployment and governance

Translate working science into decisions procurement, legal, and SRE teams can defend: parity, reproducibility, runtime envelopes, and explicit classical fallback.

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