Quantum Bayesian Networks: Inference, Quantised
Quantum Bayesian networks extend Bayesian inference to quantum probabilities. How they are built and compared with classical networks, and their uses.
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Quantum State Tomography: Measuring an Unknown State
Quantum state tomography reconstructs an unknown quantum state from many measurements. The methods, maximum likelihood estimation and its costs.
Quantum Algorithms for Graph Problems
Quantum algorithms for graph problems: quantum walks, search speedups and subgraph questions, with an honest view of where advantages hold.
Quantum Clustering Algorithms and Where They Help
Quantum clustering algorithms group data using quantum states, walks, annealing and Grover search. How they compare with classical k-means methods.
Quantum Circuit Design: Algorithms and Compilers
How quantum circuits are designed and compiled: gate decomposition, qubit mapping, depth reduction, parallelization, synthesis and benchmarking.
Quantum Multi-Prover Interactive Proofs, Explained
Quantum multi-prover interactive proofs let a verifier check provers who share entanglement. Their complexity, security aspects and known results.
Quantum Oracles: The Black Box in Quantum Algorithms
What a quantum oracle is, how algorithms query it as a black box, how oracles are built as circuits, and why they matter for speedup claims.
Quantum Data Compression: Schumacher’s Theorem
Schumacher’s theorem sets the limit for compressing quantum information, just as Shannon’s does for classical data. How quantum compression works.
Quantum Cryptography Algorithms: The Working Set
The main quantum cryptography algorithms and protocols: QKD, entanglement-based schemes, secure direct communication, and how they compare.
Quantum Chemistry Algorithms: What Runs Today
Which quantum chemistry algorithms run on today’s hardware, what they compute, and how they may help drug discovery and materials science.
Quantum Eigenvalue Estimation: Methods Compared
How quantum computers estimate eigenvalues: phase estimation, variational methods and their uses in chemistry, physics and data analysis.
Quantum Amplitude Estimation and Its Speedup
Quantum amplitude estimation measures a probability with quadratically fewer samples than classical Monte Carlo. The circuit, precision and applications.