Measurement-Based Quantum Computing Explained
Measurement-based quantum computing performs computation through measurements on an entangled cluster state. How it compares with gate models.
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Adiabatic Quantum Computing: Model and Limits
Adiabatic quantum computing solves problems by slowly changing a Hamiltonian. The adiabatic theorem, Ising models, energy gaps and limits.
Quantum Phase Estimation: Accuracy and Cost
The accuracy and cost of quantum phase estimation: how precision scales with ancilla qubits, the role of phase kickback, and error sources.
The Quantum Fourier Transform in Algorithms
How the quantum Fourier transform is used in algorithms such as Shor’s and phase estimation, how it is built from gates and how it compares with the FFT.
The Quantum Zeno Effect and Its Experiments
Experiments on the quantum Zeno effect, how frequent measurement suppresses transitions, and its uses in quantum control and computing.
Gleason’s Theorem: Why the Born Rule Is Forced
Gleason’s theorem shows that the Born rule is the only consistent way to assign probabilities to quantum measurements. Its statement and impact.
The Kochen-Specker Theorem and Contextuality
The Kochen-Specker theorem shows that quantum outcomes cannot all be fixed in advance independent of context. Proofs, experiments and meaning.
Bell’s Theorem: The Experiment That Settled It
Bell’s theorem shows that no local hidden-variable theory can match quantum predictions. The inequality, the experiments and what they settled.
Quantum Gates and Circuits: Building a Computation
How quantum gates combine into circuits: basic gates, universal gate sets, entangling gates, circuit design, optimization and simulation.
Quantum Interference: The Engine of Every Speedup
Quantum interference lets amplitudes add or cancel. Why it drives every quantum speedup, with examples from experiments and algorithms.
Distinguishing Quantum States: Bounds and Methods
Methods and bounds for distinguishing quantum states, why non-orthogonal states cannot be told apart perfectly, and uses in quantum technology.
Quantum State Estimation From Limited Measurements
How quantum states are estimated from limited measurements: tomography, maximum likelihood, Bayesian inference and adaptive methods.