Learn the language used to describe Shor, Grover, VQE, and QAOA quantum algorithms for technical discussions.
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Grover's algorithm provides a speedup for:
Grover's algorithm searches an unsorted database of N items in O(sqrt(N)) steps — a quadratic speedup over the classical O(N) linear search.
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The Variational Quantum Eigensolver (VQE) is used primarily for:
VQE is a hybrid quantum-classical algorithm for estimating molecular ground state energies — a key near-term application for drug discovery and materials design.
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QAOA (Quantum Approximate Optimisation Algorithm) is designed for:
QAOA is a near-term hybrid algorithm that encodes combinatorial optimisation problems (max-cut, scheduling) into a quantum circuit to find approximate solutions.
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In quantum algorithm descriptions, 'circuit depth' refers to:
Circuit depth is the number of time steps (gate layers) in the circuit. Deep circuits are more susceptible to decoherence on NISQ hardware.
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A 'hybrid quantum-classical algorithm' combines:
Hybrid algorithms use quantum circuits for steps that benefit from quantum properties (e.g., state preparation) while relying on classical optimisers to tune parameters iteratively.