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Components: Quantum gates, Ancilla qubits (sometimes). Accomplishes: Prepares a specific quantum state from a default initial state.

Components: Pre-shared entangled pair, Pauli gates, Bell state measurement. Accomplishes: Transmits two classical bits of information using one qubit.

Components: Quantum coins, Shift operators, Quantum state space (graph or line). Accomplishes: Quantum counterpart to classical random walks, explores paths in superposition.

Components: Quantum adders, Quantum multipliers, Ancilla qubits. Accomplishes: Performs arithmetic operations such as addition or multiplication on quantum states.

Components: Oracle, Diffusion operator. Accomplishes: Provides a quadratic speedup in searching an unsorted database.

Components: Entangled qubits, Quantum gates, Classical communication. Accomplishes: Transfers a quantum gate operation from one qubit to another at a distance.

Components: Quantum gates (such as Hadamard and CNOT), Qubits. Accomplishes: Produces entangled states, which are crucial resources for many quantum processes.

Components: Quantum bit (qubit) transmission, Randomly chosen bases for encoding, Public classical communication channel. Accomplishes: Creates a shared secret key between two parties secure against eavesdropping.

Components: Controlled-SWAP gate, Hadamard gates, Auxiliary qubit. Accomplishes: Determines if two quantum states are identical or different.

Components: Quantum register, Oracle for function evaluation, Hadamard gates. Accomplishes: Determines if a function is constant or balanced with one query.

Components: Entanglement swapping, Quantum memories, Bell state measurements. Accomplishes: Extends the distance for quantum communication.

Components: Oracle, Diffusion operator (in Grover's algorithm). Accomplishes: Enhances the probability amplitude of desired states in a quantum superposition.

Components: Quantum gates (Hadamard and controlled phase gates). Accomplishes: Transforms a quantum state into its frequency domain representation.

Components: Set of gates that can construct any quantum circuit (e.g., CNOT, Hadamard, and π/8 gates). Accomplishes: Enable the realization of any quantum operation.

Components: Quantum register, Controlled-U operations. Accomplishes: Estimates the phase of an eigenvalue of a unitary operator.

Components: Entangled pair of qubits, Bell state measurement, Classical communication, Pauli gates. Accomplishes: Transfers a quantum state to another qubit via entanglement.

Components: Ancilla qubits, Quantum gates for error syndromes, Recovery operations. Accomplishes: Protects quantum information against errors.

Components: Ancilla qubits, Parity check operations, Non-destructive measurements. Accomplishes: Detects errors in qubits without measuring the qubits themselves.

Components: Entangled qubits, Measurement devices, Classical channels. Accomplishes: Tests for quantum entanglement and the violation of Bell's inequality.