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pojęcia
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QUBO (Quadratic Unconstrained Binary Optimization)

Standard mathematical formulation for combinatorial optimization problems, where the objective is to minimize a quadratic function of binary variables without constraints, serving as a bridge between enterprise problems and quantum solvers.

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Quantum Approximate Optimization Algorithm (QAOA)

Hybrid variational algorithm designed to find approximate solutions to combinatorial optimization problems, by alternately applying parameterized mixing and problem operators on a quantum computer.

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Problem Hamiltonian

Mathematical operator (Hermitian matrix) whose energy structure encodes the objective function of an optimization problem, where the ground state corresponds to the optimal solution.

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Binary Encoding

Technique for mapping variables from a classical optimization problem (continuous or discrete) into qubits, where each variable is represented by a string of quantum bits, directly impacting circuit complexity.

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Variational Optimizer

Classical optimization loop that iteratively adjusts the parameters of a quantum circuit (ansatz) to minimize a cost function, forming the core of hybrid algorithms such as QAOA and VQE.

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Ising Model

Mathematical model of magnetic spins on a lattice, equivalent to the QUBO model and fundamental for quantum annealing, where the system energy depends on interactions between neighboring spins.

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Energy Gap

Energy difference between the ground state (optimal solution) and the first excited state, whose size influences the convergence speed and robustness of adiabatic quantum optimization algorithms.

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Quantum Oracles

Quantum functions or subroutines that mark the correct solutions of a search problem, used as building blocks in algorithms such as Grover's to identify optimal states.

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Quantum Complexity

Branch of complexity theory that classifies problems according to the resources required to solve them with a quantum computer, defining classes such as BQP (Bounded-error Quantum Polynomial time).

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Phase Gate

Unitary quantum operator that applies a phase rotation to a qubit's state, essential in constructing optimization circuits to encode problem weights and penalties.

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Entangled States

Quantum states of multiple qubits where individual states cannot be described independently, enabling strong correlations exploited to simultaneously explore multiple solutions in the optimization space.

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