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How is the quantum approximate optimization algorithm used?
The general idea behind this approach is to supplement the noisy intermediate-scale quantum (NISQ) devices with classical computers. In this blog post, we discuss the Quantum Approximate Optimization Algorithm (QAOA), which is a hybrid algorithm, alongside some of its applications. QAOA is used for optimizing combinatorial problems.
Which is the approximate solution of the combinatorial optimization problem?
The approximated solution of the combinatorial optimization problem is a string . For combinatorial optimization, the quantum approximate optimization algorithm (QAOA) briefly had a better approximation ratio than any known polynomial time classical algorithm (for a certain problem), until a more effective classical algorithm was proposed.
How is qaoa used to solve combinatorial optimization problems?
QAOA takes the approach of classical approximate algorithms and looks for a quantum analogue that will likewise produce a classical bit string x ∗ that with high probability is expected to have a good approximation ratio α. Before discussing the details, let us first present the general idea of this approach.
How is qaoa different from Goemans-Williamson algorithm?
Unlike Goemans-Williamson algorithm, QAOA does not come with performance guarantees. QAOA takes the approach of classical approximate algorithms and looks for a quantum analogue that will likewise produce a classical bit string x ∗ that with high probability is expected to have a good approximation ratio α.
How is the cost function used in qaoa?
QAOA uses the cost function to construct a set of operations that would be able to efficiently map the unifrom superposition state into the desired quantum state. These operators involve single qubits rotations around the x-axis, and multiqubit rotations around the z-axis of our qubits.
What was the first motivation for exploring quantum computation?
Quantum Simulations, originally proposed by Richard Feynman in the late 80s was thought to be the first motivation behind exploring quantum computation.
Which is the best algorithm for polynomial speed up?
Algorithms based on the quantum Fourier transform (QFT) such as Shor’s algorithm offer an exponential speed-up, while amplitude-amplification algorithms such as Grover’s search algorithm provide us with a polynomial speedup.