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For combinatorial optimization, the quantum approximate optimization algorithm (QAOA) [6] briefly had a better approximation ratio than any known polynomial time classical algorithm (for a certain problem), [7] until a more effective classical algorithm was proposed. [8] The relative speed-up of the quantum algorithm is an open research question.
In quantum computing, a quantum algorithm is an algorithm that runs on a realistic model of quantum computation, the most commonly used model being the quantum circuit model of computation. [ 1 ] [ 2 ] A classical (or non-quantum) algorithm is a finite sequence of instructions, or a step-by-step procedure for solving a problem, where each step ...
In quantum computing, Grover's algorithm, also known as the quantum search algorithm, is a quantum algorithm for unstructured search that finds with high probability the unique input to a black box function that produces a particular output value, using just () evaluations of the function, where is the size of the function's domain.
Quantum annealing (QA) is an optimization process ... As the first company dedicated to producing software applications for commercially available quantum computers ...
In quantum computing, the variational quantum eigensolver (VQE) is a quantum algorithm for quantum chemistry, quantum simulations and optimization problems.It is a hybrid algorithm that uses both classical computers and quantum computers to find the ground state of a given physical system.
The rapid advancement of AI could accelerate quantum-computing development in unexpected ways. AI's demonstrated ability to solve complex optimization problems and discover novel approaches in ...
Adiabatic quantum computing has been shown to be polynomially equivalent to conventional quantum computing in the circuit model. [ 6 ] The time complexity for an adiabatic algorithm is the time taken to complete the adiabatic evolution which is dependent on the gap in the energy eigenvalues ( spectral gap ) of the Hamiltonian.
Quantum computing has received some recent investing interest over the past month thanks to Google's breakthrough in its Willow quantum computing chip. Alphabet (NASDAQ: GOOG) (NASDAQ: GOOGL) is a ...
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