Definition Adiabatic Quantum Computer

The aqc model of quantum computing is distinguished by the use of dynamical evolution that is slow.

Definition adiabatic quantum computer. 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 annealing devices exploit this model. 1 first a complex hamiltonian is found whose ground state describes the solution to the problem of interest. It is known to have the same computational power as a gate based quantum computer.

First we will reconsider our de nition of h s. Adiabatic quantum computation relies on the adiabatic theorem to do calculations. In the standard model. Adiabatic quantum computing is a n idealized analog universal quantum computer that operates at 0 k absolute zero.

The adiabatic computation stresses the deep and mysterious connection between physics and mathematics. In this review we give an account of most of the major theoretical developments in the field. Using a principle of quantum mechanics we try to find a shortcut to solutions of mathematical problems. Recently the actual physical devices th.

At a high level this paradigm uses a phenomenon from quantum physics known as the adiabatic theorem to find the global optimum of a discrete optimization problem. Foremost any quantum circuit can be simulated by an adiabatic quantum computer with polynomial overhead. Adiabatic quantum computing aqc is a model of computation that uses quantum mechanical processes operating under adiabatic conditions. Finally the simple hamiltonian is adiabatically evolved to the complex hamiltonian.

To show this we will follow the reasoning of aharonov et al. Next a system with a simple hamiltonian is prepared and initialized to the ground state. Adiabatic quantum computing has been shown to be polynomially equivalent to conventional quantum computing in the circuit model. As a form of universal quantum computation aqc employs the principles of superposition tunneling and entanglement that manifest in quantum physical systems.