Time-evolution and Quantum Computing

Dubravko Horvat
Faculty of Electrical Engineering and Computing (FER), University of Zagreb

Quantum circuits are one possibility to implement quantum computation. Stemming from the adiabatic theorem in quantum mechanics where a time-changing Hamiltonian will remain in the same energy level over time as long as the evolution time, the adiabatic computing opens another possibility to implement time-dependent quantum computation. In this way time evolution is introduced in a formal way in quantum computation. Here the basic ideas of quantum computation will be given and the mimicking of the time evolution within a quantum ground state will be introduced. Some features of the adiabatic quantum computers will be given and open questions will be posed.