Much of the quantum computing literature focuses on the circuit model. Adiabatic quantum computing is not based on applying a sequence of unitary operators, but on changing a time-dependent Hamiltonian. I am looking for insight into any of the following.
- Is adiabatic quantum computing as powerful as the circuit model, or is it inherently less powerful?
- Are there complexity classes specifically related to adiabatic computing as opposed to the circuit model?
- How does one quantitatively measure the power of adiabatic computing versus the power of the circuit model?