Continuous time quantum walks performing quantum gates via higher energy states
Dmitry Solenov · arXiv (Cornell University) · 2015
It has recently been noticed that quantum gates can be performed faster and can utilize interaction between qubits more effectively if performed via continuous time quantum walks through states outside of the computational basis. We formulate general requirements for such walks and illustrate them with examples of single-, two- and three-qubit gates, including Hadamard, Control-NOT, and Toffoli gates. Continuous-time quantum walks on graphs involved in these gates are investigated.