1. Department of Physics, Columbia University, New York, NY 10027, USA.
2. Department of Electrical Engineering, Columbia University, New York, NY 10027, USA.
3. Department of Mechanical Engineering, Columbia University, New York, NY 10027, USA.
4. National Institute for Materials Science, 1-1 Namiki, Tsukuba, Japan.
5. Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, Canada.
6. Institute for Quantum Computing, Waterloo, ON N2L 3G1, Canada.
7. Physics Program, Bard College, Annandale-on-Hudson, NY 12504, USA.
8. Department of Physics, The City College of New York, New York, NY 10031, USA.