Holonomic Quantum Control with Continuous Variable Systems.
Universal computation of a quantum system consisting of superpositions of well-separated coherent states of multiple harmonic oscillators can be achieved by three families of adiabatic holonomic gates. The first gate consists of moving a coherent state around a closed path in phase space, resulting in a relative Berry phase between that state and the other states. The second gate consists of "colliding" two coherent states of the same oscillator, resulting in coherent population transfer between them. The third gate is an effective controlled-phase gate on coherent states of two different oscillators. Such gates should be realizable via reservoir engineering of systems that support tunable nonlinearities, such as trapped ions and circuit QED.
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
Victor V
VV
Albert
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.|Department of Physics, The Hong Kong University of Science and Technology, Hong Kong, China.
Chi
C
Shu
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
Stefan
S
Krastanov
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
Chao
C
Shen
Department of Physics and Centre for Quantum Coherence, The Chinese University of Hong Kong, Hong Kong, China.
Ren-Bao
RB
Liu
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.|Department of Physics, Fuzhou University, Fuzhou, China.
Zhen-Biao
ZB
Yang
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
Robert J
RJ
Schoelkopf
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.|INRIA Paris-Rocquencourt, Domaine de Voluceau, Le Chesnay Cedex, France.
Mazyar
M
Mirrahimi
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
Michel H
MH
Devoret
Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
Liang
L
Jiang