Section: New Results

Holonomic quantum control with continuous variable systems

Participants: Mazyar Mirrahimi

In a collaboration with the team of Liang Jiang at Yale University we propose a scheme to realize a set of universal gates on protected cat-qubits. 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.

This result has been published in [11].