Hybrid quantum computation gate with trapped ion system
Abstract
The hybrid approach to quantum computation simultaneously utilizes both discrete and continuous variables which offers the advantage of higher density encoding and processing powers for the same physical resources. Trapped ions, with discrete internal states and motional modes which can be described by continuous variables in an infinite dimensional Hilbert space, offer a natural platform for this approach. A nonlinear gate for universal quantum computing can be implemented with the conditional beam splitter Hamiltonian $e\rangle \langle e ( a^{\dagger} b + a b^{\dagger})$ that swaps the quantum states of two motional modes, depending on the ion's internal state. We realize such a gate and demonstrate its applications for quantum state overlap measurements, singleshot parity measurement, and generation of NOON states.
 Publication:

arXiv eprints
 Pub Date:
 August 2019
 arXiv:
 arXiv:1908.10117
 Bibcode:
 2019arXiv190810117G
 Keywords:

 Quantum Physics;
 Physics  Atomic Physics
 EPrint:
 10 pages, 7 figures