Abstract
We present protocols for dissipative entanglement of three trapped-ion qubits and discuss a scheme that uses sympathetic cooling as the dissipation mechanism. This scheme relies on tailored destructive interference to generate any one of six entangled W states in a three-ion qubit space. Using a beryllium–magnesium ion crystal as an example system, we theoretically investigate the protocol’s performance and the effects of likely error sources, including thermal secular motion of the ion crystal, calibration imperfections, and spontaneous photon scattering. We estimate that a fidelity of ∼98% may be achieved in typical trapped ion experiments with ∼1 ms interaction time. These protocols avoid timescale hierarchies for faster preparation of entangled states.
Highlights
Dissipation arises in quantum systems through interaction with the environment and presents a challenge for applications in quantum simulation, computation, communication, and metrology
We describe how couplings available in trapped-ion systems can extend these concepts for efficient dissipation engineering to the preparation of tripartite entanglement
Dissipative preparation of chiral W states using sympathetic cooling we present a more promising protocol that incorporates dissipation through sympathetic cooling, which can convert unitary, periodic dynamics to one-way population flow
Summary
Daniel C Cole1,∗ , Jenny J Wu1,2, Stephen D Erickson, Pan-Yu Hou, Andrew C Wilson , Dietrich Leibfried and Florentin Reiter.
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