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Bulletin of the American Physical Society

Engineering Tripartite Entangled States of Two Phase Qubits Coupled via a Cavity

Jae Hyung Park, Fabio Altomare, Raymond W. Simmonds

Published Mar 17, 2009• 0 citations
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We study the dynamics of tripartite entanglement in a system of two strongly driven qubits individually coupled to a dissipative cavity. We aim to explain the previously noted entanglement revival between two qubits in this system. We show that the periods of entanglement loss correspond to the tripartite entanglement formation between the qubits and the cavity, and the recovery is associated with an inverse process. We demonstrate that the overall process of qubit–qubit entanglement loss is due to the coupling to the cavity, and further loss of multipartite entanglement is due to the coupling of the cavity to the external continuum, which explains the behaviour of the qubit–qubit entanglement loss reported previously.
We investigate the process of entanglement transfer from a three-mode quantized field to a system of three spatially separated qubits, each one made of a two-level atom resonantly coupled to a cavity mode. The optimal conditions for entanglement transfer, evaluated by atomic tripartite negativity, are derived for radiation prepared in qubitlike and Gaussian entangled states in terms of field parameters, atom-cavity interaction time, cavity mirror losses, and atomic preparation. For qubitlike states we find that for negligible cavity losses some states may completely transfer their entanglement to the atoms and/or be exactly mapped to the atomic state, whereas for Gaussian states we find a range of field parameters needed to obtain a large entanglement transfer. The purity of the three-qubit states and the entanglement of two-qubit subsystems are also discussed in some detail.
We introduce a strategy to regulate the quantum entanglement in a dispersive-hybrid system where a qubit is directly coupled to a cavity and a resonator. A dramatic transition takes place by only tuning the squeezing parameters associated with the vibrational mode. As the squeezing amplitude becomes larger, the maximal entanglement abruptly falls to zero at specific squeezing phases. It is also possible to generate entanglement for bipartitions from the qubit-cavity-resonator system after applying this strategy. Entangled qubit-cavity states are created through squeezing, even though there is no direct interaction between them. We also analyze the effect of atomic, optical, and vibrational losses on the quantum entanglement. Finally, we discuss future realizations to implement all these ideas and promote further studies to generalize the concept of monogamy in tripartite systems outside qubit-composite states, in particular, $(2\ensuremath{\bigotimes}2\ensuremath{\bigotimes}n)$-dimensional systems.