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Physicae Proceedings

Transfer of Two Qubits States Using Coupled Cavities in Off-Resonance Systems

Julio Cesar González Henao

Published Mar 29, 2012• 0 citations
Publisher

Abstract

In this work we studied a system consisting of a pair of two-level trapped ions in coupled optics cavities, where we analyze the transfer of states of two qubits from the degrees of freedom (of movement and of internal states) of one ion to another. This system was studied near the blue side band frequency with a small gap. With analytical results obtained was possible to calculate the fidelity of transfer of entangled qubits.

DOI
10.5196/physicae.proceedings.xiyrm.32

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In this work we studied a system consisting of a pair of two-level trapped ions in coupled optics cavities, where we analyze the transfer of states of two qubits from the degrees of freedom (of movement and of internal states) of one ion to another. This system was studied near the blue side band frequency with a small gap. With analytical results obtained was possible to calculate the fidelity of transfer of entangled qubits.
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We propose a physical scheme for implementing quantum state transfer utilizing the interaction of a two-level trapped ion with a quantum monomode electromagnetic field within an optical cavity.The results show that by controlling the frequency of cavity field to be resonant with the carrier,quantum information can be transferred between cavity field and the internal state of the ion without the need for the selected measurement of the qubits.Quantum information may also be transmitted from the vibrational state of the ion into cavity mode,from the internal state of the ion into its vibration state, and from a single-qubit state into an entangled bipartite state by means of the measurement on the qubits when we tune the light field to the first blue sideband.A practical model of a quantum network is proposed.Finally,we analyze the experimental feasibility of the present scheme.
The problem of a controlled transfer of an entanglement initially encoded into two two-level atoms that are successively sent through two single-mode cavities is investigated. The atoms and the cavity modes form a four-qubit system and we demonstrate the conditions under which the initial entanglement encoded into the atoms can be completely transferred to other pairs of qubits. We find that in the case of non-zero detuning between the atomic transition frequencies and the cavity mode frequencies, no complete transfer of the initial entanglement is possible to any of the other pairs of qubits. In the case of exact resonance and equal coupling strengths of the atoms to the cavity modes, an initial maximally entangled state of the atoms can be completely transferred to the cavity modes. Complete transfer of the entanglement is restricted to the cavity modes, with transfer to the other pairs being limited to 50%. We find that complete transfer of an initial entanglement to other pairs of qubits may take place if the initial state is not the maximally entangled state and the atoms couple to the cavity modes with unequal strengths. Depending on the ratio between the coupling strengths, optimal entanglement can be created between the atoms and one of the cavity modes.
We propose a method for transferring quantum entangled states of two photonic cat-state qubits ( cqubits ) from two microwave cavities to the other two microwave cavities. This proposal is realized by using four microwave cavities coupled to a superconducting flux qutrit. Because of using four cavities with different frequencies, the inter-cavity crosstalk is significantly reduced. Since only one coupler qutrit is used, the circuit resource is minimized. The entanglement transfer is completed with a singlestep operation only, thus this proposal is quite simple. The third energy level of the coupler qutrit is not populated during the state transfer, therefore decoherence from the higher energy level is greatly suppressed. Our numerical simulations show that high-fidelity transfer of two- cqubit entangled states from two transmission line resonators to the other two transmission line resonators is feasible with current circuit QED technology. This proposal is universal and can be applied to accomplish the same task in a wide range of physical systems, such as four microwave or optical cavities, which are coupled to a natural or artificial three-level atom.