Abstract

We propose a deterministic Fredkin gate which can accomplish controlled-swap operation between three-qubit states. The proposed Fredkin gate consists of a photonic system (single photon) and quantum dots (QDs) confined in single-sided cavities (two electron spin states). In our scheme, the control qubit is the polarization state of the single photon, and two electron spin states in QDs play the role of target qubits (swapped states by control qubit). The interaction between a photon and an electron of QD within the cavity (QD-cavity system) significantly affects the performance of Fredkin gate. Thus, through the analysis of the QD-cavity system under vacuum noise and sideband leakage, we demonstrate that reliable interaction and performance of the QD-cavity system with photonic state (photon) can be acquired in our scheme. Consequently, the Fredkin gate proposed in this paper can be experimentally implemented with high feasibility and efficiency.

Highlights

  • We propose a deterministic Fredkin gate which can accomplish controlled-swap operation between three-qubit states

  • We have proposed an optical Fredkin gate, consisted of the quantum dots (QDs)-cavity systems, to feasibly exploit the controlled-swap gate for the high efficiency and the reliable performance

  • By our analysis, which is to quantify the efficiency and the reliable performance of the QD-cavity system via the reflection operator R P(ω) in Eq 21, we demonstrate that the optical Fredkin gate using QD-cavity systems can be experimentally realized with feasibility

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Summary

Conclusions

We have proposed an optical scheme of Fredkin gate, which can realize controlled-swap gate for the interaction with a control qubit (photon) and two target qubits (electrons), using the QD-cavity systems. Milburn[23] designed the optical Fredkin gate utilizing linearly optical devices under particular operating conditions (non-dissipative and error-free). This scheme cannot be operated when to realize Fredkin gate in practice (dissipative and error). In our scheme, two electrons in QD-cavity systems (QD1 and QD2: target qubits) for the acquisition[43,45,46,55,56,57] of the coherence of quantum state, when to perform the procedure of controlled operations.

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