Abstract

We propose an optical scheme of discrete quantum Fourier transform (DQFT) via ancillary systems using quantum dots (QDs) confined in single-sided cavities (QD-cavity systems). In our DQFT scheme, the main component is a controlled-rotation k (CRk) gate, which utilizes the interactions between photons and QDs, consisting of two QD-cavity systems. Since the proposed CRk gate can be experimentally implemented with high efficiency and reliable performance, the scalability of multi-qubit DQFT scheme can also be realized through the simple composition of the proposed CRk gates via the QD-cavity systems. Subsequently, in order to demonstrate the performance of the CRk gate, we analyze the interaction between a photon and a QD-cavity system, and then indicate the condition to be efficient CRk gate with feasibility under vacuum noise and sideband leakage.

Highlights

  • For quantum information processing schemes, many researchers have theoretically proposed and experimentally designed quantum controlled gates[34,35,36,37,38,39,40,41,42,43], which can apply an arbitrary operation to a target qubit according to a control qubit, via nonlinearly optical resources

  • Quantum information in the quantum dot (QD)-cavity system, which consists of an excess electron and a negatively charged exciton (X−) confined within an optical as well acsavailtiym40i,4t2e,d44–s6p6i,ncarnelbaxeawtieolnl ispoelraitoedd(fTro1em~mths)e63e–n66v.iTrohnemreefonrtef,oqruaalnotnugmelceocntrtoronl-lsepdingactoehs3e8r,3e9n,41c,e48t,5i1m,67e–6(9Th2ea~vμesb)5e7e–6n2 proposed via the quantum dots (QDs)-cavity system between photon-photon, electron-electron, and electron-photon

  • We have proposed the use of the controlled-rotation k (CRk) gate, using the QD-cavity systems, to feasibly implement the CRk operation for the optical discrete quantum Fourier transform (DQFT) scheme with high efficiency and reliable performance

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Summary

Theoretical Circuit of Discrete Quantum Fourier Transform

The arbitrary quantum state, |φ〉, can be transformed by the operation of DQFT2,13–19, as follows:. The interaction between a photon and an electron spin state in QD should be analyzed to quantify the efficiency and reliable performance of the QD-cavity system under vacuum noise, N(ω), for operation of the QD-dipole and leaky modes, S(ω) (sideband leakage and absorption)[40,42,53,54,55,56]. For this analysis, we introduce the Jaynes-Cummings Hamiltonian (HJC) in the rotating frame at the input field (bin) frequency. By analysis of the efficiency and performance of the QD-cavity system in terms of the fidelities, F1 and F2, from the reflection operator, Rp(ω), in Eq 19, we demonstrate that the experimental implementation of our CRk gate using QD1 and QD2 gates is feasible when there is a strong coupling strength, g ≫ (κ, γ), and the small side-leakage rate, κs ≪ κ

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