Polarization entanglement and qubit error rate dependence on the exciton-phonon coupling in self-assembled quantum dots

• URL: http://arxiv.org/abs/2502.03413v2
• Date: Thu, 06 Feb 2025 15:46:08 GMT
• Title: Polarization entanglement and qubit error rate dependence on the exciton-phonon coupling in self-assembled quantum dots
• Authors: Urmimala Dewan, Parvendra Kumar, Amarendra K. Sarma,
• Abstract summary: We theoretically investigate the polarization entangled photon pairs emitted by a quantum-dot radiative cascade embedded in a micropillar cavity. We show that the phonon-coupling introduces the one-photon and two-photon incoherent processes, as well as the cross-coupling between the two exciton states. It is shown that the phonon-mediated coupling along with the ac-Stark shift and multiphoton emission significantly degrade the entanglement at higher temperatures.
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• Abstract: Polarization entangled photons are the key ingredients of various protocols in quantum computation and quantum key distribution. In particular, for key distributions, a near-unity degree of polarization entanglement is one of the requirements for minimizing the qubit error rates. In this work, we theoretically investigate the polarization entangled photon pairs emitted by a quantum-dot radiative cascade embedded in a micropillar cavity. We develop a polaron master equation theory for incorporating the unavoidable exciton-phonon coupling and investigate the role of phonon-mediated processes and phonon-bath temperature on the degree of entanglement. We show that the phonon-coupling introduces the one-photon and two-photon incoherent processes, as well as the cross-coupling between the two exciton states. It is shown that the phonon-mediated coupling along with the ac-Stark shift and multiphoton emission significantly degrade the entanglement at higher temperatures. Finally, we consider a BBM92 quantum key distribution protocol to investigate the qubit error rate for the given degree of entanglement.

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