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Optical and Quantum Electronics

Entanglement generation for non-local photonic qubits using quantum dot within the optical micro-cavity

Amit Kumar Sharma, Ritu Sharma, Shishir Kumar Sharma

Published May 19, 2023• 1 citation
Publisher

Abstract

Abstract This paper presents the analytical inquisition of photonic entanglement generation circuit (PEGC) for non local Qubits designed using quantum dot within the optical micro-cavity, considering practical environment. It is established that the concurrence of the PEGC is considerably contingent on the interplay between spin of quantum dot and photon within the optical micro-cavity. The maximum concurrence obtained is 61.24 at \(g/k=.3\) and \({k}_{s}/k=0.1\) and 90.11 at \(g/k=4\) and \({k}_{s}/k=0.1\) with and without noisy environment, respectively. Different quantum cryptography-based protocols may be implemented using reported work.

DOI
10.1007/s11082-023-04875-w

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Abstract This paper presents the analytical investigation of the Fidelity and Concurrence of Photonic Quantum teleportation Circuit (PQTC) designed using quantum dot within the optical micro-cavity, considering vacuum noise and sideband leakage. It is found that the performance of the Photonic Quantum teleportation Circuit is significantly dependent on the interaction between the spin of quantum dot and photon within the optical cavity. The maximum concurrence obtained is 0.8158 at g/k=5g/k=5g/k=5 and ks/k=0.1{k}_{s}/k=0.1ks​/k=0.1 without noisy environment and 0.375 at g/k=0.3g/k=0.3g/k=0.3 and ks/k=0.1{k}_{s}/k=0.1ks​/k=0.1 with a noisy environment. The computed maximum fidelity of 0.99 is observed at g/k=4g/k=4g/k=4 and ks/k=0.1{k}_{s}/k=0.1ks​/k=0.1 with noisy conditions, and 0.4603 is observed at g/k=0.3g/k=0.3g/k=0.3 and ks/k=0.1{k}_{s}/k=0.1ks​/k=0.1 without noisy conditions. The work reported in this paper can be used to implement different quantum cryptography-based protocols.
We propose a method for deterministic generation of entanglement between a quantum-dot spin and a photon. Entanglement is established by an elastic scattering event from a cavity that is strongly coupled to a singly charged quantum dot. Due to the elastic nature of the interaction, the energy of the photon does not become entangled with the quantum dot, eliminating the need for temporal postselection. We derive an analytical expression for fidelity of the generated entangled state and investigate its behavior under realistic experimental conditions. We show that entanglement fidelities exceeding 0.974 can be realized using currently achievable quantum-dot cavity quantum electrodynamics systems.
Recent proposals and advances in quantum simulations, quantum cryptography, and quantum communications substantially rely on quantum entanglement formation. Contrary to the conventional wisdom that dissipation destroys quantum coherence, coupling with a dissipative environment can also generate entanglement. We consider a system composed of two quantum-dot qubits coupled with a common, damped surface plasmon mode; each quantum dot is also coupled to a separate photonic cavity mode. Cavity quantum electrodynamics calculations show that upon optical excitation by a femtosecond laser pulse, entanglement of the quantum-dot excitons occurs, and the time evolution of the g(2){g}^{(2)}g(2) pair correlation function of the cavity photons is an indicator of the entanglement. We also show that the degree of entanglement is conserved during the time evolution of the system. Furthermore, if coupling of the photonic cavity and quantum-dot modes is large enough, the quantum-dot entanglement can be transferred to the cavity modes to increase the overall entanglement lifetime. This latter phenomenon can be viewed as a signature of entangled, long-lived quantum-dot exciton-polariton formation. The preservation of total entanglement in the strong-coupling limit of the cavity--quantum-dot interactions suggests a novel means of entanglement storage and manipulation in high-quality optical cavities.
Abstract A Quantum dot implanted within double-sided optical microcavity is explained and established as a critical component for all optical-based quantum internets. Due to the duality as the photonic quantum transistor and gate, the QD cavity system presents a sturdy base for the future photonic quantum network. With the help of the analytical investigation and review presented in this paper, a quantum dot cavity unit can be developed for implementing deterministic quantum gates and transistors. The maximum fidelity observed for quantum diode, router, and storage is 95.24%, 62.06%, and 90.42% without considering a noisy environment, respectively, and 62.12%, 60.36%, and 43.66% under a noisy environment, respectively. Fidelity is also calculated with varying coupling conditions (strong and weak coupling), and optimized cavity parameters are calculated. The paper also reports the work done by various researchers till date.
We discuss generation of two types of entangled states of two photons: noon state, which is entangled in number and polarization, and polarization-entangled state, which is entangled in polarization and frequency. We consider a single quantum dot coupled with a bimodal cavity in a strong coupling regime. We analyze the effect of exciton–phonon coupling on concurrence of the generated entangled states. We find that for both states, concurrence is maximum in the absence of an anisotropic energy gap between exciton states and remains unchanged in the presence of exciton–phonon coupling. However, for finite anisotropic, energy gap concurrence decreases with increasing temperature of the phonon bath.