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Physical Review B

Quantum dot as a resource for teleportation and state swapping

Keng Wah Choo, L. C. Kwek

Published May 14, 2007• 9 citations
Publisher

Abstract

We studied the use of quantum dots as a resource for teleportation and investigated how entanglement of the resource would affect the average fidelity of such a process. We then identified a suitable magnetic field, interdot distance, and the temperature to be used to achieve an average fidelity beyond the limit of the classical communication channel. We also explored the effects of decoherence on the teleportation process. We then investigated the state transfer or swapping between two quantum dots. We found that perfect quantum swap is possible in this system. A smaller magnetic field and interdot distance shortened the perfect state transfer time. Finally, we report on the performance of the system under different decoherence models.

DOI
10.1103/physrevb.75.205321

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We studied the use of quantum dots as a resource for teleportation and investigated how entanglement of the resource would affect the average fidelity of such a process. We then identified a suitable magnetic field, interdot distance, and the temperature to be used to achieve an average fidelity beyond the limit of the classical communication channel. We also explored the effects of decoherence on the teleportation process. We then investigated the state transfer or swapping between two quantum dots. We found that perfect quantum swap is possible in this system. A smaller magnetic field and interdot distance shortened the perfect state transfer time. Finally, we report on the performance of the system under different decoherence models.
We study the thermal entanglement and quantum teleportation using quantum dot as a resource. We first consider entanglement of the resource, and then focus on the effects of different parameters on the teleportation fidelity under different conditions. The critical temperature of disentanglement is obtained. Based on Bell measurements in two subspaces, we find the anisotropy measurements is optimal to the isotropy arising from the entangled eigenstates of the system in the anisotropy subspace. In addition, it is shown that the anisotropy transmission fidelity is very high and stable for quantum dot as quantum channel when the parameters are adjusted. The possible applications of quantum dot are expected in the quantum teleportation.
Quantum channel teleporting one party of a bipartite entangled state is considered. It is assumed that resource is coupled to thermal decohering (dissipative and/or pure dephasing) environment. We investigate both the fidelity of the channel and its ability to swap the initial correlation to the final state of the system in which subsystems did not interact directly. We qualify the correlations by negativity and quantum discord. We show that the correlation loss defined as a difference between values of the correlation measure for the teleported state and the resource vanishes for certain choice of parameters at certain time instants. Moreover, the perfect transmission of entanglement takes place in the case when the resource qubits have the same energy splitting.
Quantum teleportation, a fundamental protocol in quantum information science, enables the transfer of quantum states through entangled particle pairs and classical communication channels. While ideal quantum teleportation requires maximally entangled states as resources, real-world implementations inevitably face environmental noise and decoherence effects. In this work, we investigate quantum teleportation in nonequilibrium environments with different temperatures or chemical potentials. We employ the Bloch-Redfield equation to characterize the nonequilibrium dynamics in both bosonic and fermionic reservoirs. Our analysis reveals that nonequilibrium conditions, namely, the temperature difference and chemical potential difference, can significantly enhance the teleportation fidelity beyond what is achievable in equilibrium scenarios. Notably, under certain nonequilibrium conditions, the fidelities for all input states converge to the same value. We term this behavior the teleportation with a fixed-point fidelity. Importantly, at this fixed point, fidelity can be further enhanced by tuning the nonequilibrium parameters. These findings offer crucial insights for the implementation of quantum communication protocols in realistic environments, demonstrating that nonequilibrium conditions not only improve the fidelity but also present a promising avenue for simplifying practical quantum teleportation schemes.
We study the activation of entanglement in teleportation protocols. To this end, we a present derivation of the average fidelity of teleportation process with noisy classical channel for qudits. In our work we do not make any assumptions about the entangled states shared by communicating parties. Our result allows us to specify the minimum amount of classical information required to beat the classical limit when the protocol is based on the Bell measurements. We also compare average fidelity of teleportation obtained using noisy and perfect classical channel with restricted capacity. The most important insight into the intricacies of quantum information theory that we gain is that though entanglement, obviously, is a necessary resource for efficient teleportation it requires a certain threshold amount of classical communication to be more useful than classical communication. Another interesting finding is that the amount of classical communication required to activate entanglement for teleportation purposes depends on the dimension d of the system being teleported but is not monotonic reaching maximum for d = 4.
Abstract Efficient all-photonic quantum teleportation requires fast and deterministic sources of highly indistinguishable and entangled photons. Solid-state-based quantum emitters—notably semiconductor quantum dots—are a promising candidate for the role. However, despite the remarkable progress in nanofabrication, proof-of-concept demonstrations of quantum teleportation have highlighted that imperfections of the emitter still place a major roadblock in the way of applications. Here, rather than focusing on source optimization strategies, we deal with imperfections and study different teleportation protocols with the goal of identifying the one with maximal teleportation fidelity. Using a quantum dot with sub-par values of entanglement and photon indistinguishability, we show that the average teleportation fidelity can be raised from below the classical limit to 0.842(14), adopting a polarization-selective Bell state measurement and moderate spectral filtering. Our results, which are backed by a theoretical model that quantitatively explains the experimental findings, loosen the very stringent requirements set on the ideal entangled-photon source and highlight that imperfect quantum dots can still have a say in teleportation-based quantum communication architectures.
We propose a scheme for generating NNN-qubit entangled states which can teleport an unknown state perfectly. By switching on the exchange interaction (J)(J)(J) between the qubits one can get the desired states periodically. A multielectron quantum dot can be a possible realization for generating such NNN-qubit states with high fidelity. It is shown that, in the limit of $N\ensuremath{\rightarrow}\ensuremath{\infty}$, there exists a unique time $t=\frac{2}{3J}{\mathrm{cos}}^{\ensuremath{-}1}(\ensuremath{-}1∕8)$, where the Hamiltonian dynamics gives the NNN-qubit state that can carry out perfect teleportation. We also discussed the effect of the nuclear spin environment on the entanglement of the NNN-qubit teleportation channels.