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Quantum teleportation by utilizing helical spin chains for sharing entanglement

Harshit Verma, Levan Chotorlishvili, Jamal Berakdar, Sunil Kumar Mishra

TL;DR

It is shown that the kicking scheme in conjugation with the optimized parameters enhances the fidelity of teleportation even in the presence of impurities and/or decoherence.

Abstract

We develop a new protocol for sharing entanglement (one ebit) between two parties using the natural dynamics of helical multiferroic spin chains. We introduce a novel kicking scheme of the electric field for enhancing the teleportation fidelity in our protocol that works in the presence of an appropriate choice of parameters. We also investigate the effect of a common spin environment causing decoherence in the entanglement sharing channel. We compare the results to that of XXZ and XX models subject to a similar entanglement sharing protocol and find that the helical multiferroic chain with the kicking scheme provides a better singlet fraction. We show that the kicking scheme in conjugation with the optimized parameters enhances the fidelity of teleportation even in the presence of impurities and/or decoherence. The advantage of the kicking scheme shown in the impurity cases is an important result to be useful in a realizable setup of helical multiferroic spin chain.

Quantum teleportation by utilizing helical spin chains for sharing entanglement

TL;DR

It is shown that the kicking scheme in conjugation with the optimized parameters enhances the fidelity of teleportation even in the presence of impurities and/or decoherence.

Abstract

We develop a new protocol for sharing entanglement (one ebit) between two parties using the natural dynamics of helical multiferroic spin chains. We introduce a novel kicking scheme of the electric field for enhancing the teleportation fidelity in our protocol that works in the presence of an appropriate choice of parameters. We also investigate the effect of a common spin environment causing decoherence in the entanglement sharing channel. We compare the results to that of XXZ and XX models subject to a similar entanglement sharing protocol and find that the helical multiferroic chain with the kicking scheme provides a better singlet fraction. We show that the kicking scheme in conjugation with the optimized parameters enhances the fidelity of teleportation even in the presence of impurities and/or decoherence. The advantage of the kicking scheme shown in the impurity cases is an important result to be useful in a realizable setup of helical multiferroic spin chain.

Paper Structure

This paper contains 8 sections, 24 equations, 12 figures.

Table of Contents

  1. Introduction
  2. Models
  3. Quantum Teleportation Fidelity
  4. Singlet fraction with uniform spin environment
  5. Numerical results for kicked and unkicked multiferroic chains
  6. Comparison with XX and XXZ models
  7. Effect of impurities
  8. Conclusions

Figures (12)

  • Figure 1: The train of pulses and the notation of the kicking scheme used in the manuscript.
  • Figure 2: Schematic showing the spin chain system with the sender sites marked by s$_1$, s$_2$ and receiver sites by r$_1$, r$_2$. A Bell pair is generated at s$_1$, s$_2$ and we expect to use the entanglement available at r$_1$, r$_2$ at a later time for quantum teleportation.
  • Figure 3: Schematic showing the effect of introduction of Type I and Type II impurities in the spin chain. The interactions which are marked ($J_{11}/J_{22}/J_{111}/J_{222}$) undergo deviation from normal interactions which are $J_1$ and $J_2$. (A) shows a normal spin chain with no embedded impurity. (B) shows a spin chain with Type I impurity embedded in its middle. (C) shows a spin chain with Type II impurity embedded in its middle.
  • Figure 5: The process of using local gates in the middle of the initialized spin chain to prepare a Bell pair which then propagates.
  • Figure 6:
  • ...and 7 more figures