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Quantum walk-based controlled quantum teleportation schemes under the effect of decoherence in Markovian and non-Markovian regimes

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Abstract

The introduction of quantum walk into quantum teleportation offers a new formation of entanglement between the position space and the coin space using a conditional shift operator. By considering discrete time quantum walks on the cycles, controlled quantum teleportation schemes which can teleport multiple qubits in the multi-dimensional Hilbert spaces are put forward. We also present a decoherence analysis of the proposed protocols in different environments containing dephasing, dissipative and noisy channels using Lindblad operators under the effect of Markovian and non-Markovian regimes.

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Authors and Affiliations

  1. Department of Electrical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

    Fahimeh Zarmehi & Siamak Talebi

  2. Department of Physics, Salman Farsi University of Kazerun, Kazerun, Iran

    Mohammad Reza Pourkarimi

Authors
  1. Fahimeh Zarmehi
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  2. Siamak Talebi
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  3. Mohammad Reza Pourkarimi
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Correspondence to Siamak Talebi.

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Appendix A

Appendix A

See Tables 3 and 4.

Table 3 Measurement results for CQT in the four-dimensional Hilbert space
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Table 4 Measurement results and the appropriate quantum operations for the proposed bidirectional teleportation
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Zarmehi, F., Talebi, S. & Pourkarimi, M.R. Quantum walk-based controlled quantum teleportation schemes under the effect of decoherence in Markovian and non-Markovian regimes. Quantum Inf Process 22, 436 (2023). https://doi.org/10.1007/s11128-023-04190-z

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