# High Success Perfect Transmission of 1-Qubit Information Using   Purposefully Delayed Sharing of Non-Maximally Entangled 2-Qubit Resource and   Repeated Generalized Bell-State Measurements ?

**Authors:** Shamiya Javed, Ranjana Prakash, Hari Prakash

arXiv: 1902.03403 · 2021-01-01

## TL;DR

This paper introduces a probabilistic quantum teleportation scheme that achieves high success probability and perfect fidelity for 1-qubit transmission using repeated generalized Bell-state measurements on a non-maximally entangled resource, with success probability increasing with attempts.

## Contribution

The paper presents a novel protocol utilizing repeated GBSM and delayed sharing to enhance success probability of quantum teleportation with non-maximally entangled states.

## Key findings

- Success probability increases with the number of GBSM attempts.
- Maximal average fidelity approaches unity with repeated measurements.
- Scheme achieves perfect fidelity with high success probability.

## Abstract

We propose a new scheme in which perfect transmission of 1-qubit information is achieved with high success using purposefully delayed sharing of non-maximally entangled 2-qubit resource and repeated generalized Bell-state measurements (GBSM). Alice possesses initially all qubits and she makes repeated GBSM on the pair of qubits, consisting of (1) the qubit of information state and (2) one of the two entangled resource qubits (taken alternately) until transmission with perfect fidelity is indicated. Alice then sends to Bob, the qubit not used in the last GBSM and also the result of this GBSM and Bob applies a suitable unitary transformation to replicate exactly the information state. We calculate the success probability up to 3rd repeated attempt of GBSM and plot it with concurrence of the entangled resource state. We also discuss the maximal average fidelity. Keywords: Probabilistic quantum teleportation, Non-maximally entangled state, Generalized Bell state measurement.

## Full text

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## Figures

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## References

32 references — full list in the complete paper: https://tomesphere.com/paper/1902.03403/full.md

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Source: https://tomesphere.com/paper/1902.03403