Bipartite mixed states as quantum teleportation channels studied under
coherent and incoherent basis
- URL: http://arxiv.org/abs/2206.08074v1
- Date: Thu, 16 Jun 2022 10:40:49 GMT
- Title: Bipartite mixed states as quantum teleportation channels studied under
coherent and incoherent basis
- Authors: Sovik Roy, Anushree Bhattacharjee, Chandrashekar Radhakrishnan, Md.
Manirul Ali, Biplab Ghosh
- Abstract summary: We show that the right choice of basis to be used to estimate coherence is the separable basis.
We compute the entanglement and quantum coherence in the two qubit mixed states prepared using the Bell states and one of the state from the computational basis.
We then calculate the teleportation of these mixed states and find the regions where the states have a fidelity greater than the classical teleportation fidelity.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum coherence and quantum entanglement are two different manifestations
of the superposition principle. In this article we show that the right choice
of basis to be used to estimate coherence is the separable basis. The quantum
coherence estimated using the Bell basis does not represent the coherence in
the system, since there is a coherence in the sytem due to the choice of the
basis state. We first compute the entanglement and quantum coherence in the two
qubit mixed states prepared using the Bell states and one of the state from the
computational basis. The quantum coherence is estimated using the l1-norm of
coherence, the entanglement is measured using the concurrence and the mixedness
is measured using the linear entropy. Then we estimate these quantities in the
Bell basis and establish that coherence should be measured only in separable
basis, whereas entanglement and mixedness can be measured in any basis. We then
calculate the teleportation of these mixed states and find the regions where
the states have a fidelity greater than the classical teleportation fidelity.
We also examine the violation of the Bell-CHSH inequality to verify the quantum
nonlocal correlations in the system. The estimation of the above mentioned
quantum correlations, teleportation fidelity and the verification of Bell-CHSH
inequality is also done for bipartite states obtained from the tripartite
systems by the tracing out of one of their qubits. We find that for some of
these states teleportation is possible even when the Bell-CHSH inequality is
not violated, signifying that nonlocality is not a necessary condition for
quantum teleportation.
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