Tripartite non-maximally-entangled mixed states as a resource for optimally controlled quantum teleportation fidelity

  title={Tripartite non-maximally-entangled mixed states as a resource for optimally controlled quantum teleportation fidelity},
  author={K. G. Paulson and Prasanta K. Panigrahi},
  journal={Physical Review A},
Three-qubit mixed states are used as a channel for controlled quantum teleportation (CQT) of single-qubit states. The connection between different channel parameters to achieve maximum controlled teleportation fidelity is investigated. We show that for a given multipartite entanglement and mixedness, a class of non-maximally entangled mixed $X$ states ($X-$NMEMS) achieves optimum controlled quantum teleportation fidelity, interestingly a class of maximally entangled mixed $X$ states ($X-$MEMS… 
5 Citations

Figures from this paper

Remote State Design for Efficient Quantum Metrology with Separable and Non-Teleporting States
It is demonstrated that these separable states with the least quantumness can be made extremely useful in parameter estimation tasks, and further show even in the case of the shared channel inflicted with the amplitude damping noise and phase flip noise, there is a gain in Quantum Fisher information (QFI).
Ground state many-body quantum entanglement of frustrated transverse field models on square lattice
We study the ground state (GS) many-body quantum entanglement of two different transverse field models on a quasi-2D square lattice relevant to a Hydrogen-bonded crystal, i.e, squaric acid. We
Universal quantum circuit evaluation on encrypted data using probabilistic quantum homomorphic encryption scheme
A new kind of probabilistic quantum homomorphic encryption scheme for the universal quantum circuit evaluation, where the pre-shared non-maximally entangled states are utilized as auxiliary resources, which lower the requirements of the quantum channel to correct the errors in non-Clifford gate evaluation.
Hierarchy of quantum correlations under non-Markovian dynamics
This paper uses quantum correlations for implementing quantum teleportation successfully, and investigates how teleportation fidelity, violation of Bell-CHSH inequality, quantum steering and entanglement are connected with each other under the influence of noisy environments.


Generation of entangled channels for perfect teleportation using multielectron quantum dots
In this work we have proposed a scheme for generating $N$ qubit entangled states which can teleport an unknown state perfectly. By switching on the exchange interaction ($J$) between the qubits one
Control Power in Perfect Controlled Teleportation via Partially Entangled Channels
It is shown that the maximally entangled GHZ state is a suitable channel for controlled teleportation of arbitrary single qubits - the controller's power meets the bound and the teleportation fidelity without the Controller's permission is no better than the fidelity of a classical channel.
Demonstration of Controlled Quantum Teleportation for Discrete Variables on Linear Optical Devices.
It is shown that tripartite entanglement is not a necessary resource for controlled quantum teleportation, and the controller's capability to allow or prohibit the teleportation cannot be considered to be a manifestation of tripartites.
Maximally genuine multipartite entangled mixed X-states of N-qubits
For every possible spectrum of -dimensional density operators, we construct an N-qubit X-state of the same spectrum and maximal genuine multipartite (GM-) concurrence, hence characterizing a global
Localizable entanglement as a necessary resource of controlled quantum teleportation
It is shown that even mixed biseparable states are useful for this protocol along with genuine entangled three-qubit states.
Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state
We investigate the usefulness of a recently introduced five qubit state by Brown $\it et al. \normalfont$ \cite{Brown} for quantum teleportation, quantum state sharing and superdense coding. It is
Minimal control power of the controlled teleportation
We generalize the control power of a perfect controlled teleportation of an entangled three-qubit pure state, suggested by Li and Ghose [Phys. Rev. A 90, 052305 (2014)], to the control power of a
Maximally entangled set of multipartite quantum states.
The notion of the maximally entangled set (MES) of n-partite states, the set of states which are maximally useful under LOCC manipulation, is introduced and the measure-zero subset of the MES of LOCC convertible states is determined.
Hierarchy in loss of nonlocal correlations of two-qubit states in noisy environments
This work investigates the effect of noise on two-qubit states that exhibit higher-order nonlocal correlations and finds that loss of non local correlations in the presence of noise follows the same hierarchy, that is, higher- order nonlocal correlation disappears for small strength of noise, whereas lower-ordernonlocal correlations survive strong noisy environment.