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Anushree Pandey

Publications and source records attributed to Anushree Pandey.

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Interplay between teleportation fidelity and basis-independent coherence in maximally sliced states under decoherence

The influence of environmental decoherence on quantum teleportation is investigated by considering the three-qubit Maximally Sliced (MS) state as the shared entangled resource. Using the Kraus operator formalism, analytical expressions are derived for the teleportation fidelity under amplitude damping and phase damping channels. The corresponding basis-independent coherence is obtained, establishing explicit analytical relations between coherence and teleportation fidelity under both decoherence mechanisms. The results are further expressed in terms of the Coffman-Kundu-Wootters (CKW) three-tangle, thereby connecting genuine tripartite entanglement with teleportation performance. The analysis reveals distinct effects of the two noise channels: amplitude damping introduces a state-dependent threshold for achieving quantum teleportation, whereas phase damping preserves the quantum advantage until complete dephasing. These results provide a unified analytical framework for understanding the interplay among multipartite entanglement, quantum coherence and teleportation in noisy three-qubit MS states.

quant-ph

Unitary and non-unitary operators leverage perfect and imperfect single qutrit teleportation

Teleportation, a novel scheme, initially posited by Bennett \textit{et.al}, has been studied here in the context of sending a single qutrit from Alice to Bob using two qutrit entangled channels as resources. In this paper we have considered two special two qutrit entangled states, which belong to $SU(3)$ group, as useful resources for teleportation. For the successful teleportation, these entangled states have been chosen as quantum channels shared between Alice and Bob. Another entangled basis of two qutrit states have been used as auxiliary states, which would help Alice to manipulate with her channel so that the single qutrit she holds can be successfully teleported to Bob. Bob's choices of measurement operators influence the retrieval of Alice's single qutrit.

quant-ph

Teleportation of unknown qubit via Star type tripartite states

Eylee Jung \textit{et.al}\cite{jung2008} had conjectured that $P_{max}=\frac{1}{2}$ is a necessary and sufficient condition for the perfect two-party teleportation and consequently the Groverian measure of entanglement for the entanglement resource must be $\frac{1}{\sqrt{2}}$. It is also known that prototype $W$ state is not useful for standard teleportation. Agrawal and Pati\cite{pati2006} have successfully executed perfect (standard) teleportation with non-prototype $W$ state. Aligned with Pati's protocol\cite{pati2006} we have considered here $Star$ type tripartite states and have shown that perfect teleportation is suitable with such states. Moreover, we have taken the linear superposition of non-prototype $W$ state and its spin-flipped version and shown that it belongs to $Star$ class. Also, standard teleportation is possible with these states. It is observed that genuine tripartite entanglement is not necessary requirement for a state to be used as a channel for successful standard teleportation. We have also shown that these $Star$ class states are $P_{max}=\frac{1}{4}$ states and their Groverian entanglement is $\frac{\sqrt{3}}{2}$, thus concluding that Jung conjecture is not a necessary condition.

quant-ph

Non-maximally entangled mixed states of X and non-X types as teleportation channels

Mixed spin-1/2 states violating Bell-CHSH inequality is useful for teleportation. There exist states which do not violate Bell-inequality but is still useful as teleportation channels. Maximally entangled mixed states of Munro class and Ishizaka-Hiroshima class are such types which although satisfy Bell-CHSH inequality, yet can perform better as teleportation channels for a given degree of mixedness\cite{adhikari2010}. In this work we construct class of mixed states of non-maximally entangled types whose efficacy as teleportation channels have been studied. For certain range of state parameters, these non-maximally entangled mixed states performs better as quantum teleportation channels than certain maximally entangled mixed states (such as Werner state). These constructed states, though entangled, satisfy Bell-CHSH inequality implying further that violation of local inequalities may not be good indicators of their ability to complete quantum processing tasks such as teleportation.

quant-ph

Teleporting single qutrit using symmetric-anti symmetric two-qutrit basis states as quantum channels

This work presents a deterministic scheme for the teleportation of a single qutrit state, held by the sender Alice, using maximally entangled two-qutrit states as resource channels. These states have been constructed from symmetric and anti-symmetric bases by Leslie, Devin and Lynn (LDL). Leveraging the higher information capacity of qutrits compared to qubits, we employ these nine distinct two-qutrit entangled channels by LDL, for our protocol. For each channel, explicit unitary operations at the receiver Bob's end are derived, ensuring perfect recovery of the unknown qutrit state, initially in possesion of the sender Alice, after the sender performs joint measurements on her qutrits and communicates the outcomes through a classical channel. The proposed framework confirms teleportation with unit fidelity, thereby extending conventional teleportation schemes beyond qubits into higher-dimensional systems. This not only enriches the available toolkit for quantum communication but also highlights the utility of structured entangled states in advancing quantum information processing. The results open new avenues for secure and efficient quantum networks, higher-dimensional cryptographic schemes, and the design of novel quantum algorithms, while laying the groundwork for experimental realizations of deterministic qutrit teleportation.

quant-ph