Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state

Abstract

We investigate the usefulness of a recently introduced five qubit state by Brown et al .[1] for quantum teleportation, quantum state sharing and superdense coding. It is shown that this state can be utilized for perfect teleportation of arbitrary single and two qubit systems. We devise various schemes for quantum state sharing of an arbitrary single and two particle state via cooperative teleportation. We later show that this state can be used for superdense coding as well. It is found that five classical bits can be sent by sending only three quantum bits.

Quantum-information splitting using multipartite cluster states

“…Bob can perform a single partite Hadamard measurement in the basis 1 √ 2 (|0 ± |1 ) 4 and convey the outcome of his measurements to Charlie via 1 cbit of information. If Bob measures in the basis 1 √ 2 (|0 ± |1 ), then Charlie's state evolves into (α|00 ± β|11 ) 23 . Having, known the outcomes of both their measurements, Charlie can get the state (α|00 + β|11 ) 23 by performing an appropriate unitary operation on his qubits.…”

“…If Bob measures in the basis 1 √ 2 (|0 ± |1 ), then Charlie's state evolves into (α|00 ± β|11 ) 23 . Having, known the outcomes of both their measurements, Charlie can get the state (α|00 + β|11 ) 23 by performing an appropriate unitary operation on his qubits.…”

“…Later, we proposed a robust scheme [23], involving lesser number of particles for the splitting up of |ψ a and |ψ b . In this paper, we shall present alternate schemes for splitting up of arbitrary single and two qubit states using four and five partite cluster states and discuss its advantages over all the schemes known before.…”

Generation of entangled channels for perfect teleportation using multielectron quantum dots

“…A few of these classes, for example the cluster states have been experimentally prepared [1]. Because of the large space in N -qubit Hilbert space one can always find quantum states which can be good for teleporting a specific kind of unknown states [2,3].The usefulness of these states are further characterized by implementing other protocols, for example the quantum state sharing (QSS) [4]. Though many of the proposals have only a theoretical stand, very few received experimental importance.…”

A Resilient Quantum Secret Sharing Scheme

“…Further results related to quantum teleportation, that can be exploited in quantum secret sharing, include results using multipartite quantum channels such as tripartite GHZ state [8], four-partite GHZ state [16], an asymmetric W state [1] and the cluster state [3]. The perfect teleportation of an arbitrary two-qubit state was proposed using quantum channels formed by the tensor product of two Bell states [19], tensor product of two orthogonal states [22], genuinely entangled five qubit state [12], five qubit cluster state [11] and six qubit genuinely entangled states [10]. The idea of Quantum Secret Sharing (QSS) of a single qubit was first due to Hilery et al [7] using three and four qubit GHZ states.…”