controlled quantum teleportation involves a third party as a controller for the teleportation of state. Here, we present the novel protocols for controlling teleportation of the arbitrary two-qubit and three-qubit states through five-qubit and seven-qubit cluster states respectively. In these schemes, Alice sends the arbitrary qubit states to the remote receiver Bob through the cluster states as quantum channels under the control of charlie. Bob can recover the mentioned states by making appropriate unitary operations, and we point out that the efficiency in our schemes is 100%. In the process of our analysis, we find the classical communication cost in our protocols is remarkably reduced when compared to the previous protocols. We perform the experimental realization of the above protocols on "IBM 16 Melbourne" quantum computer and "IBM quantum simulator" and we calculate the fidelity. We also examine the security analysis against Charlie, and these schemes which we considered here are secure against charlie's attacks. Following the idea of Bennett et al. 1,2 on quantum teleportation, we use entanglement 3 for the quantum communication protocols 4-19. Such as teleportation of qubits 20 , quantum key distribution (QKD) 21,22 , quantum secret sharing 23,24 , etc. 25-34 Entanglement can be seen in many states likes Bell states 35,36 , GHZ states 37 , and W states 38,39 , and so far several measures have been proposed to quantify entanglement 40-45. Various research works have been developed in the field of multi-party quantum teleportation 46-48. As far as we know, the first quantum teleportation between three parties is proposed by Karlsson et al. 49 in 1998 using GHZ state. Also, Dong et al. 50 performed a controlled communication between the three-party using GHZ state and imperfect Bell state measurement. Furthermore, Hassanpour et al. 51 performed controlled quantum secure direct communication protocol using GHZ-like states. Quantum teleportation involving cluster states 7,52-55 is a multiparty protocol. Cluster states are a kind of highly entangled quantum states, and they can be prepared in the following ways: (a) Cluster states can be generated in lattices of spin qubits by interacting them with "Ising type Hamiltonian" 56 , (b) Cluster states can be generated by spontaneous parametric down-conversion involving photon polarization and non-linear optics 57. (c) The cluster states are considered as a particular case of graph states 58-61. Cluster states have great importance over quantum teleportation, and they can be used for one-way quantum computing 55,57 , bidirectional quantum computing 62 , and cyclic quantum computing 63. In our protocols, we use the cluster states as a one-way quantum computing channel. Quantum correlation is used as a resource to establish entanglement between the particles. For an entangled state, the entanglement of formation 42 specifies the amount of resource used to generate the particular entanglement between the particles. The amount of resource used for generating entanglemen...

In recent decades, various multipartite entanglement measures have been proposed by many researchers, with different characteristics.Meanwhile, Scott studied various interesting aspects of multipartite entanglement measures and he has defined a class of related multipartite entanglement measures in an obvious manner. Recently, Jafarpour et al.(Int. J. Quantum Inform. 13, 1550047 2015) have calculated the entanglement quantity of twodimensional 5-site spin system by means of Scott measure. As it was presented in their calculation Q 2 > Q 3 . In this paper, we would like to point out that in the 5-qudit system, Q 2 does not provide a stronger entanglement than Q 3 , while there is a simple relation between them.

The one-qubit teleportation protocol is one of the most well-known topics of quantum information theory. Indeed, the goal of this quantum protocol is to teleport an arbitrary quantum state. Herein, we investigate the entropic uncertainty relation in the presence of quantum memory (EUR-QM), quantum discord (QD), and fidelity of teleportation under dephasing, dissipative, and noisy environments. We relate the EUR-QM to QD and quantum teleportation and show analytically that there is a fully anti-correlated relation between QD and entropic uncertainty in a dephasing environment. In the process of our analysis, we also find an explicit relationship between the average fidelity of teleportation and the entropic uncertainty of the channel state. Significantly, the results report that the fidelity of teleportation and QD of the channel state are more stable and most efficiently under the influence of a dephasing environment than those under the influence of a dissipative or noisy environment. It turns out that under a dephasing environment, these results can be vital in practical goals where the maximum fidelity of teleportation and minimum uncertainty are required such as in quantum teleportation protocols and quantum computation.

The measurement precision for two incompatible observables in a typical quantum system can be improved by the aid of one particle as a quantum memory. In this work, we study the entropic uncertainty relation in the presence of quantum memory (EUR-QM) and dense coding capacity (DCC) for arbitrary two-qubit X-states, and then we obtain an explicit relationship between the lower bound of the uncertainty and DCC. As an example, we examine the thermal EUR-QM as well as DCC in two kinds of two-qubit spin squeezing models (one-axis twisting model and two-axis counter-twisting model) under an external magnetic field. In the following, we relate EUR-QM to DCC and show analytically that there is an anti-correlated relation between them, and especially in the ground state. Our results show that for both the models, the entropic uncertainty and its bound can be decreased by reinforcing the spin squeezing parameters or decreasing the temperature of the system. Notably, we reveal that the valid dense coding cannot carry out in the one-axis twisting model, nevertheless, if we properly choose the Hamiltonian parameters, the two-axis counter-twisting model not only carries out the valid dense coding but also the optimal dense coding surely can be achieved. Thereby, our observations might offer new insights into quantum measurement precision and the optimal dense coding for the regimes of various solid-state systems.