Performance of dense coding and teleportation for random states: Augmentation via preprocessing

Device-Independent Quantum Key Distribution Using Random Quantum States

“…We investigate the performance of the random states based on the above mentioned quantities. As observed from previous studies [23], the number of resourceful state decreases as the rank increases. For a particular rank, the fraction of Bell-nonlocal states is lower than that of entangled states, exemplifying the hierarchy of these correlations for a large number of random states [28].…”

“…Rank-4: Mixed two-qubit density matrices of rank-4 are generated from random quadripartite pure states in 2 ⊗ 2 ⊗ 2 ⊗ 2 by tracing out any two of the four qubits [23,25].…”

“…Moreover, against the intuition of observing random behavior, it has been found that random states exhibit some universal features. Examples include the performance of random states for certain communication tasks wherein it has been shown that the dense coding capacity as well as the teleportation fidelity decrease with increase in the rank of randomly generated states [23].…”

Statistics of Entanglement Transformation with Hierarchies among Catalysts

“…In particular, it was demonstrated that most of the typical states become highly multiparty entangled with an increase of the number of parties. Moreover, these states have also been used to disprove the additivity of minimal output entropy [41], to obtain the maximal purity in k-uniform states with N parties [42], in showing constructive feedback in presence of a non-Markovian noisy environment [43], putting restriction on classical correlation [44], and analysing power of teleportation and densecodability of bipartite channels [45]. For our purpose, we are interested in bipartite pure states of arbitrary dimensions chosen at random with respect to the uniform measure, called Haar measure, on the unit sphere in a finitedimensional Hilbert space that is invariant under all unitary transformations.…”

Significance of Fidelity Deviation in Continuous Variable Teleportation

“…Quantum teleportation (QT), discovered in 1993 [1] is unmistakably one of the remarkable pieces of sorcery that quantum mechanics makes possible. After its proposal, it has tasted unprecedented levels of success both theoretically [2][3][4][5][6][7] and experimentally [8][9][10][11][12][13][14][15][16][17] in its mere two decade long existence. The latest feather in the cap of experimental QT is undoubtedly the satellite-based setups that give rise to a possibility of realizing quantum information transmission at intercontinental distances [16,18,19].…”