Bidirectional teleportation using Fisher information

Abstract

In this contribution, we reformulated the bidirectional teleportation protocol suggested in Ref. 7, by means of Bloch vectors as well as the local operations are represented by using Pauli operators. Analytical and numerical calculations for the teleported state and Fisher information are introduced. It is shown that both quantities depend on the initial state settings of the teleported qubits and their triggers. The Fidelities and the Fisher information of the bidirectionally teleported states are maximized when the qubit and its trigger are polarized in the same direction. The minimum values are predicted if both initial qubits have different polarization or nonzero phase. The maximum values of the Fidelity and the quantum Fisher information are the same, but they are predicted at different polarization angles. We display that the multi-parameter form is much better than the single parameter form, where it satisfies the bounds of classical, entangled systems and the uncertainty principle.

Quantum illumination with noisy probes: Conditional advantages of non-Gaussianity

“…which is nothing but the signal strength of the entangled mixed state given in Eq. (19). It is evident from Fig.…”

“…Let us first consider the local noise models given in Eqs. (19) and (20). The robustness against noise is characterized by the maximum value of the mixing probability, p = p * , in Eq.…”

“…(Upper panel) The probes are noisy mixed states with p = 0.3 and Gaussian noise parameters σ1 = σ2 = 1 in Eq. (19). (Lower panel) The probes are pure non-Gaussian states.…”

“…The non-classical features offered by quantum mechanics have revolutionized the development of modern technologies, ranging from computation [1][2][3][4][5], communication [6][7][8][9][10][11][12] to metrology and memory devices [13], far superior to their classical counterparts. Remarkable protocols like quantum teleportation [14][15][16][17][18][19][20][21], dense coding [22][23][24][25][26][27][28][29], quantum key distribution [30][31][32][33][34] boost the communication sector both with and without security while in the computational domain, algorithms based on quantum mechanics were discovered which offer as much as exponential speedup compared to the known methods in a classical computer [35][36][37]. The enhancing performance in most of the schemes rely on the amount of quantum correlations (QCs) present in the system, establishing them as the resource [38] for quantum advantage.…”

Memory effect on the bidirectional teleportation

“…The teleportation fidelity quantifies the teleportation accuracy of the whole qubit state. However, the teleportation of information that is encoded in the weight parameter of the qubit instead of the whole state is quantified by means of the quantum Fisher information (QFI) [16]. Beside quantum teleportation, QF I is critical for parameter estimation, with a large QFI value corresponding to a high degree of parameter estimation [17,18].…”