Remote sensing and faithful quantum teleportation through non-localized qubits

Quantum teleportation and phase quantum estimation in a two-qubit state influenced by dipole and symmetric cross interactions

“…which γ is the damping rate of the environment phase and i s + and i sare raising and lowering spin operators, respectively. Considering equations (1), ( 8)- (10) and obtained elements of density operator in appendix A, therefore one can obtain the extracted density matrix, for an XYZ Heisenberg chain model under the influence of atomic dipole and KSEWA interactions in phase damping, which is considered as a quantum teleportation channel (ρ ch (t) = ρ(t)), as follows:…”

“…One of the most important concepts of quantum mechanics that is used in quantum communication is quantum teleportation [1][2][3][4][5][6][7][8][9][10][11]. Quantum teleportation is a method in which two imaginary actors (Alice/Bob as sender/receiver) share a classical or non-classical channel so that Alice sends an unknown quantum state to Bob through the desired channel [12][13][14].…”

“…In the first scheme, a quantum probe, with a known initial state, enters a quantum channel [48] and encodes the desired parameter in its quantum state. In the second standard plan, the information related to the desired parameter is encoded in the quantum state of the system from the beginning, and then this information carrier is affected by a quantum channel; In both schemes, in the last step, measurements are made on the output state of the quantum channel to derive an estimate of the parameter using the measurement results [10]. In this study, we will follow the second scheme mentioned above, in which information is encoded in the phase parameter of the initial state of the system.…”

Estimating energy levels of a three-level atom in single and multi-parameter metrological schemes

“…Interestingly, employing quantum systems to estimate unknown parameters overcomes the precision limits that can be, in principle, achieved by applying only classical resources. This idea is at the heart of the continuously growing research area of quantum metrology aiming at reaching the ultimate fundamental bounds on the estimation precision by using quantum probes [9][10][11][12][13][14][15][16][17][18][19][20][21]. This field of research has attracted a great deal of interest in the last few years, leading to notable developments both theoretically and experimentally as reported in the previous review papers concerning quantum phase estimation problems [22] optical metrology [23][24][25][26][27], multiparameter estimation scenario [28][29][30][31], and metrological tasks performed by various physical systems [32][33][34].…”

Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness

“…Recently, Hilbert-Schmidt speed (HSS) [60], a measure of quantum statistical speed which has the advantage of avoiding diagonalization of the evolved density matrix, has been proposed and employed as a faithful witness of non-Markovianity in Hermitian systems [61][62][63][64] and an efficient tool in quantum metrology [65,66]. These studies are so far especially limited to low-dimensional systems, while high-dimensional ones have not been investigated in detail.…”