Estimating the teleported initial parameters of a single- and two-qubit systems

Anouz, K. El; Allati, A. El; Metwally, N.; Mourabit, Taoufik

doi:10.1007/s00340-018-7122-7

Cited by 23 publications

(6 citation statements)

References 29 publications

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“…In other words, although the actual measurement process does not affect the upper bound of the precision, it affects the measurement precision. [31] Therefore, based on the no-knowledge feedback control, this paper investigates the influence of different feedback processes on the parameter estimation of a dissipative qubit.…”

Section: Quantum Fisher Informationmentioning

confidence: 99%

Optimal parameter estimation of open quantum systems*

2020

Chinese Phys. B

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In quantum information technologies, quantum weak measurement is beneficial for protecting coherence of systems. In order to further improve the protection effect of quantum weak measurement on coherence, we propose an optimization scheme of quantum Fisher information (QFI) protection in an open quantum system by combing no-knowledge quantum feedback control with quantum weak measurement. On the basis of solving the dynamic equations of a stochastic two-level quantum system under feedback control, we compare the effects of different feedback Hamiltonians on QFI and find that via no-knowledge quantum feedback, the observation operator σx (or σx and σz ) can protect QFI for a long time. Namely, no-knowledge quantum feedback can improve the estimation precision of feedback coefficient as well as that of detection coefficient.

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Section: Quantum Fisher Informationmentioning

confidence: 99%

Optimal parameter estimation of open quantum systems*

2020

Chinese Phys. B

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“…In order to measure the minimum amount of entanglement which is generated between the atom and the cavity, the final state Eq. ( 3) is projected in a 2 × 2 dimensions subspace [18]. In the 2-dimensions space, the atomic-field state is collapses to be,…”

Section: Suggested Modelmentioning

confidence: 99%

“…al. [18] evaluated QFI for a single atomic-field state which used as a quantum channel in quantum teleportation protocol. They showed that it's possible to estimating the teleported initial state parameters in resonance and non-resonance cases.…”

Section: Introductionmentioning

confidence: 99%

Teleportation two-qubit state by using two different protocols

2019

Self Cite

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In this contribution, two versions of teleportation protocol are considered, based on either using a single or two copies of entangled atom-field state, respectively. It is shown that, by using the first version, the fidelity of the teleported state as well as the amount of quantum Fisher information, that contains in the teleported state, are much better than using the second version. In general, one may increases the fidelity of teleported information by increasing the mean photon number and decreasing the detuning parameter. The fidelity of teleporting classical information is much better than teleporting quantum information. Moreover, teleportating classical information that initially encoded in an exited states is much better than that encodes in the ground states. However, the teleported Fisher information that initially encoded in a ground state is much larger than those initially encoded in entangled states.

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“…One of the most important concepts in quantum metrology is quantum fisher information (QFI) [17,18], which has been widely used in various fields, including quantum phase transition [19], quantum speed limit time [20], uncertainty relation [21]. QFI is a measure of the information carried by a measurement result on an unknown parameter [22].…”

Section: Introductionmentioning

confidence: 99%

Optimal superdense coding capacity in the non-Markovian regime

Aiache,

Al-Kuwari,

El Anouz

et al. 2024

J. Phys. A: Math. Theor.

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Superdense coding is a signiﬁcant technique widely used in quantum information processing. Indeed, it consists of sending two bits of classical information using a single qubit, leading to faster and more eﬃcient quantum communication. In this paper, we propose a model to evaluate the eﬀect of backﬂow information in a superdense coding protocol through a non-Markovian dynamics. The model considers a qubit interacting with a structured Markovian environment. In order to generate a non-Markovian dynamic, an auxiliary qubit contacts a Markovian reservoir in such a way that the non-Markovian regime can be induced. By varying the coupling strength between the central qubit and the auxiliary qubit, the two dynamical regimes can be switched interchangeably. An enhancement in non-Markovian eﬀects corresponds to an increase in this coupling strength. Furthermore, we conduct an examination of various parameters, namely temperature weight, and decoherence parameters in order to explore the behaviors of superdense coding, quantum Fisher information, and local quantum uncertainty using an exact calculation. The obtained results show a signiﬁcant relationship between non-classical correlations and quantum Fisher information since they behave similarly, allowing them to detect what is beyond entanglement. In addition, the presence of non-classical correlations enables us to detect the optimal superdense coding capacity in a non-Markovian regime.

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Estimating the teleported initial parameters of a single- and two-qubit systems

Cited by 23 publications

References 29 publications

Optimal parameter estimation of open quantum systems*

Optimal parameter estimation of open quantum systems*

Teleportation two-qubit state by using two different protocols

Optimal superdense coding capacity in the non-Markovian regime

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