Abstract:The frequency estimation of an optical cavity field suffering from an unavoidable dissipative environment is investigated. Generally, dissipative noise significantly reduces the precision. Here, it is found that two‐photon driving can improve measurement precision by resisting the noise. Moreover, over a long duration, the frequency uncertainty can be minimized with the right magnitude of the parametric two‐photon drive, which is in sharp contrast to the uncertainty tending to infinity without two‐photon drivi… Show more
“…For example, correlated Pauli noise channel with memory of consecutive actions could be considered [73,74], which can enhance the coherence of multiqubit states [75,76]. The detrimental noise could also be suppressed by two-photon driving [77], or through the improvement of entangled states by quantum-junp-based feedback [78].…”
Joint remote state preparation is an important method to transmit quantum information with more senders and higher security. In this paper, we present a deterministic joint remote state preparation scheme in multi-hop network with two senders and $N$ intermediate parties, using only projective measurements and recovery operations. We describe the scheme under the framework of density matrix to investigate the performance of the scheme in noisy environment. The relation of fidelity, noise rate and the number of intermediate nodes is given for three types of noise. It is revealed that the average fidelity attains its minimum when the noise rate is at the most uncertain point, decreases monotonically as the number of intermediate nodes increases. However, in some special cases, the average fidelity of the multi-hop scheme is greater than some existing one step joint remote state preparation scheme.
“…For example, correlated Pauli noise channel with memory of consecutive actions could be considered [73,74], which can enhance the coherence of multiqubit states [75,76]. The detrimental noise could also be suppressed by two-photon driving [77], or through the improvement of entangled states by quantum-junp-based feedback [78].…”
Joint remote state preparation is an important method to transmit quantum information with more senders and higher security. In this paper, we present a deterministic joint remote state preparation scheme in multi-hop network with two senders and $N$ intermediate parties, using only projective measurements and recovery operations. We describe the scheme under the framework of density matrix to investigate the performance of the scheme in noisy environment. The relation of fidelity, noise rate and the number of intermediate nodes is given for three types of noise. It is revealed that the average fidelity attains its minimum when the noise rate is at the most uncertain point, decreases monotonically as the number of intermediate nodes increases. However, in some special cases, the average fidelity of the multi-hop scheme is greater than some existing one step joint remote state preparation scheme.
“…However, it does not mean that the measurement uncertainty of ω 1 will be 0 in its physical condition. Quantum fluctuations [22,23] and statistical noises [24] have shown to be strong at the exceptional point. In addition, the time required to prepare the system steady-state will diverge at the exceptional point.…”
Section: Model Of Cavity Magnonics Systemmentioning
We investigate the parameter estimation in a magnon-cavity-magnon coupled system. PT symmetrical two magnons system can be formed in the gain magnetic materials by the adiabatic elimination of the cavity field mode. We show that the optimal estimation will not appear at the exceptional point due to that the quantum fluctuations are the strongest at the exceptional point. Moreover, we demonstrate that the measurements at the exceptional point tend to be optimal with the increase of prepared time. And the direct photon detection is the optimal measurement for the initial state in the vacuum input state. For the open PT symmetrical two magnons system, the quantum fluctuations will greatly reduce the degree of entanglement. Finally, we show that a higher estimated magnetic sensitivity can be obtained by measuring the frequency of one magnon in the PT symmetrical two magnons system.
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