Investigating quantum metrology in noisy channels

Falaye, Babatunde J.; Adepoju, Adenike Grace; Aliyu, Abubakar Sadiq; Melchor, Magdalena Marciano; Liman, Muhammad Sanusi; Oluwadare, O. J.; Ramírez, Marlon David González; Oyewumi, K. J.

doi:10.1038/s41598-017-16710-w

Cited by 12 publications

(12 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We would like to mention, the increase of QFI with increasing noise in the system is similar to that of the GHZ states under amplitude damping noise, first demonstrated in [32]. Further such examples can be found in [39], in the case of bit-phase flip noise applied to the GHZ states. It will be interesting to see if the gain achieved by the presented protocol is retained by further complex noises, as an interesting line of further research.…”

Section: Discussionsupporting

confidence: 53%

Remote State Design for Efficient Quantum Metrology with Separable and Non-Teleporting States

2021

View full text Add to dashboard Cite

Measurements leading to the collapse of states and the non-local quantum correlations are the key to all applications of quantum mechanics as well as in the studies of quantum foundation. The former is crucial for quantum parameter estimation, which is greatly affected by the physical environment and the measurement scheme itself. Its quantification is necessary to find efficient measurement schemes and circumvent the non-desirable environmental effects. This has led to the intense investigation of quantum metrology, extending the Cramér–Rao bound to the quantum domain through quantum Fisher information. Among all quantum states, the separable ones have the least quantumness; being devoid of the fragile non-local correlations, the component states remain unaffected in local operations performed by any of the parties. Therefore, using these states for the remote design of quantum states with high quantum Fisher information can have diverse applications in quantum information processing; accurate parameter estimation being a prominent example, as the quantum information extraction solely depends on it. Here, we demonstrate that these separable states with the least quantumness can be made extremely useful in parameter estimation tasks, and further show even in the case of the shared channel inflicted with the amplitude damping noise and phase flip noise, there is a gain in Quantum Fisher information (QFI). We subsequently pointed out that the symmetric W states, incapable of perfectly teleporting an unknown quantum state, are highly effective for remotely designing quantum states with high quantum Fisher information.

show abstract

Section: Discussionsupporting

confidence: 53%

Remote State Design for Efficient Quantum Metrology with Separable and Non-Teleporting States

2021

View full text Add to dashboard Cite

show abstract

“…As we observed in subsection IV G, in the absence of noise, the Heisenberg limit can be achieved through rotations along the Z direction. For a phase noise channel, the decreases with increasing decoherence rate due to information leak to the environment, although it can exhibit revivals 231 . For an amplitude damping channel, the can be enhanced by adjusting the temperature of the environment.…”

Section: A Metrology In Noisy Quantum Channelsmentioning

confidence: 99%

Geometric perspective on quantum parameter estimation

Sidhu

Kok

2020

AVS Quantum Science

187

132

View full text Add to dashboard Cite

Quantum metrology holds the promise of an early practical application of quantum technologies, in which measurements of physical quantities can be made with much greater precision than what is achievable with classical technologies. In this review, we collect some of the key theoretical results in quantum parameter estimation by presenting the theory for the quantum estimation of a single parameter, multiple parameters, and optical estimation using Gaussian states. We give an overview of results in areas of current research interest, such as Bayesian quantum estimation, noisy quantum metrology, and distributed quantum sensing. We address the question how minimum measurement errors can be achieved using entanglement as well as more general quantum states. This review is presented from a geometric perspective. This has the advantage that it unifies a wide variety of estimation procedures and strategies, thus providing a more intuitive big picture of quantum parameter estimation. CONTENTS

show abstract

“…Moreover, finding an optimal strategy for estimating multiple phases under different types of noise effect would be useful for various practical applications. [47,[53][54][55]…”

Section: Discussionmentioning

confidence: 99%

Practical Sensitivity Bound for Multiple Phase Estimation with Multi‐Mode N00N$N00N$ States

Hong

Rehman

Kim

et al. 2022

Laser & Photonics Reviews

View full text Add to dashboard Cite

Quantum enhanced multiple phase estimation is essential for various applications in quantum sensors and imaging. For multiple phase estimation, the sensitivity enhancement is dependent on both quantum probe states and measurement. It is known that multi‐mode N00N$N00N$ states can outperform other probe states for estimating multiple phases. However, it is generally not feasible in practice to implement an optimal measurement to achieve the quantum Cramer–Rao bound (QCRB) under a practical measurement scheme using a multi‐mode beam splitter in interferometric phase estimation. Here, a strategy to achieve the best practical sensitivity by optimizing both mode‐amplitudes of multi‐mode N00N$N00N$ states and a split ratio of a multi‐mode beam splitter is investigated. Then, it is experimentally demonstrated that the best sensitivity is achieved when an amplitude‐balanced multi‐mode N00N$N00N$ state and a multi‐mode beam splitter with an unbalanced ratio are used in three‐mode interferometric phase estimation. The results show that the lower QCRB cannot guarantee better sensitivity under a practical measurement scheme, thus it is more desirable to enhance the practical sensitivity rather than the QCRB. It is believed that this strategy can provide a powerful tool for practical applications in multiple phase estimation.

show abstract

Investigating quantum metrology in noisy channels

Cited by 12 publications

References 55 publications

Remote State Design for Efficient Quantum Metrology with Separable and Non-Teleporting States

Remote State Design for Efficient Quantum Metrology with Separable and Non-Teleporting States

Geometric perspective on quantum parameter estimation

Practical Sensitivity Bound for Multiple Phase Estimation with Multi‐Mode N00N$N00N$ States

Contact Info

Product

Resources

About