Quantum state estimation with nuisance parameters

J Suzuki, Y Yang, M Hayashi - Journal of Physics A: Mathematical …, 2020 - iopscience.iop.org
In parameter estimation, nuisance parameters refer to parameters that are not of interest but
nevertheless affect the precision of estimating other parameters of interest. For instance, the …

[BOOK][B] Quantum communication networks

R Bassoli, H Boche, C Deppe, R Ferrara, FHP Fitzek… - 2021 - Springer
Taking a quick look at this book, a reader might think: Oh, here comes another book on
quantum computing, quantum information theory, and quantum communications! This may …

Quantum metrology in the finite-sample regime

JJ Meyer, S Khatri, DS França, J Eisert… - arxiv preprint arxiv …, 2023 - arxiv.org
In quantum metrology, one of the major applications of quantum technologies, the ultimate
precision of estimating an unknown parameter is often stated in terms of the Cram\'er-Rao …

Attaining the ultimate precision limit in quantum state estimation

Y Yang, G Chiribella, M Hayashi - Communications in Mathematical …, 2019 - Springer
We derive a bound on the precision of state estimation for finite dimensional quantum
systems and prove its attainability in the generic case where the spectrum is non …

Quantum adaptive agents with efficient long-term memories

TJ Elliott, M Gu, AJP Garner, J Thompson - Physical Review X, 2022 - APS
Central to the success of adaptive systems is their ability to interpret signals from their
environment and respond accordingly—they act as agents interacting with their …

Efficient algorithms for quantum information bottleneck

M Hayashi, Y Yang - Quantum, 2023 - quantum-journal.org
The ability to extract relevant information is critical to learning. An ingenious approach as
such is the information bottleneck, an optimisation problem whose solution corresponds to a …

Nuisance parameter problem in quantum estimation theory: Tradeoff relation and qubit examples

J Suzuki - Journal of Physics A: Mathematical and Theoretical, 2020 - iopscience.iop.org
In this paper, we analyze quantum-state estimation problems when some of the parameters
are of no interest to be estimated. In classical statistics, these irrelevant parameters are …

Resolving unattainable Cramer–Rao bounds for quantum sensors

M Hayashi, S Vinjanampathy… - Journal of Physics B …, 2018 - iopscience.iop.org
In quantum metrology, it is widely believed that the quantum Cramér–Rao bound is an
attainable bound. However, this is not always true. In order to clarify this point, we explain …

Quantum coarse graining for extreme dimension reduction in modeling stochastic temporal dynamics

TJ Elliott - PRX Quantum, 2021 - APS
Stochastic modeling of complex systems plays an essential, yet often computationally
intensive, role across the quantitative sciences. Recent advances in quantum information …

Tight Cramér-Rao type bounds for multiparameter quantum metrology through conic programming

M Hayashi, Y Ouyang - Quantum, 2023 - quantum-journal.org
In the quest to unlock the maximum potential of quantum sensors, it is of paramount
importance to have practical measurement strategies that can estimate incompatible …