Multi-parameter estimation beyond quantum Fisher information

R Demkowicz-Dobrzański, W Górecki… - Journal of Physics A …, 2020 - iopscience.iop.org
This review aims at gathering the most relevant quantum multi-parameter estimation
methods that go beyond the direct use of the quantum Fisher information concept. We …

Reference frames, superselection rules, and quantum information

SD Bartlett, T Rudolph, RW Spekkens - Reviews of Modern Physics, 2007 - APS
Recently, there has been much interest in a new kind of “unspeakable” quantum information
that stands to regular quantum information in the same way that a direction in space or a …

Sample-optimal tomography of quantum states

J Haah, AW Harrow, Z Ji, X Wu, N Yu - … of the forty-eighth annual ACM …, 2016 - dl.acm.org
It is a fundamental problem to decide how many copies of an unknown mixed quantum state
are necessary and sufficient to determine the state. This is the quantum analogue of the …

Tight bounds on the simultaneous estimation of incompatible parameters

JS Sidhu, Y Ouyang, ET Campbell, P Kok - Physical Review X, 2021 - APS
The estimation of multiple parameters in quantum metrology is important for a vast array of
applications in quantum information processing. However, the unattainability of fundamental …

Sequential feedback scheme outperforms the parallel scheme for Hamiltonian parameter estimation

H Yuan - Physical review letters, 2016 - APS
Measurement and estimation of parameters are essential for science and engineering,
where the main quest is to find the highest achievable precision with the given resources …

Statistical methods for quantum state verification and fidelity estimation

XD Yu, J Shang, O Gühne - Advanced Quantum Technologies, 2022 - Wiley Online Library
The efficient and reliable certification of quantum states is essential for various quantum
information processing tasks as well as for the general progress on the implementation of …

Minimal tradeoff and ultimate precision limit of multiparameter quantum magnetometry under the parallel scheme

Z Hou, Z Zhang, GY Xiang, CF Li, GC Guo, H Chen… - Physical Review Letters, 2020 - APS
The precise measurement of a magnetic field is one of the most fundamental and important
tasks in quantum metrology. Although extensive studies on quantum magnetometry have …

Choice of measurement sets in qubit tomography

MD De Burgh, NK Langford, AC Doherty… - Physical Review A—Atomic …, 2008 - APS
Optimal generalized measurements for state estimation are well understood. However,
practical quantum state tomography is typically performed using a fixed set of projective …

Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality

S Wu, UV Poulsen, K Mølmer - Physical Review A—Atomic, Molecular, and …, 2009 - APS
We consider the classical correlations that two observers can extract by measurements on a
bipartite quantum state and we discuss how they are related to the quantum mutual …

Average fidelity between random quantum states

K Życzkowski, HJ Sommers - Physical Review A—Atomic, Molecular, and …, 2005 - APS
We analyze mean fidelity between random density matrices of size N, generated with
respect to various probability measures in the space of mixed quantum states: the Hilbert …