Uncertain quantum critical metrology: From single to multi parameter sensing

G Mihailescu, S Campbell, K Gietka - arxiv preprint arxiv:2407.19917, 2024 - arxiv.org
Critical quantum metrology relies on the extreme sensitivity of a system's eigenstates near
the critical point of a quantum phase transition to Hamiltonian perturbations. This means that …

Evading noise in multiparameter quantum metrology with indefinite causal order

AZ Goldberg, K Heshami, LL Sánchez-Soto - Physical Review Research, 2023 - APS
Quantum theory allows the traversing of multiple channels in a superposition of different
orders. When the order in which the channels are traversed is controlled by an auxiliary …

[HTML][HTML] Multiparameter estimation with two-qubit probes in noisy channels

LO Conlon, PK Lam, SM Assad - Entropy, 2023 - mdpi.com
This work compares the performance of single-and two-qubit probes for estimating several
phase rotations simultaneously under the action of different noisy channels. We compute the …

Quantum polarimetry

AZ Goldberg - Progress in Optics, 2022 - Elsevier
Polarization is one of light's most versatile degrees of freedom for both classical and
quantum applications. The ability to measure light's state of polarization and changes …

The gap persistence theorem for quantum multiparameter estimation

LO Conlon, J Suzuki, PK Lam, SM Assad - arxiv preprint arxiv:2208.07386, 2022 - arxiv.org
One key aspect of quantum metrology, measurement incompatibility, is evident only through
the simultaneous estimation of multiple parameters. The symmetric logarithmic derivative …

Quantum multiphase estimation

M Barbieri, I Gianani, AZ Goldberg… - arxiv preprint arxiv …, 2025 - arxiv.org
Quantum phase estimation is fundamental to advancing quantum science and technology.
While much of the research has concentrated on estimating a single phase, the …

Unified Cram\'{e} r-Rao bound for quantum multi-parameter estimation: Invertible and non-invertible Fisher information matrix

M Namkung, C Lee, HT Lim - arxiv preprint arxiv:2412.01117, 2024 - arxiv.org
In quantum multi-parameter estimation, the uncertainty in estimating unknown parameters is
lower-bounded by Cram\'{e} r-Rao bound (CRB), defined as an inverse of the Fisher …

Quantum Cramér-Rao bound for quantum statistical models with parameter-dependent rank

Y Ye, XM Lu - Physical Review A, 2022 - APS
Recently a widely used computation expression for quantum Fisher information was shown
to be discontinuous at the parameter points where the rank of the parametric density …

Untwining multiple parameters at the exclusive zero-coincidence points with quantum control

Y Yang, F Belliardo, V Giovannetti, F Li - New Journal of Physics, 2023 - iopscience.iop.org
In this paper we address a special case of'sloppy'quantum estimation procedures which
happens in the presence of intertwined parameters. A collection of parameters are said to be …

Multiparameter transmission estimation at the quantum Cramér–Rao limit on a cloud quantum computer

AZ Goldberg, K Heshami - New Journal of Physics, 2022 - iopscience.iop.org
Estimating transmission or loss is at the heart of spectroscopy. To achieve the ultimate
quantum resolution limit, one must use probe states with definite photon number and …