Learning feedback control strategies for quantum metrology

A Fallani, MAC Rossi, D Tamascelli, MG Genoni - PRX Quantum, 2022 - APS
We consider the problem of frequency estimation for a single bosonic field evolving under a
squeezing Hamiltonian and continuously monitored via homodyne detection. In particular …

Noisy quantum metrology enhanced by continuous nondemolition measurement

MAC Rossi, F Albarelli, D Tamascelli, MG Genoni - Physical Review Letters, 2020 - APS
We show that continuous quantum nondemolition (QND) measurement of an atomic
ensemble is able to improve the precision of frequency estimation even in the presence of …

Unveiling atomic structure and chemical composition of the Al/AlOx/Al Josephson junctions in qubits

X Liu, K Pan, Z Zhang, Z Feng - Applied Surface Science, 2023 - Elsevier
Abstract Qubits incorporating Josephson Junctions are essential for developing quantum
computing devices, nevertheless, nanostructure and chemical information of the junction …

Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups

CS Jackson, CM Caves - Entropy, 2023 - mdpi.com
We formulate a general program for describing and analyzing continuous, differential weak,
simultaneous measurements of noncommuting observables, which focuses on describing …

Stochastic path-integral analysis of the continuously monitored quantum harmonic oscillator

T Karmakar, P Lewalle, AN Jordan - PRX Quantum, 2022 - APS
We consider the evolution of a quantum simple harmonic oscillator in a general Gaussian
state under simultaneous time-continuous weak position and momentum measurements …

Simultaneous weak measurement of non-commuting observables: a generalized Arthurs-Kelly protocol

MA Ochoa, W Belzig, A Nitzan - Scientific reports, 2018 - nature.com
In contrast to a projective quantum measurement, in a weak measurement the system is only
weakly perturbed while only partial information on the measured observable is obtained. A …

On catching and reversing a quantum jump mid-flight

ZK Minev, SO Mundhada, S Shankar… - … on Coherence and …, 2019 - opg.optica.org
On catching and reversing a quantum jump mid-flight Page 1 Tu5B.1.pdf Rochester Conference
on Coherence and Quantum Optics © OSA 2019 On catching and reversing a quantum jump …

Memory effects in a sequence of measurements of noncommuting observables

SM Walls, IJ Ford - Physical Review A, 2024 - APS
We use continuous, stochastic quantum trajectories within a framework of quantum state
diffusion (QSD) to describe alternating measurements of two noncommuting observables …

Error-correcting Bacon-Shor code with continuous measurement of noncommuting operators

J Atalaya, AN Korotkov, KB Whaley - Physical Review A, 2020 - APS
We analyze the continuous operation of the nine-qubit error-correcting Bacon-Shor code
with all noncommuting gauge operators measured at the same time. The error syndromes …

[HTML][HTML] On the Choi–Lam analogue of Hilbert's 1888 theorem for symmetric forms

C Goel, S Kuhlmann, B Reznick - Linear Algebra and its Applications, 2016 - Elsevier
A famous theorem of Hilbert from 1888 states that for given n and d, every positive
semidefinite (psd) real form of degree 2d in n variables is a sum of squares (sos) of real …