hcrb-for-ghb-states
Numerical evaluation of the Holevo Cramér-Rao bound for generalized Holland-Burnett states.
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Numerical evaluation of the Holevo Cramér-Rao bound for generalized Holland-Burnett states.
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README.md
HCRB-for-gHB-states
Numerical evaluation of the Holevo Cramér-Rao bound (HCRB) for generalized Holland-Burnett (gHB) states. This code is adapted from the
HCRB function of the QuanEstimation package and optimized to yield efficient results for the gHB states, an important class of two-mode definite photon number states, especially at higher photon numbers.
This code was used to compute the HCRB, supporting the results of the arXiv paper: Measurement compatibility in multiparameter quantum interferometry.
This code has been tested to yield optimized results on: - MacBook Air (Intel Core i5-5350U, 2 physical cores, 4 logical threads, 1.80 GHz) - 8 GB RAM - macOS Catalina
Please note that the current version of the code handles photon numbers up to N = 6 efficiently. For higher photon numbers (N > 6), it is recommended to use a high-performance computing cluster or supercomputer.
Acknowledgement: I thank Stack Overflow user Jérôme Richard and Mathematica Stack exchange user Henrik Schumacher for their valuable inputs in optimizing the HCRB code for higher dimensions. I also thank the members of the Computer Laboratory of the Faculty of Mathematics, Informatics, and Mechanics at the University of Warsaw for providing me access to their cluster computing facility.
Owner
- Name: Jayanth Jayakumar
- Login: Jayanth6626
- Kind: user
- Repositories: 1
- Profile: https://github.com/Jayanth6626
Citation (CITATION.cff)
# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!
cff-version: 1.2.0
title: HCRB for gHB states
message: >-
If you use this software, please cite it using the
metadata from this file.
type: software
authors:
- given-names: Jayanth
family-names: Jayakumar
email: jay2nth@gmail.com
affiliation: University of Warsaw
orcid: 'https://orcid.org/0000-0002-6377-2724'
identifiers:
- type: doi
value: 10.5281/zenodo.15237091
description: HCRB for gHB states
repository-code: 'https://github.com/Jayanth6626/HCRB-for-gHB-states'
abstract: >-
Numerical evaluation of the Holevo Cramér-Rao bound for
generalized Holland-Burnett states.
keywords:
- Quantum Metrology
license: MIT
commit: 00b3f62d960c34dd8be31c19483718373c03908f
version: v1.0.0
date-released: '2025-04-17'
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