hcrb-for-ghb-states

Numerical evaluation of the Holevo Cramér-Rao bound for generalized Holland-Burnett states.

https://github.com/jayanth6626/hcrb-for-ghb-states

Science Score: 67.0%

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Numerical evaluation of the Holevo Cramér-Rao bound for generalized Holland-Burnett states.

Basic Info
  • Host: GitHub
  • Owner: Jayanth6626
  • License: mit
  • Language: Python
  • Default Branch: main
  • Homepage:
  • Size: 40 KB
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Created about 1 year ago · Last pushed about 1 year ago
Metadata Files
Readme License Citation

README.md

HCRB-for-gHB-states

DOI 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

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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