High-dimensional methods for quantum homodyne tomography

被引：1

作者：

Mosco, Nicola

Maccone, Lorenzo ^{[1
]}

机构：

[1] Univ Pavia, Dip Fis, Via Bassi 6, I-27100 Pavia, Italy

来源：

PHYSICS LETTERS A | 2022年 / 449卷

关键词：

Quantum tomography; Homodyne detection; Pattern functions; Julia language; DENSITY-MATRIX; PHOTON STATISTICS; WIGNER FUNCTION; RECONSTRUCTION; JULIA;

D O I：

10.1016/j.physleta.2022.128339

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We provide optimized recursion relations for homodyne tomography. We improve previous methods by mitigating the divergences intrinsic in the calculation of the pattern functions used previously, and detail how to implement the data analysis through Monte Carlo simulations. Our refinements are necessary for the reconstruction of excited quantum states which populate a high-dimensional subspace of the electromagnetic field Hilbert space. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：8

共 33 条

[1]

Abramowitz M., 1964, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, V10th, DOI DOI 10.1119/1.15378

[2]

[Anonymous], 1997, QUANTUM OPTICS SPECT

[3]

Bezanson J., 2012, JULIA LANGUAGE

[4]

Bezanson J, 2012, Arxiv, DOI [arXiv:1209.5145, 10.48550/arXiv.1209.5145, DOI 10.48550/ARXIV.1209.5145]

[5] Julia: A Fresh Approach to Numerical Computing [J].

Bezanson, Jeff ;

Edelman, Alan ;

Karpinski, Stefan ;

Shah, Viral B. .

SIAM REVIEW, 2017, 59 (01) :65-98

[6] HOMODYNE DETECTION OF THE DENSITY-MATRIX OF THE RADIATION-FIELD [J].

DARIANO, GM ;

LEONHARDT, U ;

PAUL, H .

PHYSICAL REVIEW A, 1995, 52 (03) :R1801-R1804

[7] Homodyne tomography and the reconstruction of quantum states of light [J].

D'Ariano, Giacomo Mauro ;

Maccone, Lorenzo ;

Sacchi, Massimiliano Federico .

QUANTUM INFORMATION WITH CONTINOUS VARIABLES OF ATOMS AND LIGHT, 2007, :141-+

[8]

D'Ariano GM, 2004, LECT NOTES PHYS, V649, P7

[9] Quantum tomography [J].

D'Ariano, GM ;

Paris, MGA ;

Sacchi, MF .

ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 128, 2003, 128 :205-308

[10] Quorum of observables for universal quantum estimation [J].

D'Ariano, GM ;

Maccone, L ;

Paris, MGA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (01) :93-103

← 1 2 3 4 →