Quantum Communication with Polarization-Encoded Qubits under Majorization Monotone Dynamics

被引：8

作者：

Czerwinski, Artur ^{[1
]}

机构：

[1] Nicolaus Copernicus Univ Torun, Fac Phys Astron & Informat, Inst Phys, Ul Grudziadzka 5, PL-87100 Torun, Poland

来源：

MATHEMATICS | 2022年 / 10卷 / 21期

关键词：

mathematical physics; quantum communication; quantum information; open quantum systems; majorization monotone dynamics; polarization of light; dephasing channel; trace distance; DECOHERENCE; INEQUALITIES;

D O I：

10.3390/math10213932

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Quantum communication can be realized by transmitting photons that carry quantum information. Due to decoherence, the information encoded in the quantum state of a single photon can be distorted, which leads to communication errors. In particular, we consider the impact of majorization monotone dynamical maps on the efficiency of quantum communication. The mathematical formalism of majorization is revised with its implications for quantum systems. The discrimination probability for two arbitrary orthogonal states is used as a figure of merit to track the quality of quantum communication in the time domain.

引用

页数：17

共 58 条

[1] Variations of QKD Protocols Based on Conventional System Measurements: A Literature Review [J].

Abushgra, Abdulbast A. .

CRYPTOGRAPHY, 2022, 6 (01)

[2]

Alicki R, 2007, QUANTUM DYNAMICAL SE

[3]

[Anonymous], 1927, Mathematisch-Physikalische Klasse

[4] On random unitary channels [J].

Audenaert, Koenraad M. R. ;

Scheel, Stefan .

NEW JOURNAL OF PHYSICS, 2008, 10

[5] Dynamical decoupling in optical fibers: Preserving polarization qubits from birefringent dephasing [J].

Bardhan, Bhaskar Roy ;

Anisimov, Petr M. ;

Gupta, Manish K. ;

Brown, Katherine L. ;

Jones, N. Cody ;

Lee, Hwang ;

Dowling, Jonathan P. .

PHYSICAL REVIEW A, 2012, 85 (02)

[6] Quantum computing using dissipation to remain in a decoherence-free subspace [J].

Beige, A ;

Braun, D ;

Tregenna, B ;

Knight, PL .

PHYSICAL REVIEW LETTERS, 2000, 85 (08) :1762-1765

[7]

Bengtsson I., 2017, Geometry of quantum states: an introduction to quantum entanglement, DOI DOI 10.1007/s10107-002-0352-8

[8]

Bennett C. H., 1984, P INT C COMPUTERS SY, P175, DOI [10.1016/j.tcs.2014.05.025, DOI 10.1016/J.TCS.2014.05.025]

[9]

Bhatia R., 2013, Matrix Analysis, V169, DOI [10.1007/978-1-4612-0653-8, DOI 10.1007/978-1-4612-0653-8]

[10] Quantum Integral Inequalities in the Setting of Majorization Theory and Applications [J].

Bin-Mohsin, Bandar ;

Javed, Muhammad Zakria ;

Awan, Muhammad Uzair ;

Budak, Huseyin ;

Kara, Hasan ;

Noor, Muhammad Aslam .

SYMMETRY-BASEL, 2022, 14 (09)

← 1 2 3 4 5 6 →