Eötvös Loránd University, Pázmány Péter sétány 1/C, Budapest, 1117 Hungary
Inštitut Rényi, Budimpešta, Reáltanoda u. 13-15, 1053 Madžarska
Se vam zdi ta članek zanimiv ali želite razpravljati? Zaslišite ali pustite komentar na SciRate.
Minimalizem
We investigate whether certain non-classical communication channels can be simulated by a classical channel with a given number of states and a given `amount’ of noise. It is proved that any noisy quantum channel can be simulated by a corresponding classical channel with `the same amount’ of noise. Classical simulations of general probabilistic channels are also studied.
Priljubljen povzetek
It is easy to see that the classical channel with $n$ states can be simulated by the quantum channel of level $n$. By a theorem of Weiner and the present author, the converse also holds. The present paper is about variants of this theorem for general probabilistic channels and for noisy quantum channels. We also discuss noiseless classical simulations of noisy channels, and present an open problem tentatively linking classical simulations of quantum channels to the more traditional way of comparing efficiency of classical and quantum communication, involving von Neumann entropy, mutual information and Holevo’s inequality.
► BibTeX podatki
► Reference
[1] R. B. Bapat: Mixed discriminants of positive semidefinite matrices. Linear Algebra Appl. 126 (1989), 107–124. https://doi.org/10.1016/0024-3795(89)90009-8.
https://doi.org/10.1016/0024-3795(89)90009-8
[2] Michele Dall’Arno, Sarah Brandsen, Alessandro Tosini, Francesco Buscemi, and Vlatko Vedral: No-Hypersignaling Principle, Phys. Rev. Lett. 119 (2017), 020401. https://doi.org/10.1103/PhysRevLett.119.020401.
https: / / doi.org/ 10.1103 / PhysRevLett.119.020401
[3] Brian Doolittle, Eric Chitambar: Certifying the Classical Simulation Cost of a Quantum Channel, Phys. Rev. Research 3, 043073. https://doi.org/10.1103/PhysRevResearch.3.043073.
https: / / doi.org/ 10.1103 / PhysRevResearch.3.043073
[4] P. E. Frenkel and M. Weiner: Classical information storage in an $n$-level quantum system, Communications in Mathematical Physics 340 (2015), 563–574. https://doi.org/10.1007/s00220-015-2463-0.
https://doi.org/10.1007/s00220-015-2463-0
[5] AS Holevo: Meje za količino informacij, ki jih prenaša kvantni komunikacijski kanal, Probl. Predachi Inf., 9:3 (1973), 3–11; Težave Inform. Prenos, 9:3 (1973), 177–183.
[6] L. Lovász and M. D. Plummer: Matching Theory. North-Holland, 1986.
[7] Keiji Matsumoto, Gen Kimura: Information-induced asymmetry of state space in view of general probabilistic theories, https://doi.org/10.48550/arXiv.1802.01162.
https:///doi.org/10.48550/arXiv.1802.01162
Navedel
[1] Péter E. Frenkel and Mihály Weiner, “On entanglement assistance to a noiseless classical channel”, arXiv: 2103.08567.
[2] Leevi Leppäjärvi, "Simulabilnost in nezdružljivost meritev v kvantni teoriji in drugih operativnih teorijah", arXiv: 2106.03588.
Zgornji citati so iz SAO / NASA ADS (zadnjič posodobljeno 2022-07-24 14:10:15). Seznam je morda nepopoln, saj vsi založniki ne dajejo ustreznih in popolnih podatkov o citiranju.
On Crossref je navedel storitev ni bilo najdenih podatkov o navajanju del (zadnji poskus 2022-07-24 14:10:13).
Ta dokument je objavljen v Quantumu pod Priznanje avtorstva Creative Commons 4.0 International (CC BY 4.0) licenca. Avtorske pravice ostajajo pri izvirnih imetnikih avtorskih pravic, kot so avtorji ali njihove ustanove.