publication . Article . Preprint . Other literature type . 2018

Volume of the space of qubit-qubit channels and state transformations under random quantum channels

Lovas, Attila; Andai, Attila;
Open Access
  • Published: 12 Oct 2018 Journal: Reviews in Mathematical Physics, volume 30, page 1,850,019 (issn: 0129-055X, eissn: 1793-6659, Copyright policy)
  • Publisher: World Scientific Pub Co Pte Lt
The simplest building blocks for quantum computations are the qubit-qubit quantum channels. In this paper, we analyze the structure of these channels via their Choi representation. The restriction of a quantum channel to the space of classical states (i.e. probability distributions) is called the underlying classical channel. The structure of quantum channels over a fixed classical channel is studied, the volume of general and unital qubit channels with respect to the Lebesgue measure is computed and explicit formulas are presented for the distribution of the volume of quantum channels over given classical channels. We study the state transformation under unifor...
Persistent Identifiers
arXiv: Computer Science::Information Theory
ACM Computing Classification System: Data_CODINGANDINFORMATIONTHEORYComputerSystemsOrganization_MISCELLANEOUS
free text keywords: Mathematical Physics, Quantum Physics, 81P16, 81P45, 94A17, Computation, Qubit, Quantum, Physics, Communication channel, Information geometry, Quantum mechanics, Quantum channel

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