Lovas, Attila and Andai, Attila (2018) Volume of the space of qubitqubit channels and state transformations under random quantum channels. REVIEWS IN MATHEMATICAL PHYSICS, 30 (10). ISSN 0129055X

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Abstract
The simplest building blocks for quantum computations are the qubitqubit 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 the 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 uniformly random quantum channels. If one applies a uniformly random quantum channel (general or unital) to a given qubit state, the distribution of the resulted quantum states is presented.
Item Type:  Article 

Uncontrolled Keywords:  Quantum channel; qubitqubit transition; 
Subjects:  Q Science / természettudomány > QA Mathematics / matematika 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  12 Jan 2019 04:30 
Last Modified:  12 Jan 2019 04:30 
URI:  http://real.mtak.hu/id/eprint/89794 
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