Quantum-information distributors: Quantum network for symmetric and asymmetric cloning in arbitrary dimension and continuous limit
Year: 2001
Type: article
Abstract: We show that for any Hilbert-space dimension, the optimal $\stackrel{\ensuremath{\rightarrow}}{1}2$ universal quantum cloner can be constructed from essentially the same quantum circuit, i.e., we find a universal design for universal cloners. In the case of infinite dimensions (which includes continuous variable quantum systems) the universal cloner reduces to an essentially classical device. More generally, we construct a universal quantum circuit for distributing qudits in any dimension which acts covariantly under generalized displacements and momentum kicks. The behavior of this covariant distributor is controlled by its initial state. We show that suitable choices for this initial state yield both universal cloners and optimized cloners for limited alphabets of states related by generalized phase-space displacements.
Source: Physical Review A
Institutions: Bangor University, The University of Queensland, Hunter College
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W2164854511