Year: 2006
Type: article
Abstract: A classical nonsignaling (or causal) box is an operation on classical bipartite input with classical bipartite output such that no signal can be sent from a party to the other through the use of the box. The quantum counterpart of such boxes, i.e., completely positive trace-preserving maps on bipartite states, though studied in literature, have been investigated less intensively than classical boxes. We present here some results and remarks about such maps. In particular, we analyze: the relations among properties as causality, nonlocality and entanglement; the connection between causal and entanglement breaking maps; the characterization of causal maps in terms of the classification of states with fixed reductions. We also provide proofs of the fact that every nonproduct unitary transformation is not causal, as well as for the equivalence of the so-called semicausality and semilocalizability properties.
Source: Physical Review A
Authors: M. Piani, M. Horodecki, P. Horodecki, R. Horodecki
Institutions: University of Gdańsk, Gdańsk University of Technology
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3141881961