2026-06-28T15:17:57Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/419022023-08-28T09:05:28Zcom_20.500.14352_14col_20.500.14352_15

A quantum version of Wielandt's inequality Sanz, Mikel Pérez García, David Cirac, Juan I. Wolf, Michael In this paper, Wielandt's inequality for classical channels is extended to quantum channels. That is, an upper bound to the number of times a channel must be applied, so that it maps any density operator to one with full rank, is found. Using this bound, dichotomy theorems for the zero--error capacity of quantum channels and for the Matrix Product State (MPS) dimension of ground states of frustration-free Hamiltonians are derived. The obtained inequalities also imply new bounds on the required interaction-range of Hamiltonians with unique MPS ground state. 2023-06-20T00:04:42Z 2023-06-20T00:04:42Z 2010 journal article 4668-4673 10.1109/TIT.2010.2054552 https://hdl.handle.net/20.500.14352/41902 http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5550282 eng QUEVADIS (233859) open access IEEE