TY - JOUR AU - De las Cuevas, G. AU - Cubitt, J.L. AU - Wolf, M.M. AU - Pérez García, David PY - 2016 DO - 10.1063/1.4954983 SN - 00222488 UR - https://hdl.handle.net/20.500.14352/24628 T2 - Journal of Mathematical Physics AB - We show a fundamental limitation in the description of quantum many-body mixed states with tensor networks in purification form. Namely, we show that there exist mixed states which can be represented as a translationally invariant (TI) matrix product... LA - eng M2 - 071902 PB - American Institute of Physics Inc. TI - Fundamental limitations in the purifications of tensor networks TY - journal article VL - 57 ER -