RT Journal Article T1 Sequential Implementation of Global Quantum Operations A1 Lamata, L. A1 León, J. A1 Pérez García, David A1 Salgado, D. A1 Solano, E. AB We study the possibility for a global unitary applied on an arbitrary number of qubits to be decomposed in a sequential unitary procedure, where an ancillary system is allowed to interact only once with each qubit. We prove that sequential unitary decompositions are in general impossible for genuine entangling operations, even with an infinite-dimensional ancilla, being the controlled-NOT gate a paradigmatic example. Nevertheless, we find particular nontrivial operations in quantum information that can be performed in a sequential unitary manner, as is the case of quantum error correction and quantum cloning. PB American Physical Society SN 0031-9007 YR 2008 FD 2008-10-31 LK https://hdl.handle.net/20.500.14352/50305 UL https://hdl.handle.net/20.500.14352/50305 LA eng NO Humboldt Foundation NO Spanish Ministry of Education NO Ikerbasque Foundation NO CSIC DS Docta Complutense RD 6 abr 2025