TY - JOUR
AB - The linearity of quantum operations puts many fundamental constraints on the information processing tasks we can achieve on a quantum system whose state is not exactly known, just as we observe in quantum cloning and quantum discrimination. In this paper we show that in a probabilistic manner, linearity is in fact the only one that restricts the physically realizable tasks. To be specific, if a system is prepared in a state secretly chosen from a linearly independent pure state set, then any quantum state separation can be physically realized with a positive probability. Furthermore, we derive a lower bound on the average failure probability of any quantum state separation. © 2005 The American Physical Society.
AU - Feng, Y
AU - Duan, R
AU - Ji, Z
DA - 2005/07/01
DO - 10.1103/PhysRevA.72.012313
JO - Physical Review A - Atomic, Molecular, and Optical Physics
PY - 2005/07/01
TI - Condition and capability of quantum state separation
VL - 72
Y1 - 2005/07/01
Y2 - 2021/04/21
ER -