TY - JOUR
T1 - Optimal tracking for pairs of qubit states
AU - Mendonça, Paulo E M F
AU - Gilchrist, Alexei
AU - Doherty, Andrew C.
N1 - Paulo E. M. F. Mendonça, Alexei Gilchrist, and Andrew C. Doherty, Physical review A, 78, 012319, 2008. Copyright 2008 by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevA.78.012319
PY - 2008/7/11
Y1 - 2008/7/11
N2 - In classical control theory, tracking refers to the ability to perform measurements and feedback on a classical system in order to enforce some desired dynamics. In this paper we investigate a simple version of quantum tracking, namely, we look at how to optimally transform the state of a single qubit into a given target state, when the system can be prepared in two different ways, and the target state depends on the choice of preparation. We propose a tracking strategy that is proved to be optimal for any input and target states. Applications in the context of state discrimination, state purification, state stabilization, and state-dependent quantum cloning are presented, where existing optimality results are recovered and extended.
AB - In classical control theory, tracking refers to the ability to perform measurements and feedback on a classical system in order to enforce some desired dynamics. In this paper we investigate a simple version of quantum tracking, namely, we look at how to optimally transform the state of a single qubit into a given target state, when the system can be prepared in two different ways, and the target state depends on the choice of preparation. We propose a tracking strategy that is proved to be optimal for any input and target states. Applications in the context of state discrimination, state purification, state stabilization, and state-dependent quantum cloning are presented, where existing optimality results are recovered and extended.
UR - http://www.scopus.com/inward/record.url?scp=47249149231&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.78.012319
DO - 10.1103/PhysRevA.78.012319
M3 - Article
AN - SCOPUS:47249149231
VL - 78
SP - 1
EP - 16
JO - Physical Review A: covering atomic, molecular, and optical physics and quantum information
JF - Physical Review A: covering atomic, molecular, and optical physics and quantum information
SN - 2469-9926
IS - 1
M1 - 012319
ER -