TY - GEN
T1 - Quantum projection filtering for open quantum systems
AU - Gao, Qing
AU - Zhang, Guofeng
PY - 2018/1/18
Y1 - 2018/1/18
N2 - This paper presents an approximation quantum projection filtering strategy, aiming to reduce the computational cost in calculating the standard quantum filter equation in time. By using a differential geometric approach, the trajectory of the resulting quantum projection filter is constrained to evolve in a finite-dimensional differentiable manifold consisting of an exponential family of quantum density operators. A convenient design of the differentiable manifold is then developed through reduction of the local approximation errors, which allows simplification of the quantum projection filter equations. Finally, simulation results from a two-level quantum system example illustrate the approximation performance of the proposed filtering scheme. The proposed approach is expected to be of practical use in developing more efficient quantum control methods.
AB - This paper presents an approximation quantum projection filtering strategy, aiming to reduce the computational cost in calculating the standard quantum filter equation in time. By using a differential geometric approach, the trajectory of the resulting quantum projection filter is constrained to evolve in a finite-dimensional differentiable manifold consisting of an exponential family of quantum density operators. A convenient design of the differentiable manifold is then developed through reduction of the local approximation errors, which allows simplification of the quantum projection filter equations. Finally, simulation results from a two-level quantum system example illustrate the approximation performance of the proposed filtering scheme. The proposed approach is expected to be of practical use in developing more efficient quantum control methods.
KW - differentiable manifold
KW - open quantum systems
KW - quantum information geometry
KW - Quantum projection filtering
UR - http://www.scopus.com/inward/record.url?scp=85046117349&partnerID=8YFLogxK
U2 - 10.1109/CDC.2017.8264479
DO - 10.1109/CDC.2017.8264479
M3 - Conference article published in proceeding or book
AN - SCOPUS:85046117349
T3 - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
SP - 5529
EP - 5534
BT - 2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 56th IEEE Annual Conference on Decision and Control, CDC 2017
Y2 - 12 December 2017 through 15 December 2017
ER -