Alternating Projections Methods for Discrete-Time Stabilization of Quantum States

作者：Ticozzi Francesco^*; Zuccato Luca; Johnson Peter D; Viola Lorenza

来源：IEEE Transactions on Automatic Control, 2018, 63(3): 819-826.

DOI：10.1109/TAC.2017.2731903

• Alternating projections
• asymptotic stability
• interconnected systems
• quantum information

We study sequences (both cyclic and randomized) of idempotent completely positive trace-preserving quantum maps, and show how they asymptotically converge to the intersection of their fixed point sets via alternating projection methods, highlighting the robustness features of the protocol against randomization. The general results are then specialized to stabilizing entangled states in finite-dimensional multipartite quantum systems subject to locality constraints, a problem of key interest for quantum information applications.

• 出版日期2018-3