Reservoir engineering is the term used in quantum control and information technologies to describe manipulating the environment within which an open quantum system operates. Reservoir engineering is essential in applications where storing quantum information is required. From the control theory perspective, a quantum system is capable of storing quantum information if it possesses a so-called decoherence free subsystem (DFS). This paper explores pole placement techniques to facilitate synthesis of decoherence free subsystems via coherent quantum feedback control. We discuss limitations of the conventional ‘open loop’ approach and propose a constructive feedback design methodology for decoherence free subsystem engineering. It captures a quite general dynamic coherent feedback structure which allows systems with decoherence free modes to be synthesized from components which do not have such modes.
Open quantum system decoherence free subsystem reservoir engineering coherent feedback control quantum control
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J. F. Poyatos, J. I. Cirac, P. Zoller. Quantum reservoir engineering with laser cooled trapped ions. Physical Review Letters, 1996, 77(23): 4728–4731.CrossRefGoogle Scholar
N. Yamamoto. Coherent versus measurement feedback: Linear systems theory for quantum information. Physical Review X, 2014, 4(4): DOI 10.1103/PhysRevX.4.041029.Google Scholar
M. R. James, J. E. Gough. Quantum dissipative systems and feedback control design by interconnection. IEEE Transactions on Automatic Control, 2010, 55(8): 1806–1821.MathSciNetCrossRefzbMATHGoogle Scholar
H. I Nurdin, J. E. Gough. Modular quantum memories using passive linear optics and coherent feedback. Quantum Information & Computation, 2015, 15(11/12): 1017–1040.MathSciNetGoogle Scholar
Y. Pan, T. Nguyen, Z. Miao, et al. Coherent observer engineering for protecting quantum information. Proceedings of the 35th Chinese Control Conference, Chengdu: IEEE, 2016: 9139–9144.Google Scholar
T. Nguyen, Z. Miao, Y. Pan, et al. Pole placement approach to coherent passive reservoir engineering for storing quantum information. Proceedings of the American Control Conference, Seattle: IEEE, 2017: 234–239.Google Scholar
H.-P. Breuer, F. Petruccione. The Theory of Open Quantum Systems. Oxford: Oxford University Press, 2002.zbMATHGoogle Scholar
A. I. Maalouf, I. R. Petersen. Bounded real properties for a class of annihilation-operator linear quantum systems. IEEE Transactions on Automatic Control, 2011, 56(4): 786–801.MathSciNetCrossRefzbMATHGoogle Scholar
G. Zhang, M. R. James. Direct and indirect couplings in coherent feedback control of linear quantum systems. IEEE Transactions on Automatic Control, 2011, 56(7): 1535–1550.MathSciNetCrossRefzbMATHGoogle Scholar
F. Verstraete, M. M. Wolf, J. I. Cirac. Quantum computation and quantum-state engineering driven by dissipation. Nature Physics, 2009, 5(9): 633–636.CrossRefGoogle Scholar
H. Krauter, C. A. Muschik, K. Jensen, et al. Entanglement generated by dissipation and steady state entanglement of two macroscopic objects. Physical Review Letters, 2011, 107(8): DOI 10.1103/PhysRevLett.107.080503.Google Scholar