Implementing quantum gates by optimal control with doubly exponential convergence.
暂无分享,去创建一个
[1] H. Rabitz,et al. Control of quantum phenomena: past, present and future , 2009, 0912.5121.
[2] F K Wilhelm,et al. Optimal control of a qubit coupled to a non-Markovian environment. , 2006, Physical review letters.
[3] J. J. Moré,et al. A Characterization of Superlinear Convergence and its Application to Quasi-Newton Methods , 1973 .
[4] N. Khaneja,et al. Optimal control-based efficient synthesis of building blocks of quantum algorithms: A perspective from network complexity towards time complexity , 2005 .
[5] Ilya Kuprov,et al. Derivatives of spin dynamics simulations. , 2009, The Journal of chemical physics.
[6] A. Steane. Overhead and noise threshold of fault-tolerant quantum error correction , 2002, quant-ph/0207119.
[7] Stuart A. Rice,et al. Control of selectivity of chemical reaction via control of wave packet evolution , 1985 .
[8] José Mario Martínez,et al. Quasi-Newton methods for solving underdetermined nonlinear simultaneous equations , 1991 .
[9] S. G. Schirmer,et al. Implementation of fault-tolerant quantum logic gates via optimal control , 2009, 0907.1635.
[10] Timo O. Reiss,et al. Optimal control of coupled spin dynamics: design of NMR pulse sequences by gradient ascent algorithms. , 2005, Journal of magnetic resonance.
[11] Adi Ben-Israel. A Newton-Raphson method for the solution of systems of equations , 1966 .
[12] Tommaso Calarco,et al. Colloquium: Trapped ions as quantum bits: Essential numerical tools , 2009, 0912.0196.
[13] Masao Fukushima,et al. On the Global Convergence of the BFGS Method for Nonconvex Unconstrained Optimization Problems , 2000, SIAM J. Optim..
[14] Jr-Shin Li,et al. Optimal pulse design in quantum control: A unified computational method , 2011, Proceedings of the National Academy of Sciences.
[15] Hideo Mabuchi,et al. Principles and applications of control in quantum systems , 2005 .
[16] Yvon Maday,et al. New formulations of monotonically convergent quantum control algorithms , 2003 .
[17] S. Glaser,et al. Second order gradient ascent pulse engineering. , 2011, Journal of magnetic resonance.
[18] V. Bergholm,et al. Optimal control of coupled Josephson qubits , 2005, quant-ph/0504202.
[19] Jonathan P Dowling,et al. Quantum technology: the second quantum revolution , 2003, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[20] S Montangero,et al. Optimal control at the quantum speed limit. , 2009, Physical review letters.
[21] H. Sussmann,et al. Control systems on Lie groups , 1972 .
[22] J. M. Gambetta,et al. Optimal control methods for rapidly time-varying Hamiltonians , 2011, 1102.0584.