Single-loop multiple-pulse nonadiabatic holonomic quantum gates

Nonadiabatic holonomic quantum computation provides the means to perform fast and robust quantum gates by utilizing the resilience of non-Abelian geometric phases to fluctuations of the path in sta ...

[1]  Kwiat,et al.  Observation of a nonclassical Berry's phase for the photon. , 1991, Physical review letters.

[2]  Guilu Long,et al.  Universal Nonadiabatic Geometric Gates in Two-Qubit Decoherence-Free Subspaces , 2014, Scientific reports.

[3]  E. Sjoqvist,et al.  Validity of the rotating-wave approximation in nonadiabatic holonomic quantum computation , 2013, 1307.1536.

[4]  Observation of geometric phases for mixed states using NMR interferometry. , 2003, Physical review letters.

[5]  P. Zanardi,et al.  Quantum computation in noiseless subsystems with fast non-Abelian holonomies , 2013, 1308.1919.

[6]  V. C. Rakhecha,et al.  Observation of geometric and dynamical phases by neutron interferometry , 1997 .

[7]  A. Walther,et al.  Experimental quantum-state tomography of a solid-state qubit , 2007, 0708.0764.

[8]  Hui Yan,et al.  Nonadiabatic holonomic quantum computation in decoherence-free subspaces with trapped ions , 2014 .

[9]  Jeeva Anandan,et al.  Non-adiabatic non-abelian geometric phase , 1988 .

[10]  S. Berger,et al.  Experimental realization of non-Abelian non-adiabatic geometric gates , 2013, Nature.

[11]  Noncyclic geometric changes of quantum states , 2005, quant-ph/0512045.

[12]  Z. D. Wang,et al.  Universal Holonomic Quantum Gates in Decoherence-free Subspace on Superconducting Circuits , 2015 .

[13]  Guilu Long,et al.  Experimental realization of nonadiabatic holonomic quantum computation. , 2013, Physical review letters.

[14]  K. Życzkowski,et al.  Geometry of Quantum States , 2007 .

[15]  C. Zu,et al.  Experimental realization of universal geometric quantum gates with solid-state spins , 2014, Nature.

[16]  Z. Xue,et al.  Nonadiabatic holonomic quantum computation with all-resonant control , 2016, 1601.07219.

[17]  D. M. Tong,et al.  Non-adiabatic holonomic quantum computation , 2011, 1107.5127.

[18]  Stefan W. Hell,et al.  Room temperature high-fidelity holonomic single-qubit gate on a solid-state spin , 2014, Nature Communications.

[19]  Frank Wilczek,et al.  Appearance of Gauge Structure in Simple Dynamical Systems , 1984 .

[20]  Zheng-Yuan Xue,et al.  Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers. , 2015, Optics express.

[21]  Klaus Molmer,et al.  Quantum computing with an inhomogeneously broadened ensemble of ions: Suppression of errors from detuning variations by specially adapted pulses and coherent population trapping , 2003, quant-ph/0305060.

[22]  Paolo Zanardi,et al.  QUANTUM HOLONOMIES FOR QUANTUM COMPUTING , 2000, quant-ph/0007110.

[23]  Erik Sjöqvist,et al.  Nonadiabatic holonomic quantum computation in decoherence-free subspaces. , 2012, Physical review letters.

[24]  D. M. Tong,et al.  Robustness of nonadiabatic holonomic gates , 2012, 1204.5144.

[25]  Guilu Long,et al.  Protecting geometric gates by dynamical decoupling , 2014 .

[26]  Paolo Zanardi,et al.  Holonomic quantum computation , 1999 .

[27]  N. Zanghí,et al.  On the stability of quantum holonomic gates , 2012, 1209.1693.

[28]  D. M. Tong,et al.  Non-adiabatic Holonomic Gates realized by a single-shot implementation , 2015, 1511.00919.

[29]  Erik Sjöqvist,et al.  Nonadiabatic holonomic single-qubit gates in off-resonant Λ systems , 2016 .