Spatial search on Johnson graphs by continuous-time quantum walk

[1]  Alexander Blumen,et al.  Continuous-Time Quantum Walks: Models for Coherent Transport on Complex Networks , 2011, 1101.2572.

[2]  Resonant Quantum Kicked Rotor as A Continuous-Time Quantum Walk , 2020 .

[3]  Daniel A. Spielman,et al.  Exponential algorithmic speedup by a quantum walk , 2002, STOC '03.

[4]  Norio Konno,et al.  CONTINUOUS-TIME QUANTUM WALKS ON TREES IN QUANTUM PROBABILITY THEORY , 2006 .

[5]  Matteo G. A. Paris,et al.  Transport Efficiency of Continuous-Time Quantum Walks on Graphs , 2020, Entropy.

[6]  R. Wilcox Exponential Operators and Parameter Differentiation in Quantum Physics , 1967 .

[7]  Continuous-time quantum-walk spatial search on the Bollobás scale-free network , 2019, Physical Review A.

[8]  A. Hora,et al.  Distance-Regular Graphs , 2007 .

[9]  Quantum search with a continuous-time quantum walk in momentum space , 2020, 2002.09139.

[10]  Norio Konno,et al.  Limit theorem for continuous-time quantum walk on the line. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  S. Dadras,et al.  Experimental realization of a momentum-space quantum walk , 2018, Physical Review A.

[12]  Edward Farhi,et al.  A Quantum Algorithm for the Hamiltonian NAND Tree , 2008, Theory Comput..

[13]  N. Levenberg,et al.  Function theory in several complex variables , 2001 .

[14]  Thomas G. Wong,et al.  Global symmetry is unnecessary for fast quantum search , 2014, 1403.2228.

[15]  Elena Agliari,et al.  Quantum-walk approach to searching on fractal structures , 2010, 1002.1274.

[16]  M. Paris,et al.  Continuous-time quantum walks on dynamical percolation graphs , 2018, EPL (Europhysics Letters).

[17]  A. Neumaier,et al.  Distance Regular Graphs , 1989 .

[18]  J. Koolen,et al.  Distance-regular graphs , 2014, 1410.6294.

[19]  Stefan Boettcher,et al.  Continuous-Time Quantum Search on Balanced Trees , 2016 .

[20]  Paul Benioff Space Searches with a Quantum Robot , 2000 .

[21]  F. M. Andrade,et al.  Equivalence between discrete quantum walk models in arbitrary topologies , 2009, 0911.0042.

[22]  Masoud Mohseni,et al.  Systematic Dimensionality Reduction for Quantum Walks: Optimal Spatial Search and Transport on Non-Regular Graphs , 2014, Scientific Reports.

[23]  Zhihao Liu,et al.  Discrete-time quantum walk search on Johnson graphs , 2019, Quantum Inf. Process..

[24]  Thomas G. Wong,et al.  Quantum walk search on Johnson graphs , 2016, 1601.04212.

[25]  E. Farhi,et al.  Quantum computation and decision trees , 1997, quant-ph/9706062.

[26]  Andrew M. Childs,et al.  Spatial search by quantum walk , 2003, quant-ph/0306054.