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» One-dimensional quantum walks
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GBRPR
2005
Springer
13 years 10 months ago
Towards Unitary Representations for Graph Matching
In this paper we explore how a spectral technique suggested by quantum walks can be used to distinguish non-isomorphic cospectral graphs. Reviewing ideas from the field of quantum...
David Emms, Simone Severini, Richard C. Wilson, Ed...
STOC
2007
ACM
97views Algorithms» more  STOC 2007»
14 years 5 months ago
Search via quantum walk
Frédéric Magniez, Ashwin Nayak, Jere...
FOSSACS
2011
Springer
12 years 8 months ago
Coalgebraic Walks, in Quantum and Turing Computation
The paper investigates non-deterministic, probabilistic and quantum walks, from the perspective of coalgebras and monads. Nondeterministic and probabilistic walks are coalgebras of...
Bart Jacobs
ICPR
2008
IEEE
13 years 11 months ago
Graph drawing using quantum commute time
In this paper, we explore experimentally the use of the commute time of the continuous-time quantum walk for graph drawing. For the classical random walk, the commute time has bee...
David Emms, Edwin R. Hancock, Richard C. Wilson
CORR
2008
Springer
106views Education» more  CORR 2008»
13 years 5 months ago
Quantum walk based search algorithms
In this survey paper we give an intuitive treatment of the discrete time quantization of classical Markov chains. Grover search and the quantum walk based search algorithms of Amba...
Miklos Santha