Graph isomorphism and adiabatic quantum computing
نویسندگان
چکیده
منابع مشابه
Graph isomorphism and adiabatic quantum computing
In the Graph Isomorphism (GI) problem two N -vertex graphs G and G′ are given and the task is to determine whether there exists a permutation of the vertices of G that preserves adjacency and transforms G → G′. If yes, then G and G′ are said to be isomorphic; otherwise they are non-isomorphic. The GI problem is an important problem in computer science and is thought to be of comparable difficul...
متن کاملAdiabatic Quantum Computing: An Overview
Quantum computations can be implemented not only by the action of quantum circuits, but by the adiabatic evolution of a system’s Hamiltonian. This can be done by initializing the system into the ground state of a simple Hamiltonian, and then adiabatically evolving the Hamiltonian to one whose ground state encodes the solution to the problem. The time complexity of the problem, or more basically...
متن کاملRamsey numbers and adiabatic quantum computing.
The graph-theoretic Ramsey numbers are notoriously difficult to calculate. In fact, for the two-color Ramsey numbers R(m,n) with m, n≥3, only nine are currently known. We present a quantum algorithm for the computation of the Ramsey numbers R(m,n). We show how the computation of R(m,n) can be mapped to a combinatorial optimization problem whose solution can be found using adiabatic quantum evol...
متن کاملRandom matrix model of adiabatic quantum computing
We present an analysis of the quantum adiabatic algorithm for solving hard instances of 3-SAT san NPcomplete problemd in terms of random matrix theory sRMTd. We determine the global regularity of the spectral fluctuations of the instantaneous Hamiltonians encountered during the interpolation between the starting Hamiltonians and the ones whose ground states encode the solutions to the computati...
متن کاملGraph Invariants and Graph Isomorphism
In graph theory, Graph Isomorphism is an important issue. Information in the database can be stored in the form of graph. Graph represents the structural information in an efficient way. Graph Isomorphism problem is to determine if there exists one to one correspondence between the structures of two graphs. Graph isomorphism problem arises in many fields such as chemistry, switching theory, inf...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2014
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.89.022342