A solvable model of quantum random optimization problems

Details A solvable model of quantum random optimization problems A solvable model of quantum random optimization problems

2010-06-09

arxiv.org/abs/1006.1736v3

Phys. Rev. Lett. 105, 167204 (2010)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, accepted version

Scientific paper

10.1103/PhysRevLett.105.167204

We study the quantum version of a simplified model of optimization problems, where quantum fluctuations are introduced by a transverse field acting on the qubits. We find a complex low-energy spectrum of the quantum Hamiltonian, characterized by an abrupt condensation transition and a continuum of level crossings as a function of the transverse field. We expect this complex structure to have deep consequences on the behavior of quantum algorithms attempting to find solutions to these problems.

Affiliated with

Also associated with

No associations

Rating

A solvable model of quantum random optimization problems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A solvable model of quantum random optimization problems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A solvable model of quantum random optimization problems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-39478