Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space

Details Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space

2011-02-07

arxiv.org/abs/1102.1360v1

Phys.Rev.Lett.106:170501,2011

Physics

Quantum Physics

Presented at QIP 2011

Scientific paper

10.1103/PhysRevLett.106.170501

We consider the manifold of all quantum many-body states that can be generated by arbitrary time-dependent local Hamiltonians in a time that scales polynomially in the system size, and show that it occupies an exponentially small volume in Hilbert space. This implies that the overwhelming majority of states in Hilbert space are not physical as they can only be produced after an exponentially long time. We establish this fact by making use of a time-dependent generalization of the Suzuki-Trotter expansion, followed by a counting argument. This also demonstrates that a computational model based on arbitrarily rapidly changing Hamiltonians is no more powerful than the standard quantum circuit model.

Affiliated with

Also associated with

No associations

Rating

Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space 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 Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum simulation of time-dependent Hamiltonians and the convenient illusion of Hilbert space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-681702