A Finite de Finetti Theorem for Infinite-Dimensional Systems

Details A Finite de Finetti Theorem for Infinite-Dimensional Systems A Finite de Finetti Theorem for Infinite-Dimensional Systems

2006-06-16

arxiv.org/abs/quant-ph/0606139v4

Phys. Rev. Lett. 98, 160406 (2007)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.98.160406

We formulate and prove a de Finetti representation theorem for finitely exchangeable states of a quantum system consisting of k infinite-dimensional subsystems. The theorem is valid for states that can be written as the partial trace of a pure state chosen from a family of subsets C_n of the full symmetric subspace for $n$ subsystems. We show that such states become arbitrarily close to mixtures of pure power states as n increases. We give a second equivalent characterization of the family C_n.

Affiliated with

Also associated with

No associations

Rating

A Finite de Finetti Theorem for Infinite-Dimensional Systems 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 Finite de Finetti Theorem for Infinite-Dimensional Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Finite de Finetti Theorem for Infinite-Dimensional Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390502