Infinitely entangled states

Details Infinitely entangled states Infinitely entangled states

2002-12-02

arxiv.org/abs/quant-ph/0212014v1

Physics

Quantum Physics

16 pages, revtex4

Scientific paper

For states in infinite dimensional Hilbert spaces entanglement quantities like the entanglement of distillation can become infinite. This leads naturally to the question, whether one system in such an infinitely entangled state can serve as a resource for tasks like the teleportation of arbitrarily many qubits. We show that appropriate states cannot be obtained by density operators in an infinite dimensional Hilbert space. However, using techniques for the description of infinitely many degrees of freedom from field theory and statistical mechanics, such states can nevertheless be constructed rigorously. We explore two related possibilities, namely an extended notion of algebras of observables, and the use of singular states on the algebra of bounded operators. As applications we construct the essentially unique infinite analogue of maximally entangled states, and the singular state used heuristically in the fundamental paper of Einstein, Rosen and Podolsky.

Affiliated with

Also associated with

No associations

Rating

Infinitely entangled states 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 Infinitely entangled states, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Infinitely entangled states will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-602813