The Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems

Details The Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems The Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems

2002-07-15

arxiv.org/abs/math/0207121v3

Mathematics

Dynamical Systems

21 pages, extended version concerning subalgebras

Scientific paper

We formulate and prove a quantum Shannon-McMillan theorem. The theorem demonstrates the significance of the von Neumann entropy for translation invariant ergodic quantum spin systems on n-dimensional lattices: the entropy gives the logarithm of the essential number of eigenvectors of the system on large boxes. The one-dimensional case covers quantum information sources and is basic for coding theorems.

Affiliated with

Also associated with

No associations

Rating

The Shannon-McMillan Theorem for Ergodic Quantum Lattice 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 The Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Shannon-McMillan Theorem for Ergodic Quantum Lattice Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-376277