Physics – Quantum Physics
Scientific paper
2000-11-16
Proc. Roy. Soc. (Lond.) A (2001), vol 457, p2019-2039
Physics
Quantum Physics
22 pages, Latex2e, journal version
Scientific paper
10.1098/rspa.2001.0816
Consider a source E of pure quantum states with von Neumann entropy S. By the quantum source coding theorem, arbitrarily long strings of signals may be encoded asymptotically into S qubits/signal (the Schumacher limit) in such a way that entire strings may be recovered with arbitrarily high fidelity. Suppose that classical storage is free while quantum storage is expensive and suppose that the states of E do not fall into two or more orthogonal subspaces. We show that if E can be compressed with arbitrarily high fidelity into A qubits/signal plus any amount of auxiliary classical storage then A must still be at least as large as the Schumacher limit S of E. Thus no part of the quantum information content of E can be faithfully replaced by classical information. If the states do fall into orthogonal subspaces then A may be less than S, but only by an amount not exceeding the amount of classical information specifying the subspace for a signal from the source.
Barnum Howard
Hayden Patrick
Jozsa Richard
Winter Andreas
No associations
LandOfFree
On the reversible extraction of classical information from a quantum source 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 On the reversible extraction of classical information from a quantum source, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the reversible extraction of classical information from a quantum source will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-447493