A New Proof of the Quantum Noiseless Coding Theorem
نویسندگان
چکیده
We give an account of the quantum noiseless coding theorem, including a new proof based on a simpliied block coding scheme. We also discuss an illustrative example of quantum coding.
منابع مشابه
Stationary quantum source coding
In this paper the quantum version of the source coding theorem is obtained for a completely ergodic source. This result extends Schumacher’s quantum noiseless coding theorem for memoryless sources. The control of the memory effects requires some earlier results of Hiai and Petz on high probability subspaces. Our result is equivalently considered as a compression theorem for noiseless stationary...
متن کاملChannels with Arbitrarily Varying Channel Probability Functions in the Presence of Noiseless Feedback
In this article we study a channel with arbitrarily varying channel probability functions in the presence of a noiseless feedback channel (a. v. ch. f.). We determine its capacity by proving a coding theorem and its strong converse. Our proof of the coding theorem is constructive; we give explicitly a coding scheme which performs at any rate below the capacity with an arbitrarily small decoding...
متن کاملA new proof for the Banach-Zarecki theorem: A light on integrability and continuity
To demonstrate more visibly the close relation between thecontinuity and integrability, a new proof for the Banach-Zareckitheorem is presented on the basis of the Radon-Nikodym theoremwhich emphasizes on measure-type properties of the Lebesgueintegral. The Banach-Zarecki theorem says that a real-valuedfunction $F$ is absolutely continuous on a finite closed intervalif and only if it is continuo...
متن کاملQuantum sources and a quantum coding theorem
We define a large class of quantum sources and prove a quantum analog of the asymptotic equipartition property. Our proof relies on using local measurements on the quantum source to obtain an associated classical source. The classical source provides an upper bound for the dimension of the relevant subspace of the quantum source, via the Shannon-McMillan noiseless coding theorem. Along the way ...
متن کاملD ec 1 99 9 Unconditional Security Of Quantum Key Distribution Over Arbitrarily Long Distances ∗
Quantum key distribution is widely thought to offer unconditional security in communication between two users. Unfortunately, a widely accepted proof of its security in the presence of source, device and channel noises has been missing. This long-standing problem is solved here by showing that, given fault-tolerant quantum computers, quantum key distribution over an arbitrarily long distance of...
متن کامل