|
| related topics |
| {theory, mechanics, state} |
| {information, entropy, channel} |
| {entanglement, phys, rev} |
| {measurement, state, measurements} |
| {alice, bob, state} |
| {time, decoherence, evolution} |
| {time, systems, information} |
| {state, algorithm, problem} |
| {particle, mechanics, theory} |
| {vol, operators, histories} |
|
Towards a unification of physics and information theory
I. Devetak, A. E. Staples
abstract: A common framework for quantum mechanics, thermodynamics and information
theory is presented. It is accomplished by reinterpreting the mathematical
formalism of Everett's many-worlds theory of quantum mechanics and augmenting
it to include preparation according to a given ensemble. The notion of
\emph{directed entanglement} is introduced through which both classical and
quantum communication over quantum channels are viewed as entanglement
transfer. This point is illustrated by proving the Holevo bound and quantum
data processing inequality relying exclusively on the properties of directed
entanglement. Within the model, quantum thermodynamic entropy is also related
to directed entanglement, and a simple proof of the second law of
thermodynamics is given.
- oai_identifier:
- oai:arXiv.org:quant-ph/0112166
- categories:
- quant-ph
- comments:
- 8 pages, LaTeX; title changed, paper reorganized & proof of second
law added
- arxiv_id:
- quant-ph/0112166
- created:
- 2001-12-26
- updated:
- 2002-04-03
Full article ▸
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