|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
20 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Models of Quantum Turing machines | | Paul Benioff
; | | Date: |
28 Aug 1997 | | Journal: | Fortsch.Phys. 46 (1998) 423-442 | | Subject: | quant-ph | | Affiliation: | Argonne National Laboratory | | Abstract: | Quantum Turing machines are discussed and reviewed in this paper. Most of the paper is concerned with processes defined by a step operator $T$ that is used to construct a Hamiltonian $H$ according to Feynman’s prescription. Differences between these models and the models of Deutsch are discussed and reviewed. It is emphasized that the models with $H$ constructed from $T$ include fully quantum mechanical processes that take computation basis states into linear superpositions of these states. The requirement that $T$ be distinct path generating is reviewed. The advantage of this requirement is that Schrödinger evolution under $H$ is one dimensional along distinct finite or infinite paths of nonoverlapping states in some basis $B_{T}$. It is emphasized that $B_{T}$ can be arbitrarily complex with extreme entanglements between states of component systems. The new aspect of quantum Turing machines introduced here is the emphasis on the structure of graphs obtained when the states in the $B_{T}$ paths are expanded as linear superpositions of states in a reference basis such as the computation basis $B_{C}$. Examples are discussed that illustrate the main points of the paper. For one example the graph structures of the paths in $B_{T}$ expanded as states in $B_{C}$ include finite stage binary trees and concatenated finite stage binary trees with or without terminal infinite binary trees. Other examples are discussed in which the graph structures correspond to interferometers and iterations of interferometers. | | Source: | arXiv, quant-ph/9708054 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER