This study demonstrates what kind of quantum features can be seen at low temperatures in the motion of comparatively heavy atoms. An anharmonic double oscillator is taken here as an example to compare classical, semi-classical and quantum motion. In the two latter cases a classically simple motion m
Simulating quantum mechanics on a quantum computer
โ Scribed by Bruce M. Boghosian; Washington Taylor IV
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 864 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0167-2789
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โฆ Synopsis
Algorithms are described for efficiently simulating quantum mechanical systems on quantum computers. A class of algorithms for simulating the Schr6dinger equation for interacting many-body systems are presented in some detail. These algorithms would make it possible to simulate nonrelativistic quantum systems on a quantum computer with an exponential speedup compared to simulations on classical computers. Issues involved in simulating relativistic systems of Dirac or gauge particles are discussed.
๐ SIMILAR VOLUMES
We show that the time evolution of the wave function of a quantum mechanical many particle system can be implemented very efficiently on a quantum computer. The computational cost of such a simulation is comparable to the cost of a conventional simulation of the corresponding classical system. Ultim