Efficient Preparation of Quantum States With Exponential Precision
| dc.creator | Jaksch, Peter | |
| dc.date | 2005-12-27 | |
| dc.date.accessioned | 2026-07-07T07:00:10Z | |
| dc.date.available | 2026-07-07T07:00:10Z | |
| dc.description | It has been shown that, starting from the state |0>, in the general case, an arbitrary quantum state |ψ> cannot be prepared with exponential precision in polynomial time. However, we show that for the important special case when |ψ> represents discrete values of some real, continuous function ψ(x), efficient preparation is possible by applying the eigenvalue estimation algorithm to a Hamiltonian which has ψ(x) as an eigenstate. We construct the required Hamiltonian explicitly and present an iterative algorithm for removing unwanted superpositions from the output state in order to reach |ψ> within exponential accuracy. The method works under very general conditions and can be used to provide the quantum simulation algorithm with very accurate and general starting states. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0512238 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0512238 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107975 | |
| dc.subject | Quantum Physics | |
| dc.title | Efficient Preparation of Quantum States With Exponential Precision | |
| dc.type | text |