Adiabatic quantum computation with a one-dimensional projector Hamiltonian
Data(s) |
01/11/2009
|
---|---|
Resumo |
Adiabatic quantum computation is based on the adiabatic evolution of quantum systems. We analyze a particular class of quantum adiabatic evolutions where either the initial or final Hamiltonian is a one-dimensional projector Hamiltonian on the corresponding ground state. The minimum-energy gap, which governs the time required for a successful evolution, is shown to be proportional to the overlap of the ground states of the initial and final Hamiltonians. We show that such evolutions exhibit a rapid crossover as the ground state changes abruptly near the transition point where the energy gap is minimum. Furthermore, a faster evolution can be obtained by performing a partial adiabatic evolution within a narrow interval around the transition point. These results generalize and quantify earlier works. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/25322/1/GetPDFServlet.pdf Tulsi, Avatar (2009) Adiabatic quantum computation with a one-dimensional projector Hamiltonian. In: Physical Review A, 80 (5). |
Publicador |
The American Physical Society |
Relação |
http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLRAAN000080000005052328000001&idtype=cvips&gifs=yes http://eprints.iisc.ernet.in/25322/ |
Palavras-Chave | #Physics |
Tipo |
Journal Article PeerReviewed |