dc.identifier.uri |
http://dx.doi.org/10.15488/378 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/401 |
|
dc.contributor.author |
Nakata, Yoshifumi
|
|
dc.contributor.author |
Koashi, Masato
|
|
dc.contributor.author |
Murao, Mio
|
|
dc.date.accessioned |
2016-08-12T07:48:13Z |
|
dc.date.available |
2016-08-12T07:48:13Z |
|
dc.date.issued |
2014-05-22 |
|
dc.identifier.citation |
Nakata, Yoshifumi; Koashi, Masato; Murao, Mio: Generating a state t-design by diagonal quantum circuits. In: New Journal of Physics 16 (2014), 53043. DOI: http://dx.doi.org/10.1088/1367-2630/16/5/053043 |
|
dc.description.abstract |
We investigate protocols for generating a state t-design by using a fixed separable initial state and a diagonal-unitary t-design in the computational basis, which is a t-design of an ensemble of diagonal unitary matrices with random phases as their eigenvalues. We first show that a diagonal-unitary t-design generates a O (1/2(N))-approximate state t-design, where N is the number of qubits. We then discuss a way of improving the degree of approximation by exploiting non-diagonal gates after applying a diagonal-unitary t-design. We also show that it is necessary and sufficient to use O (log(2)(t)) -qubit gates with random phases to generate a diagonal-unitary t-design by diagonal quantum circuits, and that each multi-qubit diagonal gate can be replaced by a sequence of multi-qubit controlled-phase-type gates with discrete-valued random phases. Finally, we analyze the number of gates for implementing a diagonal-unitary t-design by non-diagonal two- and one-qubit gates. Our results provide a concrete application of diagonal quantum circuits in quantum informational tasks. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Bristol : IOP Publishing Ltd. |
|
dc.relation.ispartofseries |
New Journal of Physics 16 (2014) |
|
dc.rights |
CC BY 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/3.0/de/ |
|
dc.subject |
diagonal quantum circuit |
eng |
dc.subject |
state t-design |
eng |
dc.subject |
random states |
eng |
dc.subject |
k-designs |
eng |
dc.subject |
computation |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Generating a state t-design by diagonal quantum circuits |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
1367-2630 |
|
dc.relation.doi |
http://dx.doi.org/10.1088/1367-2630/16/5/053043 |
|
dc.bibliographicCitation.volume |
16 |
|
dc.bibliographicCitation.firstPage |
53043 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|