dc.contributor.author | Eltschka, Christopher | |
dc.contributor.author | Huber, Marcus | |
dc.contributor.author | Morelli, Simon | |
dc.contributor.author | Siewert, Jens ![ORCID](/themes/Mirage2//images/orcid_16x16.png) | |
dc.date.accessioned | 2021-09-02T10:17:47Z | |
dc.date.available | 2021-09-02T10:17:47Z | |
dc.date.issued | 2021-06-29 | |
dc.identifier.citation | Quantum 5 : (2021) // Article ID 485 | es_ES |
dc.identifier.issn | 2521-327X | |
dc.identifier.uri | http://hdl.handle.net/10810/52908 | |
dc.description.abstract | [EN] Geometric intuition is a crucial tool to
obtain deeper insight into many concepts
of physics. A paradigmatic example of its
power is the Bloch ball, the geometrical
representation for the state space of the
simplest possible quantum system, a two-level
system (or qubit). However, already for a
three-level system (qutrit) the state space
has eight dimensions, so that its complexity
exceeds the grasp of our three-dimensional
space of experience. This is unfortunate, given
that the geometric object describing the state
space of a qutrit has a much richer structure
and is in many ways more representative for
a general quantum system than a qubit. In
this work we demonstrate that, based on the
Bloch representation of quantum states, it
is possible to construct a three dimensional
model for the qutrit state space that captures
most of the essential geometric features of
the latter. Besides being of indisputable
theoretical value, this opens the door to a
new type of representation, thus extending
our geometric intuition beyond the simplest
quantum systems. | es_ES |
dc.description.sponsorship | This work was funded by the German Research
Foundation Project EL710/2-1 (C.E., J.S.), by
grant PGC2018-101355-B-100 (MCIU/FEDER,UE)
and Basque Government grant IT986-16 (J.S.). C.E.
and J.S. acknowledge Klaus Richter's support for
this project. M.H. and S.M. acknowledge funding
from the Austrian Science Fund (FWF) through the
START project Y879-N27 and the stand-alone project
P 31339-N27. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften | es_ES |
dc.relation | info:eu-repo/grantAgreement/MINECO/PGC2018-101355-B-100 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.title | The shape of higher-dimensional state space: Bloch-ball analog for a qutrit | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions. | es_ES |
dc.rights.holder | Atribución 3.0 España | * |
dc.relation.publisherversion | https://quantum-journal.org/papers/q-2021-06-29-485 | es_ES |
dc.identifier.doi | 10.22331/q-2021-06-29-485 | |
dc.departamentoes | Química física | es_ES |
dc.departamentoeu | Kimika fisikoa | es_ES |