| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0399530 |
| utime |
20240103203337.8 |
| mtime |
20131203235959.9 |
| SCOPUS |
84908223113 |
| DOI |
10.4230/LIPIcs.TQC.2013.270 |
| title
(primary) (eng) |
The Quantum Entropy Cone of Stabiliser States |
| specification |
| page_count |
15 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0399712 |
| ISBN |
978-3-939897-55-2 |
| ISSN |
1868-8969 |
| title
|
Proceedings of the 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013) |
| page_num |
270-284 |
| publisher |
| place |
Dagstuhl |
| name |
Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik |
| year |
2013 |
|
| editor |
|
| editor |
|
|
| keyword |
Entropy inequalities |
| keyword |
Stabiliser states |
| keyword |
Ingleton inequality |
| author
(primary) |
| ARLID |
cav_un_auth*0297028 |
| name1 |
Linden |
| name2 |
N. |
| country |
GB |
|
| author
|
| ARLID |
cav_un_auth*0101161 |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| name1 |
Matúš |
| name2 |
František |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0297029 |
| name1 |
Ruskai |
| name2 |
M. B. |
| country |
CA |
|
| author
|
| ARLID |
cav_un_auth*0297030 |
| name1 |
Winter |
| name2 |
A. |
| country |
GB |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0292670 |
| project_id |
GA13-20012S |
| agency |
GA ČR |
|
| abstract
(eng) |
We investigate the universal linear inequalities that hold for the von Neumann entropies in a multi-party system, prepared in a stabiliser state. We demonstrate here that entropy vectors for stabiliser states satisfy, in addition to the classic inequalities, a type of linear rank inequalities associated with the combinatorial structure of normal subgroups of certain matrix groups. In the 4-party case, there is only one such inequality, the so-called Ingleton inequality. For these systems we show that strong subadditivity, weak monotonicity and Ingleton inequality exactly characterize the entropy cone for stabiliser states. |
| action |
| ARLID |
cav_un_auth*0296881 |
| name |
Conference on Theory of Quantum Computation, Communication and Cryptography /8./ |
| dates |
2013 |
| place |
Guelph |
| country |
CA |
|
| RIV |
BA |
| reportyear |
2014 |
| num_of_auth |
4 |
| presentation_type |
PR |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0226948 |
| arlyear |
2013 |
| mrcbU14 |
84908223113 SCOPUS |
| mrcbU63 |
cav_un_epca*0399712 Proceedings of the 8th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2013) 978-3-939897-55-2 1868-8969 270 284 Dagstuhl Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik 2013 Leibniz International Proceedings in Informatics 22 |
| mrcbU67 |
Severini S. 340 |
| mrcbU67 |
Brandao F. 340 |
|