Random Private Quantum States
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
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Random Private Quantum States. / Christandl, Matthias; Ferrara, Roberto; Lancien, Cecilia.
2018 IEEE International Symposium on Information Theory, ISIT 2018. IEEE, 2018. s. 1784-1788.Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
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TY - GEN
T1 - Random Private Quantum States
AU - Christandl, Matthias
AU - Ferrara, Roberto
AU - Lancien, Cecilia
PY - 2018
Y1 - 2018
N2 - The study of properties of randomly chosen quantum states has in recent years led to many insights into quantum entanglement. In this work, we study private quantum states from this point of view. Private quantum states are bipartite quantum states characterized by the property that carrying out simple local measurements yields a secret bit. This feature is shared by the maximally entangled pair of quantum bits, yet private quantum states are more general and can in their most extreme form be almost bound entangled. In this work, we study the entanglement properties of random private quantum states and show that they are hardly distinguishable from separable states and thus have low repeatable key, despite containing one bit of key. The technical tools we develop are centered around the concept of locally restricted measurements and include a new operator ordering, bounds on norms under tensoring with entangled states and continuity bounds for relative entropy measures. A full version of this paper is accessible at: http://arxiv.org/abs/1801.2861 [1].
AB - The study of properties of randomly chosen quantum states has in recent years led to many insights into quantum entanglement. In this work, we study private quantum states from this point of view. Private quantum states are bipartite quantum states characterized by the property that carrying out simple local measurements yields a secret bit. This feature is shared by the maximally entangled pair of quantum bits, yet private quantum states are more general and can in their most extreme form be almost bound entangled. In this work, we study the entanglement properties of random private quantum states and show that they are hardly distinguishable from separable states and thus have low repeatable key, despite containing one bit of key. The technical tools we develop are centered around the concept of locally restricted measurements and include a new operator ordering, bounds on norms under tensoring with entangled states and continuity bounds for relative entropy measures. A full version of this paper is accessible at: http://arxiv.org/abs/1801.2861 [1].
UR - http://www.scopus.com/inward/record.url?scp=85052436356&partnerID=8YFLogxK
U2 - 10.1109/ISIT.2018.8437895
DO - 10.1109/ISIT.2018.8437895
M3 - Article in proceedings
AN - SCOPUS:85052436356
SN - 9781538647806
SP - 1784
EP - 1788
BT - 2018 IEEE International Symposium on Information Theory, ISIT 2018
PB - IEEE
T2 - 2018 IEEE International Symposium on Information Theory, ISIT 2018
Y2 - 17 June 2018 through 22 June 2018
ER -
ID: 203521266