Random Private Quantum States

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Random Private Quantum States. / Christandl, Matthias; Ferrara, Roberto; Lancien, Cecilia.

In: IEEE Transactions on Information Theory, Vol. 66, No. 7, 2020, p. 4621-4640.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Christandl, M, Ferrara, R & Lancien, C 2020, 'Random Private Quantum States', IEEE Transactions on Information Theory, vol. 66, no. 7, pp. 4621-4640. https://doi.org/10.1109/TIT.2020.2973155

APA

Christandl, M., Ferrara, R., & Lancien, C. (2020). Random Private Quantum States. IEEE Transactions on Information Theory, 66(7), 4621-4640. https://doi.org/10.1109/TIT.2020.2973155

Vancouver

Christandl M, Ferrara R, Lancien C. Random Private Quantum States. IEEE Transactions on Information Theory. 2020;66(7):4621-4640. https://doi.org/10.1109/TIT.2020.2973155

Author

Christandl, Matthias ; Ferrara, Roberto ; Lancien, Cecilia. / Random Private Quantum States. In: IEEE Transactions on Information Theory. 2020 ; Vol. 66, No. 7. pp. 4621-4640.

Bibtex

@article{1d3517a927a94005a6ab8768fd765234,
title = "Random Private Quantum States",
abstract = "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 characterised 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 centred around the concept of locally restricted measurements and include a new operator ordering, bounds on norms under tensoring with entangled states and a continuity bound for a relative entropy measure.",
author = "Matthias Christandl and Roberto Ferrara and Cecilia Lancien",
year = "2020",
doi = "10.1109/TIT.2020.2973155",
language = "English",
volume = "66",
pages = "4621--4640",
journal = "IEEE Transactions on Information Theory",
issn = "0018-9448",
publisher = "Institute of Electrical and Electronics Engineers",
number = "7",

}

RIS

TY - JOUR

T1 - Random Private Quantum States

AU - Christandl, Matthias

AU - Ferrara, Roberto

AU - Lancien, Cecilia

PY - 2020

Y1 - 2020

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 characterised 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 centred around the concept of locally restricted measurements and include a new operator ordering, bounds on norms under tensoring with entangled states and a continuity bound for a relative entropy measure.

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 characterised 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 centred around the concept of locally restricted measurements and include a new operator ordering, bounds on norms under tensoring with entangled states and a continuity bound for a relative entropy measure.

U2 - 10.1109/TIT.2020.2973155

DO - 10.1109/TIT.2020.2973155

M3 - Journal article

VL - 66

SP - 4621

EP - 4640

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 7

ER -

ID: 243381516