Device-independent randomness generation with sublinear shared quantum resources
In quantum cryptography, device-independent (DI) protocols can be certified secure without requiring assumptions about the inner workings of the devices used to perform the protocol. In order to display nonlocality, which is an essential feature in DI protocols, the device must consist of at least t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2018-08-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2018-08-22-86/pdf/ |
| _version_ | 1818546143826542592 |
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| author | Cédric Bamps Serge Massar Stefano Pironio |
| author_facet | Cédric Bamps Serge Massar Stefano Pironio |
| author_sort | Cédric Bamps |
| collection | DOAJ |
| description | In quantum cryptography, device-independent (DI) protocols can be certified secure without requiring assumptions about the inner workings of the devices used to perform the protocol. In order to display nonlocality, which is an essential feature in DI protocols, the device must consist of at least two separate components sharing entanglement. This raises a fundamental question: how much entanglement is needed to run such DI protocols? We present a two-device protocol for DI random number generation (DIRNG) which produces approximately $n$ bits of randomness starting from $n$ pairs of arbitrarily weakly entangled qubits. We also consider a variant of the protocol where $m$ singlet states are diluted into $n$ partially entangled states before performing the first protocol, and show that the number $m$ of singlet states need only scale sublinearly with the number $n$ of random bits produced. Operationally, this leads to a DIRNG protocol between distant laboratories that requires only a sublinear amount of quantum communication to prepare the devices. |
| first_indexed | 2024-12-12T07:49:12Z |
| format | Article |
| id | doaj.art-03c9cdc4a5524fb08d6fda40afbb8eb7 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-12-12T07:49:12Z |
| publishDate | 2018-08-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-03c9cdc4a5524fb08d6fda40afbb8eb72022-12-22T00:32:29ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2018-08-0128610.22331/q-2018-08-22-8610.22331/q-2018-08-22-86Device-independent randomness generation with sublinear shared quantum resourcesCédric BampsSerge MassarStefano PironioIn quantum cryptography, device-independent (DI) protocols can be certified secure without requiring assumptions about the inner workings of the devices used to perform the protocol. In order to display nonlocality, which is an essential feature in DI protocols, the device must consist of at least two separate components sharing entanglement. This raises a fundamental question: how much entanglement is needed to run such DI protocols? We present a two-device protocol for DI random number generation (DIRNG) which produces approximately $n$ bits of randomness starting from $n$ pairs of arbitrarily weakly entangled qubits. We also consider a variant of the protocol where $m$ singlet states are diluted into $n$ partially entangled states before performing the first protocol, and show that the number $m$ of singlet states need only scale sublinearly with the number $n$ of random bits produced. Operationally, this leads to a DIRNG protocol between distant laboratories that requires only a sublinear amount of quantum communication to prepare the devices.https://quantum-journal.org/papers/q-2018-08-22-86/pdf/ |
| spellingShingle | Cédric Bamps Serge Massar Stefano Pironio Device-independent randomness generation with sublinear shared quantum resources Quantum |
| title | Device-independent randomness generation with sublinear shared quantum resources |
| title_full | Device-independent randomness generation with sublinear shared quantum resources |
| title_fullStr | Device-independent randomness generation with sublinear shared quantum resources |
| title_full_unstemmed | Device-independent randomness generation with sublinear shared quantum resources |
| title_short | Device-independent randomness generation with sublinear shared quantum resources |
| title_sort | device independent randomness generation with sublinear shared quantum resources |
| url | https://quantum-journal.org/papers/q-2018-08-22-86/pdf/ |
| work_keys_str_mv | AT cedricbamps deviceindependentrandomnessgenerationwithsublinearsharedquantumresources AT sergemassar deviceindependentrandomnessgenerationwithsublinearsharedquantumresources AT stefanopironio deviceindependentrandomnessgenerationwithsublinearsharedquantumresources |