TY - JOUR
T1 - Device-independent certification of one-shot distillable entanglement
AU - Arnon-Friedman, Rotem
AU - Bancal, Jean-Daniel
N1 - We thank Renato Renner, David Sutter, and Thomas Vidick for helpful discussions. We also thank Valerio Scarani for inviting RAF to visit his group at CQT Singapore, where the work on this project was initiated. RAF acknowledges support from the Swiss National Science Foundation (grant No. 200020-135048) via the National Centre of Competence in Research 'Quantum Science and Technology' and by the US Air Force Office of Scientific Research (grant No. FA9550-16-1-0245). JDB acknowledges support from the Swiss National Science Foundation (SNSF), through the Grant number PP00P2-179109.
PY - 2019/3/15
Y1 - 2019/3/15
N2 - Entanglement sources that produce many entangled states act as a main component in applications exploiting quantum physics such as quantum communication and cryptography. Realistic sources are inherently noisy, cannot run for an infinitely long time, and do not necessarily behave in an independent and identically distributed manner. An important question then arises-how can one test, or certify, that a realistic source produces high amounts of entanglement? Crucially, a meaningful and operational solution should allow us to certify the entanglement which is available for further applications after performing the test itself (in contrast to assuming the availability of an additional source which can produce more entangled states, identical to those which were tested). To answer the above question and lower bound the amount of entanglement produced by an uncharacterised source, we present a protocol that can be run by interacting classically with uncharacterised (but not entangled to one another) measurement devices used to measure the states produced by the source. A successful run of the protocol implies that the remaining quantum state has high amounts of one-shot distillable entanglement. That is, one can distill many maximally entangled states out of the single remaining state. Importantly, our protocol can tolerate noise and, thus, certify entanglement produced by realistic sources. With the above properties, the protocol acts as the first 'operational device-independent entanglement certification protocol' and allows one to test and benchmark uncharacterised entanglement sources which may be otherwise incomparable.
AB - Entanglement sources that produce many entangled states act as a main component in applications exploiting quantum physics such as quantum communication and cryptography. Realistic sources are inherently noisy, cannot run for an infinitely long time, and do not necessarily behave in an independent and identically distributed manner. An important question then arises-how can one test, or certify, that a realistic source produces high amounts of entanglement? Crucially, a meaningful and operational solution should allow us to certify the entanglement which is available for further applications after performing the test itself (in contrast to assuming the availability of an additional source which can produce more entangled states, identical to those which were tested). To answer the above question and lower bound the amount of entanglement produced by an uncharacterised source, we present a protocol that can be run by interacting classically with uncharacterised (but not entangled to one another) measurement devices used to measure the states produced by the source. A successful run of the protocol implies that the remaining quantum state has high amounts of one-shot distillable entanglement. That is, one can distill many maximally entangled states out of the single remaining state. Importantly, our protocol can tolerate noise and, thus, certify entanglement produced by realistic sources. With the above properties, the protocol acts as the first 'operational device-independent entanglement certification protocol' and allows one to test and benchmark uncharacterised entanglement sources which may be otherwise incomparable.
UR - http://www.scopus.com/inward/record.url?scp=85064901595&partnerID=8YFLogxK
U2 - https://doi.org/10.1088/1367-2630/aafef6
DO - https://doi.org/10.1088/1367-2630/aafef6
M3 - مقالة
SN - 1367-2630
VL - 21
JO - New Journal of Physics
JF - New Journal of Physics
IS - 3
M1 - 033010
ER -