Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Device-independent quantum key distribution based on measurement inputs   We provide an analysis of a new family of device independent quantum key
distribution (QKD) protocols with several novel features: (a) The bits used for
the secret key do not come from the results of the measurements on an entangled
state but from the choices of settings; (b) Instead of a single security
parameter (a violation of some Bell inequality) a set of them is used to
estimate the level of trust in the secrecy of the key. The main advantage of
these protocols is a smaller vulnerability to imperfect random number
generators made possible by feature (a). We prove the security and the
robustness of such protocols. We show that using our method it is possible to
construct a QKD protocol which retains its security even if the source of
randomness used by communicating parties is strongly biased. As a proof of
principle, an explicit example of a protocol based on the Hardy's paradox is
presented. Moreover, in the noiseless case, the protocol is secure in a natural
way against any type of memory attack, and thus allows to reuse the device in
subsequent rounds. We also analyse the robustness of the protocol using
semi-definite programming methods. Finally, we present a post-processing
method, and observe a paradoxical property that rejecting some random part of
the private data can increase the key rate of the protocol.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph