Entanglement generation secure against general attacks. (8th November 2017)

• Record Type: Journal Article
• Authors: Pirker, Alexander; Dunjko, Vedran; Dür, Wolfgang; Briegel, Hans J
• Is Part Of: New journal of physics. Volume 19:Number 11(2017:Nov.)
• Publication Date: 2017-11-08
• Subjects: quantum cryptography -- quantum communication -- quantum information; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/aa8086
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: We present a security proof for establishing private entanglement by means of recurrence-type entanglement distillation protocols over noisy quantum channels. We consider protocols where the local devices are imperfect, and show that nonetheless a confidential quantum channel can be established, and used to e.g. perform distributed quantum computation in a secure manner. While our results are not fully device independent (which we argue to be unachievable in settings with quantum outputs), our proof holds for arbitrary channel noise and noisy local operations, and even in the case where the eavesdropper learns the noise. Our approach relies on non-trivial properties of distillation protocols which are used in conjunction with de-Finetti and post-selection-type techniques to reduce a general quantum attack in a non-asymptotic scenario to an i.i.d. setting. As a side result, we also provide entanglement distillation protocols for non-i.i.d. input states.