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Abstract
In this paper, we provide a class of bound entangled states that have positive distillable secure key rate. The smallest state of this kind is 4 circle times 4, which shows that peculiar security contained in bound entangled states does not need high-dimensional systems. We show that for these states a positive key rate can be obtained by one-way Devetak-Winter (DW) protocol. Subsequently, the volume of bound entangled key-distillable states for m circle times n Hilbert space with m, n >= 4 is shown to be nonzero. We provide a scheme of verification of cryptographic quality of experimentally prepared state in terms of local observables. Proposed set of seven collective settings is proven to be optimal in number of settings.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie z listy filadelfijskiej
- Published in:
-
IEEE TRANSACTIONS ON INFORMATION THEORY
no. 54,
pages 2621 - 2625,
ISSN: 0018-9448 - Language:
- English
- Publication year:
- 2008
- Bibliographic description:
- Horodecki K., Pankowski Ł., Horodecki M., Horodecki P.: Low-dimensional bound entanglement with one-way distillable cryptographic key// IEEE TRANSACTIONS ON INFORMATION THEORY. -Vol. 54., (2008), s.2621-2625
- DOI:
- Digital Object Identifier (open in new tab) 10.1109/tit.2008.921709
- Verified by:
- Gdańsk University of Technology
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