DocumentCode :
1232559
Title :
Low-Dimensional Bound Entanglement With One-Way Distillable Cryptographic Key
Author :
Horodecki, Karol ; Pankowski, Lukasz ; Horodecki, Michal ; Horodecki, Pawel
Author_Institution :
Inst. of Comput. Sci., Univ. of Gdansk, Gdansk
Volume :
54
Issue :
6
fYear :
2008
fDate :
6/1/2008 12:00:00 AM
Firstpage :
2621
Lastpage :
2625
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 otimes 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 otimes 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.
Keywords :
Hilbert spaces; bound states; quantum cryptography; quantum entanglement; Devetak-Winter protocol; Hilbert space; distillable cryptographic key; low-dimensional bound entanglement; quantum cryptography; Astrophysics; Cryptographic protocols; Cryptography; Hilbert space; Information theory; Paramagnetic resonance; Physics; Quantum entanglement; Quantum mechanics; Security; Bound entanglement; private bits; quantum cryptography; quantum information theory; quantum physics;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2008.921709
Filename :
4529274
Link To Document :
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