Secure Key Distribution via Pre- and Post-Selected Quantum States

@article{Bub2001SecureKD,
  title={Secure Key Distribution via Pre- and Post-Selected Quantum States},
  author={Jeffrey Bub},
  journal={Physical Review A},
  year={2001},
  volume={63},
  pages={032309}
}
  • J. Bub
  • Published 19 June 2000
  • Physics
  • Physical Review A
A quantum key distribution scheme whose security depends on the features of pre- and post-selected quantum states is described. 
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20 Citations
Highly Influential Citations
6
Background Citations
7
Methods Citations
10

20 Citations

Citation Type

Citation Type

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This paper discusses the quantum key distribution using the Mean King Problem which was proposed by J. Bub in 2001 and derives two trade-off inequalities showing that the larger Eve's information gain is, the higher the detectability becomes.
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In information processing, as in physics, the classical world view provides an incomplete approximation to an underlying quantum reality that can be harnessed to break codes, create unbreakable codes, and speed up otherwise intractable computations.
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It is shown that not all the solutions of the Mean King problem are available to construct a secure protocol and a protocol that is tolerant with three attack scenarios is considered and a trade-off inequality between Eve's information gain and error probability observed by the legitimate users is derived.
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TLDR
It is shown that solving Mean King’s problem are necessary but are not sufficient to construct secure quantum key distribution protocol, and modification of measurement scheme in quantum key Distribution protocol using Mean King's problem is modified.
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The authors' inequalities show that eavesdropper’s extracting information regarding the secret keys inevitably induces disturbing the states and increasing the error probability of the bit sequence shared with the legitimate users.
Intercept/resend and translucent attacks on the quantum key distribution protocol based on the pre- and post-selection effect
TLDR
From rigorous mathematical and numerical analyses, it is concluded that Bub’s protocol is weaker than the BennettBrassard protocol of 1984 (BB84) against both the intercept/resend and translucent attacks.
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References

SHOWING 1-2 OF 2 REFERENCES
The Quantum Bit Commitment Theorem
TLDR
The quantum bit commitment theorem is reviewed here and the central conceptual point, that an “Einstein–Podolsky–Rosen” attack or cheating strategy can always be applied, is clarified and the question of whether following such a cheat strategy can ever be disadvantageous to the cheater is considered and answered in the negative.
Spin measurement retrodiction revisited
The retrodiction of spin measurements along a set of different axes is revisited in detail. The problem is presented in two different pictures, a geometric and a general algebraic one. Explicit…