Abstract

We investigate a quantum communication protocol, of so-called approximate quantum state sharing (AQSS), that protocol is basically based on pair of private quantum channels. In this paper, we prove that the scheme is secure against any external and internal attacks of wiretapping in principle. Although the protocol leaks small amount of information corresponding to a security parameter , the scheme still preserves its information-theoretic security.

Highlights

  • Quantum physics promises perfect and well-defined randomness, in this way, most of all quantum information-theoretic primitives try to offer an unconditional security given by the quantum randomness

  • We propose an approximate quantum state sharing (AQSS) scheme in which participants use two parallel approximate private quantum channels (APQC)

  • In this subsection we introduce a bilateral form of private quantum channels

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Summary

Introduction

Quantum physics promises perfect and well-defined randomness, in this way, most of all quantum information-theoretic primitives try to offer an unconditional security given by the quantum randomness. (2014) Approximate Quantum State Sharings via Pair of Private Quantum Channels. There are many applications of the private quantum channel in quantum information science [4] [7] [8] and it is mostly originated from the approximate version of PQC. We propose an approximate quantum state sharing (AQSS) scheme in which participants use two parallel approximate private quantum channels (APQC). For the state φAB , perfect randomization protocol requires exactly the amount of 4 log d -bits of unitary operations ( 2 log d -bits for Alice and Bob, respectively), where d is the dimension of the input quantum state ρA(B) := trB( A)φAB through each random unitary channels.

Random Unitary Channel and Its Properties
Approximate Quantum State Sharing Protocol
Conclusion
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