The Min-entropy as a Resource for One-Shot Private State Transfer, Quantum Masking and State Transition

• URL: http://arxiv.org/abs/2010.14796v1
• Date: Wed, 28 Oct 2020 07:30:27 GMT
• Title: The Min-entropy as a Resource for One-Shot Private State Transfer, Quantum Masking and State Transition
• Authors: Seok Hyung Lie and Seongjeon Choi and Hyunseok Jeong
• Abstract summary: We show that the min-entropy of entanglement of a pure bipartite state is the maximum number of qubits privately transferable. We show that the min-entropy of a quantum state is the half of the size of quantum state it can catalytically dephase.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We give an operational meaning to the min-entropy of a quantum state as a resource measure for various interconnected tasks. In particular, we show that the min-entropy without smoothing measures the amount of quantum information that can be hidden or encoded perfectly in the one-shot setting when the quantum state is used as a randomness/correlation source. First, we show that the min-entropy of entanglement of a pure bipartite state is the maximum number of qubits privately transferable when the state is used as quantum one-time pad. Then, through the equivalence of quantum secret sharing(QSS)-like protocols, it is also shown that the min-entropy of a quantum state is the maximum number of qubits that can be masked when the state is used as a randomness source for a quantum masking process. Consequently we show that the min-entropy of a quantum state is the half of the size of quantum state it can catalytically dephase.This gives a necessary and sufficient condition for catalysts for state transition processes.

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