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Title: Conditions for degradability of tripartite quantum states
Authors: Fung, CHF
Li, CK
Sze, NS 
Chau, HF
Keywords: Quantum communication
Quantum cryptography
Quantum entanglement
Quantum information
Transformability of states
Issue Date: 2014
Publisher: Iop Publishing Ltd
Source: Journal of physics a : mathematical and theoretical, 2014, v. 47, no. 11, 115306 How to cite?
Journal: Journal of Physics A: Mathematical and Theoretical 
Abstract: Alice, Bob, and Eve share a pure quantum state. We introduce the notion of state degradability by asking whether the joint density of Alice and Eve can be transformed to the joint density of Alice and Bob by processing Eve's part through a quantum channel, in order words, degrading Eve. We prove necessary and sufficient conditions for state degradability and provide an efficient method to quickly rule out degradability for a given state. The problem of determining degradability of states is different from that of quantum channels, although the notion is similar. One application of state degradability is that it can be used to test channel degradability. In particular, the degradability of the output state of a channel obtained from the maximally entangled input state gives information about the degradability of the channel.
ISSN: 1751-8113
DOI: 10.1088/1751-8113/47/11/115306
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