Work

Minimal control power of controlled dense coding and genuine tripartite entanglement

Year: 2017

Type: article

Abstract: We investigate minimal control power (MCP) for controlled dense coding defined by the channel capacity. We obtain MCPs for extended three-qubit Greenberger-Horne-Zeilinger (GHZ) states and generalized three-qubit W states. Among those GHZ states, the standard GHZ state is found to maximize the MCP and so does the standard W state among the W-type states. We find the lower and upper bounds of the MCP and show for pure states that the lower bound, zero, is achieved if and only if the three-qubit state is biseparable or fully separable. The upper bound is achieved only for the standard GHZ state. Since the MCP is nonzero only when three-qubit entanglement exists, this quantity may be a good candidate to measure the degree of genuine tripartite entanglement.

Source: Scientific Reports

DOI: 10.1038/s41598-017-03822-6

Authors: Changhun Oh, Hoyong Kim, Kabgyun Jeong, Hyunseok Jeong

Institutions: Seoul National University, Korea Institute for Advanced Study

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,690

Funders: National Research Foundation, Ministry of Science, ICT and Future Planning, Korea Institute of Science and Technology, National Research Foundation of Korea