Average coherence and its typicality for random mixed quantum states

作者：Zhang, Lin^*

来源：Journal of Physics A-Mathematical and Theoretical, 2017, 50(15): 155303.

DOI：10.1088/1751-8121/aa6179

• random quantum state
• quantum coherence
• Wishart ensemble
• entropy
• subentropy

The Wishart ensemble is a useful and important random matrix model used in diverse fields. By realizing induced random mixed quantum states as a Wishart ensemble with fixed unit trace, using matrix integral technique we give a fast track to the average coherence for random mixed quantum states induced via partial-tracing of the Haar-distributed bipartite pure states. As a direct consequence of this result, we get a compact formula for the average subentropy of random mixed states. These compact formulae extend our previous work.

• 出版日期2017-4-18
• 单位杭州电子科技大学