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Capacity of quantum channels, brief overview and recent progress

Modeling, Computation, Nonlinearity, Randomness and Waves Seminar

Capacity of quantum channels, brief overview and recent progress
Series: Modeling, Computation, Nonlinearity, Randomness and Waves Seminar
Location: Zoom Meeting
Presenter: Quntao Zhuang, Electrical and Computer Engineering, & Optical Sciences, University of Arizona

Founded by Claude Shannon’s seminal paper “A Mathematical Theory of Communication”, communication theory addresses the limits of communication over channels—models of the physical media for information transmission. For example, Shannon introduced the revolutionary idea that noise did not preclude reliable communication, just restricted its achievement to information rate below the channel capacity. Quantum communication allows the transmission of not only classical bits, but also secret-keys, and quantum information, which calls for a new theory. It is well known that entanglement can enhance the classical communication rate---where one sends two classical bits of zeros and ones in a single qubit being sent, by superdense coding. In fact, quantum channels allow the triple trade-off between classical communication, quantum communication and entanglement generation/consumption. Entanglement between different channel uses, however, makes it difficult to find the optimal encoding strategies and evaluate the capacity---the dilemma of superadditivity.  In this talk, I will give an overview of quantum information research in my group, then summarize some recent results on communication capacity.
Zoom Session


Related References: 

Elton Yechao Zhu, Quntao Zhuang, and Peter W. Shor, Superadditivity of the classical capacity with limited entanglement assistance, Phys. Rev. Lett. 119, 040503 (2017)


Elton Yechao Zhu, Quntao Zhuang, Min-Hsiu Hsieh, Peter W Shor, Superadditivity in trade-off capacities of quantum channels, IEEE Tran. Inf. Theory 65, 3973-89 (2018) 

Quntao Zhuang, Elton Yechao Zhu, and Peter W. Shor, Additive classical capacity of quantum channels assisted by noisy entanglement, Phys. Rev. Lett. 118, 200503 (2017)


Haowei Shi, Zheshen Zhang, and Quntao Zhuang, Practical Route to Entanglement-Assisted Communication Over Noisy Bosonic Channels, Phys. Rev. Applied 13, 034029 (2020) 

 Zoom Session