Additive Classical Capacity of Quantum Channels Assisted by Noisy Entanglement
Name
PhysRevLett.118.200503.pdf
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667.38 KB
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Author(s)
Zhuang, Quntao
Zhu, Elton
Shor, Peter Williston
Date Issued
May 2017
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Zhuang, Quntao, Elton Yechao Zhu, and Peter W. Shor. “Additive Classical Capacity of Quantum Channels Assisted by Noisy Entanglement.” Physical Review Letters 118.20 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
Abstract
We give a capacity formula for the classical information transmission over a noisy quantum channel, with separable encoding by the sender and limited resources provided by the receiver’s preshared ancilla. Instead of a pure state, we consider the signal-ancilla pair in a mixed state, purified by a “witness.” Thus, the signal-witness correlation limits the resource available from the signal-ancilla correlation. Our formula characterizes the utility of different forms of resources, including noisy or limited entanglement assistance, for classical communication. With separable encoding, the sender’s signals across multiple channel uses are still allowed to be entangled, yet our capacity formula is additive. In particular, for generalized covariant channels, our capacity formula has a simple closed form. Moreover, our additive capacity formula upper bounds the general coherent attack’s information gain in various two-way quantum key distribution protocols. For Gaussian protocols, the additivity of the formula indicates that the collective Gaussian attack is the most powerful.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Research Laboratory of Electronics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.118.200503
