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2016

Universal Limit on Communication

Bousso, Raphael

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I derive a universal upper bound on the capacity of any communication channel between two distant systems.

The Holevo quantity, and hence the mutual information, is at most of order $E \Delta t / \hbar$, where $E$ is the average energy of the signal, and $\Delta t$ is the amount of time for which detectors operate.
The bound does not depend on the size or mass of the emitting and receiving systems, nor on the nature of the signal.
No restrictions on preparing and processing the signal are imposed.

Universal Limit on Communication · Around

Built on

A. S. Holevo, “Bounds for the quantity of information transmitted by a quantum communication channel,” Problems of Information Transmission
1973
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J. D. Bekenstein, “Energy Cost of Information Transfer,” Phys. Rev. Lett
1981
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J. D. Bekenstein, “A Universal Upper Bound on the Entropy to Energy Ratio for Bounded Systems,” Phys. Rev. D
1981
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J. D. Bekenstein, “Entropy Content and Information Flow in Systems with Limited Energy,” Phys. Rev. D
1984
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M. Srednicki, “Entropy and area,” Phys. Rev. Lett
1993
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J. Preskill, “Lecture notes on quantum computation.” Chapter 5, http://www.theory.caltech.edu/~preskill/ph229/#lecture , 1998
1998
Earlier work this paper cites.

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2008
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Then

R. Bousso, H. Casini, Z. Fisher, and J. Maldacena, “Proof of a Quantum Bousso Bound,” Phys.Rev
Original
2014
Later among the works it cites.
S. G. Avery and M. F. Paulos, “Universal Bounds on the Time Evolution of Entanglement Entropy,” Phys. Rev. Lett
Original
2014
Later among the works it cites.
R. Bousso, H. Casini, Z. Fisher, and J. Maldacena, “Entropy on a null surface for interacting quantum field theories and the Bousso bound,” Phys.Rev
Original
2015
Later among the works it cites.
R. Bousso, Z. Fisher, S. Leichenauer, and A. C. Wall, “Quantum Focusing Conjecture,” Phys. Rev
Original
2016
Closest in time.
R. Bousso, Z. Fisher, J. Koeller, S. Leichenauer, and A. C. Wall, “Proof of the Quantum Null Energy Condition,” Phys. Rev

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B. Schumacher and M. D. Westmoreland, “Relative entropy in quantum information theory,” arXiv:quant-ph/0004045

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R. Bousso, “Asymptotic Entropy Bounds,” arXiv:1606.02297 [hep-th]

Cited in the paper.

J. Koeller and S. Leichenauer, “Holographic Proof of the Quantum Null Energy Condition,” arXiv:1512.06109 [hep-th]

Cited in the paper.

2016

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