1990
DOI: 10.1142/s0129183190000207
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Quantum Limitations on the Storage and Transmission of Information

Abstract: Information must take up space, must weigh, and its flux must be limited. Quantum limits on communication and information storage leading to these conclusions are here described. Quantum channel capacity theory is reviewed for both steady state and burst communication. An analytic approximation is given for the maximum signal information possible with occupation number signal states as a function of mean signal energy. A theorem guaranteeing that these states are optimal for communication is proved. A heuristi… Show more

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Cited by 87 publications
(104 citation statements)
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“…Being a statement about entropy of a system, the universal bound can also be derived directly from statistical mechanics for simple (quantum) systems [49,50]. None of these analytical or numerical arguments have the simplicity or broad applicability of the argument described above.…”
Section: The Universal Information Boundmentioning
confidence: 99%
See 1 more Smart Citation
“…Being a statement about entropy of a system, the universal bound can also be derived directly from statistical mechanics for simple (quantum) systems [49,50]. None of these analytical or numerical arguments have the simplicity or broad applicability of the argument described above.…”
Section: The Universal Information Boundmentioning
confidence: 99%
“…Let us consider the limit λ c → ∞. The capacity of such a cutoff-free channel is known [50,57]. Regardless of the dispersion relation obeyed by the waveṡ…”
Section: Bounds On Information Flowmentioning
confidence: 99%
“…The solution obtained for the postulated metric give a place to imaginary numbers that allow glimpsing material with quantized energy. The theorem "a black hole has no hair" [14][15][16][17][18][19][20][21], concludes that the behavior of the gigantic mass compressed to a black hole with the mass of a mountain, is conceived by the quantum mechanics like a microscopic radius particle smaller than the radius of a neutron or a proton, which allows to demonstrate an intrinsic bond between General Relativity and the Quantum Theory through the Quantum Gravity. …”
mentioning
confidence: 99%
“…Absolute bounds on mass information density have been described in [22], but these limits assume matter in its densest possible state (a black hole) and are far larger than what can be obtained practically with ordinary matter. In contrast, clear limits on the maximum possible information storage density for ordinary inscribed matter are unknown.…”
Section: Empirical Mass Information Densitiesmentioning
confidence: 99%
“…In FIGURE 2 we provide iso-Ω contours as a function of D and A for communications with δ ¥ 10 3 (v about 7 times larger than solar escape velocity at earth distance) andρ ¥ 10 22 . Points corresponding to examples of receiver apertures and wavelengths at various distances are as shown.…”
Section: Interstellar Messagingmentioning
confidence: 99%