By A. S. Holevo, C. M. Caves, H. P. Yuen, L. Accardi (auth.), O. Hirota, A. S. Holevo, C. M. Caves (eds.)

This quantity includes the lawsuits of the 3rd overseas convention on Quantum communique and dimension. The sequence of overseas meetings on quantum communique and dimension used to be confirmed to inspire scientists operating within the interdisciplinary examine fields of quantum verbal exchange technological know-how and expertise. the 1st such convention, geared up by way of C. Benjaballah and O. Hirota below the identify "Quantum facets of Optical Communication," assembled nearly eighty researchers in Paris in 1990. the second one convention, held in Nottingham in 1994, was once geared up by means of V. P. Belavkin, R. L. Hudson, and O. Hirota and attracted approximately one hundred thirty members from 22 international locations. the current convention, geared up through O. Hirota, A. S. Holevo, C. M. Caves, H. P. Yuen, and L. Accardi, used to be heldSeptember 25-30, 1996, in Fuji-Hakone Land, Japan, andjnvolved approximately one hundred twenty researchers from 15 international locations. the themes at this 3rd convention integrated the rules of quantum communi cation and data conception, quantum size concept, quantum cryptography and quantum computation, quantum units and high-precision measurements, gener ation of nonclassical gentle, and atom optics. certain emphasis used to be put on bringing jointly learn staff in experimental and engineering fields of quantum commu nication and quantum computing and theoreticians operating in quantum dimension and data thought. Nineteen plenary and parallel classes and one poster ses sion have been equipped, at which a complete of eighty two papers have been offered. fascinating and stimulating medical discussions happened among and after classes in addition to within the evenings.

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N). We denote the accessible information for the signal given by Eqs. l, 1/) and the accessible information for the 45 same signal in the absence of the thermal noise as I~~{(I' cP, /L, v). Then we obtain the inequality Iopt(;,cP,/L,v) ::; I~~{(;,cP,ji,v) from Eqs. (17) and (18). The renormalized parameters jij and Vj which include the thermal noise effects are related to the original parameters /Lj and Vj by Eq. (13). The inequality indicates that the upper bound of the accessible information for the signal in the presence of the thermal noise is obtained by replacing the signal parameters with the renormalized parameters including the thermal noise effects in the accessible information obtained for the same signal in the absence of the thermal noise.

It is my contention that such problems can be regarded as solved only if they are solved rigorously. I dream of a kind of future mathematics that is perfectly suited to physics, in which every fundamental entity or operation has an empirical interpretation. This mathematics would have many new uses I hope to be able to describe at some point, but at least there would be no question of abandoning rigor in the complete solution of a problem using this mathematics. In the meantime, we would still need to pursue rigor in addressing certain kinds of problems within the current mathematical formulation of physical laws, but this is not meant to undervalue the possible great importance of heuristics in any problem.

22] M. Horodecki, P. Horodecki, and R. Horodecki, "Distillability ofInseparable Quantum Systems" Report No. quant-ph/9607009, July 1996. [23] H. A. Fuchs, R. Jozsa, and B. Schumacher, "Noncommuting Mixed States Cannot be Broadcast", Report No. quant-ph/951l01O, November 1995. [24] States, Effects, and Operations: Fundamental Notions of Quantum Theory(Springer, OBerlin, 1983), see also B. Schumacher, "Sending Entanglement through Noisy Channels" Report No. quant-ph/9604023, April 1996. [25] R. Jozsa, "Fidelity for mixed quantum states", J.