Showing papers on "Quantum error correction published in 1977"
TL;DR: In this article, an analogue of this basic proposition is presented for single-channel quantum scattering systems, and the importance of this proposition is that it reduces the completeness question to the proof of the existence of a limit.
Abstract: 1. Introduction The basic questions of single channel scattering systems depend on the existence of the generalized wave operators where Pa,(.) is the projection onto the absolutely continuous space for a selfadjoint operator, (see [19], Chap. VII for the necessary spectral theory background) and their completeness In this context, the following elementary proposition is well-known and fundamental: PROPOSITION. Suppose that n*(A, B) exist. Then O*(A, B) are complete if and only if R*(B, A) exist. The importance of this proposition is that it reduces the completeness question to the proof of the existence of a limit. This timedependent approach to scattering has been raised to a high art by Kato, Kuroda, and Birman (see Kato [14] or Reed-Simon [20] for textbook presentations, or Pearson [18] for a recent and significant simplification). Our goal in this note is to prove an analogue of this basic proposition for rnultiparticle quantum
45 citations
TL;DR: A mathematical formulation of the notion of an idealized continuous time quantum-mechanical communication system is given, using ideas from stochastic processes and from quantum field theory.
Abstract: A mathematical formulation of the notion of an idealized continuous time quantum-mechanical communication system is given, using ideas from stochastic processes and from quantum field theory. The formalism is developed at an abstract level and illustrated by constructing a model of a coherent quantum communication system.
22 citations
TL;DR: In this article, it was shown that the well-known quantum correction factor for thermal noise must also be introduced into Schottky's theorem for shot noise in single currents crossing barriers, since otherwise the second law of thermodynamics would be violated.
Abstract: It is shown that the well-known quantum correction factor for thermal noise must also be introduced into Schottky's theorem for shot noise in single currents crossing barriers, since otherwise the second law of thermodynamics would be violated.
1 citations