ar X iv : m at h - ph / 0 41 10 55 v 1 1 6 N ov 2 00 4 Robustness of dynamical entropy
نویسندگان
چکیده
When quantifying the mixing properties of a quantum dynamical system in terms of dynamical entropy, the following scheme appears natural: observe the state of the system at regular time intervals while it evolves and determine the entropy produced over time. It is clear that this entropy will not only depend on the type of dynamics, but also on the type of observations. Intuitively, one can expect that some measurements are better suited than others to reveal information about the dynamics, whereas many will generate undesirable noise. In this paper, we show for two widely used model systems that the dynamical entropy is rather robust in this respect. More precisely, general local positive operator-valued measurements may be restricted to von Neumann type measurements for the shift on a quantum spin chain and gauge-invariant ones for the shift on a Fermion chain.
منابع مشابه
ar X iv : h ep - l at / 0 11 00 06 v 3 6 N ov 2 00 1 1 Matrix elements of ∆ S = 2 operators with Wilson fermions
متن کامل
ar X iv : h ep - l at / 0 41 10 36 v 1 2 5 N ov 2 00 4 Progress Towards finding Quark Masses and the QCD scale Λ from the Lattice
We discuss recent work trying to extract the renormalised quark masses and Λ, the QCD scale, from dynamical simulations in lattice gauge theory.
متن کاملar X iv : 0 71 1 . 41 28 v 1 [ m at h - ph ] 2 6 N ov 2 00 7 Mean field limit for bosons and infinite dimensional phase - space analysis
This article proposes the construction of Wigner measures in the infinite dimensional bosonic quantum field theory, with applications to the derivation of the mean field dynamics. Once these asymptotic objects are well defined, it is shown how they can be used to make connections between different kinds of results or to prove new ones.
متن کاملar X iv : m at h - ph / 0 31 10 01 v 4 3 N ov 2 00 4 Clifford Valued Differential Forms , Algebraic Spinor Fields
متن کامل
ar X iv : h ep - p h / 04 11 18 6 v 1 1 3 N ov 2 00 4 hep - ph / 0411186 November 2004 SANCscope – v . 0 . 41
In this article we have summarized the status of the system SANC version 0.41. We have implemented theoretical predictions for many high energy interactions of fundamental particles at the one-loop precision level for up to 4-particle processes. In the present part of our SANC description we place emphasis on an extensive discussion of an important first step of calculations of the one-loop amp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004