Physical transformations between quantum states

نویسندگان

  • Zejun Huang
  • Chi-Kwong Li
  • Edward Poon
  • Nung-Sing Sze
چکیده

Given two sets of quantum states {A1, . . . , Ak} and {B1, . . . , Bk}, represented as sets as density matrices, necessary and sufficient conditions are obtained for the existence of a physical transformation T , represented as a trace-preserving completely positive map, such that T (Ai) = Bi for i = 1, . . . , k. General completely positive maps without the trace-preserving requirement, and unital completely positive maps transforming the states are also considered.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : h ep - t h / 96 07 12 7 v 1 1 5 Ju l 1 99 6 QUANTUM SPACE - TIME TRANSFORMATIONS AND REFERENCE FRAMES STATES

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. Galilean or Lorentz space-time transformations are shown to become incorrect in this case and for the description of transformations between different RF the special quantum space-time transformations ...

متن کامل

On the existence of physical transformations between sets of quantum states

Let A = {ρ1, . . . , ρn} be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = {σ1, . . . , σn} that guarantee the existence of a physical transformation taking ρi to σi for all i. Uhlmann has given an elegant such condition when both sets comprise pure states. We give a simple proof of this condition and develop some consequ...

متن کامل

اثر محیط جاذب بر ویژگی‌های غیرکلاسیکی حالت‌های همدوس

In order to investigate the effect of a medium with dissipation and dispersion and also the curvature of the physical space on the properties of the incident quantum states, we use the quantization of electromagnetic field based on phenomenological approach to obtain input-output relations between radiations on both sides of dielectric slab. By using these relations the fidelity, the Wigner fun...

متن کامل

On Classical and Quantum Objectivity

We propose a conceptual framework for understanding the relationship between observables and operators in mechanics. To do so, we introduce a postulate that establishes a correspondence between the objective properties permitting to identify physical states and the symmetry transformations that modify their gauge dependant properties. We show that the uncertainty principle results from a faithf...

متن کامل

ar X iv : g r - qc / 9 70 50 76 v 1 2 8 M ay 1 99 7 QUANTUM REFERENCE FRAMES , TIME AND MEASUREMENTS

We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Quantum Mechanics. The presence of RF free quantum motion in the form of wave packet smearing results in formal nonapplicability of Galilean or Lorentz space-time transformations in this case. For the description of the ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012