B(H) has a pure state that is not multiplicative on any masa
نویسندگان
چکیده
منابع مشابه
B(H) has a pure state that is not multiplicative on any masa.
Assuming the continuum hypothesis, we prove that Bernoulli function(H) has a pure state whose restriction to any masa is not pure. This resolves negatively old conjectures of Kadison and Singer and of Anderson.
متن کاملAcademic nepotism – all that glitters is not gold
Dear Editor With increasing emphasis on publications forfaculty recruitment, career advancementand obtaining research grants, the issues relatedto author kinship and academic nepotism havegrown significantly and these probably reflectthe inflationary growth rather than the optimalgrowth warranted due to increasing researchcomplexity. Allesina S (1) measured the fullmagnitude of nepotism in the ...
متن کاملLog-normal distribution from a process that is not multiplicative but is additive.
The central limit theorem ensures that a sum of random variables tends to a Gaussian distribution as their total number tends to infinity. However, for a class of positive random variables, we find that the sum tends faster to a log-normal distribution. Although the sum tends eventually to a Gaussian distribution, the distribution of the sum is always close to a log-normal distribution rather t...
متن کاملComputational Synthesis of any N-Qubit Pure or Mixed State
Future quantum information processing devices will require the use of exotic quantum states, such as specially crafted entangled states, to achieve certain desired computations on demand. Thus far, synthesis schemes for such states have been devised on a case-by-case basis using ad hoc techniques. In this paper we present a systematic method for finding a quantum circuit that can synthesize any...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2008
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.0801176105