منابع مشابه
Exponential Decay in Quantum Mechanics
First of all: disregard all of so called “preliminary physical expectations”, because all these expectations are just a pseudonym for prejudices elaborated by the older generation. These words belong to Dirac, not to me. The right way of creating new physics is different: one should begin with a beautiful mathematical idea. But it should be really beautiful! No special relations to physics is c...
متن کاملSome tight polynomial-exponential lower bounds for an exponential function
This note is devoted to new sharp lower bounds for exp(x). We first introduce and study a new lower bound defined with polynomial of degree 2 and exponential (or hyperbolic) functions. Then we propose two improvements of this lower bound by using two different approaches; the first approach consists in adding well-chosen polynomial term to it, whereas the second approach aims to transform it fo...
متن کاملExponential gain in quantum computing of quantum chaos and localization.
We present a quantum algorithm which simulates the quantum kicked rotator model exponentially faster than classical algorithms. This shows that important physical problems of quantum chaos, localization, and Anderson transition can be modeled efficiently on a quantum computer. We also show that a similar algorithm simulates efficiently classical chaos in certain area-preserving maps.
متن کاملQuantum Associative Memory with Exponential Capacity
Quantum computation uses microscopic quantum level effects to perform computational tasks and has produced results that in some cases are exponentially faster than their classical counterparts by taking advantage of quantum parallelism. The unique characteristics of quantum theory may also be used to create a quantum associative memory with a capacity exponential in the number of neurons. This ...
متن کاملAnalyzing Algebraic Quantum Circuits Using Exponential Sums
We introduce and analyze circuits that are the quantum mechanical generalization of classical algebraic circuits. Using the algebraic operations of addition and multiplication, as well as the quantum Fourier transform, such circuits are well-defined for rings Z/mZ and finite fields Fq. The acceptance probabilities of such algebraic quantum circuits can be expressed as exponential sums ∑x exp(2π...
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: Reviews in Mathematical Physics
سال: 2000
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x00000344