Corpus ID: 226282033

Membership amplitudes and obscure qudits.

@article{Duplij2020MembershipAA,
  title={Membership amplitudes and obscure qudits.},
  author={Steven Duplij and Raimund Vogl},
  journal={arXiv: Quantum Physics},
  year={2020}
}
  • S. Duplij, R. Vogl
  • Published 2020
  • Physics, Computer Science, Mathematics
  • arXiv: Quantum Physics
A concept of quantum computing is proposed which naturally incorporates an additional kind of uncertainty, i.e. vagueness (fuzziness), by introducing obscure qudits (qubits), which are simultaneously characterized by a quantum probability and a membership function. Along with the quantum amplitude, a membership amplitude for states is introduced. The Born rule is used for the quantum probability only, while the membership function can be computed through the membership amplitudes according to a… Expand

References

SHOWING 1-10 OF 48 REFERENCES
Quantum Computation and Quantum Information
Preface Acknowledgement Nomenclature and notation Part I. Fundamental Concepts: 1. Introduction and overview 2. Introduction to quantum mechanics 3. Introduction to computer science Part II. QuantumExpand
Foundations of Probability and Physics
All papers have been peer reviewed. This was the 4th conference arranged by ICMM on probabilistic foundations of classical and quantum physics. The first three conferences took place in 2000, 2002,Expand
On the fundamentals of fuzzy sets.
A considerable amount of research has been done on the notions of pseudo complement, intersection and union of fuzzy sets [1], [4], [11]. Most of this work consists of generalizations or alternativesExpand
Fundamentals of fuzzy sets
Foreword L.A. Zadeh. Preface. Series Foreword. Contributing Authors. General Introduction D. Dubois, H. Prade. Part I: Fuzzy Sets. 1. Fuzzy Sets: History and Basic Notions D. Dubois, et al. 2. FuzzyExpand
Quantum Physics
Introduction to the Principles of Quantum MechanicsBy S. Simons. Pp. vi + 116. (Logos Press, in association with Elek Books: London, 1968.) 42s boards; 25s paper.
Statistical Modeling, Analysis and Management of Fuzzy Data
1. Fuzziness and Randomness.- Fuzziness and randomness.- 2. Fuzzy-Valued Random Elements.- On the variance of random fuzzy variables.- f-inequality indices for fuzzy random variables.- TraditionalExpand
Directions in Quantum Optics
This collection of papers written by leading researchers reflects the forefront of research in the dynamic field of quantum optics. Topics covered include BEC, atomic optics, quantum information,Expand
Design Considerations of Time in Fuzzy Systems
List of Figures. List of Tables. Preface. Acknowledgments. Part I: The Fundamentals of Fuzzy and Possibilistic Logic. 1. Fuzziness and its Measure. 2. Fuzzy Operations and Relations. 3. FuzzyExpand
Fuzzy Set Theory and Its Applications
Spend your time even for only few minutes to read a book. Reading a book will never reduce and waste your time to be useless. Reading, for some people become a need that is to do every day such asExpand
Statistical Modeling
  • V. Pawlowsky-Glahn
  • Mathematics, Computer Science
  • Encyclopedia of Social Network Analysis and Mining
  • 2014
Observations in daily practice are sometimes registered as positive values larger then a given threshold α. The sample space is in this case the interval (α,+∞), α > 0, which can be structured as aExpand
...
1
2
3
4
5
...