Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's $m$ state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate $x$ acquires principal uncertainty $σ_x$ . It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states.Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's $m$ state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate $x$ acquires principal uncertainty $σ_x$. It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states.

arXiv:hep-th/0210113Oct 11, 20020 citations

Quantum structures and fuzzy set theory

Jarosław Pykacz

Elsevier eBooksJan 1, 20074 citations

Constructions of quantum structures

Mirko Navara

Elsevier eBooksJan 1, 200718 citations

Numerical Study of the Coulomb Problem in the Fuzzy Onion Model

Samuel Kováčik, Juraj Tekel, Patrik Rusnák

The fuzzy onion model is a three-dimensional quantum space model expressed in terms of Hermitian matrices of a certain form. It is a convenient model as it is manageable and can be easily put on a computer. It can also be related to various physical contexts, capturing the essence of the quantum structure of space. In this work, we briefly summarise the construction of the model and then show how it can be used for the effects of quantum space on spherically symmetrical problems, the Coulomb one, for example. A possible connection to the earlier stages of the universe is discussed.The fuzzy onion model is a three-dimensional quantum space model expressed in terms of Hermitian matrices of a certain form. It is a convenient model as it is manageable and can be easily put on a computer. It can also be related to various physical contexts, capturing the essence of the quantum structure of space. In this work, we briefly summarise the construction of the model and then show how it can be used for the effects of quantum space on spherically symmetrical problems, the Coulomb one, for example. A possible connection to the earlier stages of the universe is discussed.

Corfu Summer Institute School and Workshops on Elementary Particle Physics and Gravity (CORFU)Dec 9, 20250 citations

Quantum Fuzzy Classification Hashing Algorithm with the One-Time Pad Security Properties

Dong Cao

We propose a new method of quantum fuzzy classification hashing scheme constructed from the method of quantum information processing. Based on the uniform random fuzziness of the template set produced by the quantum fuzzy classification hashing, Security of the identification scheme is equivalent to one-time pad. Compared to the construction schemes based on similar method, the novel quantum fuzzy classification hashing scheme has a more simplified structure. Our algorithms have outstanding data security and validity. Theoretical analysis shows that the quantum fuzzy classification hashing can effectively resist the attack of quantum computation.We propose a new method of quantum fuzzy classification hashing scheme constructed from the method of quantum information processing. Based on the uniform random fuzziness of the template set produced by the quantum fuzzy classification hashing, Security of the identification scheme is equivalent to one-time pad. Compared to the construction schemes based on similar method, the novel quantum fuzzy classification hashing scheme has a more simplified structure. Our algorithms have outstanding data security and validity. Theoretical analysis shows that the quantum fuzzy classification hashing can effectively resist the attack of quantum computation.

Applied Mechanics and MaterialsDec 1, 20141 citation

Fuzzy set representations of some quantum structures

Anatolij Dvurečenskij

Fuzzy Sets and SystemsJan 1, 199920 citations

Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's

m

state corresponds to Foset element - fuzzy point. Due to fuzzy ordering its space coordinate

x

acquires principal uncertainty

σ_x

. It's shown that proposed Mechanics on fuzzy phase space manifold reproduces the main quantum effects, in particular the interference of quantum states.