Results 1 to 10 of about 9,479,318 (138)
Roughness in Lattice Ordered Effect Algebras [PDF]
The Scientific World Journal, 2014 Many authors have studied roughness on various algebraic systems. In this paper, we consider a lattice ordered effect algebra and discuss its roughness in this context.
Xiao Long Xin, Xiu Juan Hua, Xi Zhu
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Interplay Between Vertical and Horizontal Schemes of Computation: From Bayesian Inference to Quantum Logic via Gluing Boolean Algebras [PDF]
EntropyArtificial intelligence is typically formulated as an information-processing system composed of artificial neurons, where computation is understood as recursive operations connecting inputs and outputs.
Yukio-Pegio Gunji +7 more
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Spectral resolutions in effect algebras [PDF]
Quantum, 2022 Effect algebras were introduced as an abstract algebraic model for Hilbert space effects representing quantum mechanical measurements. We study additional structures on an effect algebra $E$ that enable us to define spectrality and spectral resolutions ...
Anna Jenčová, Sylvia Pulmannová
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On the properties of spectral effect algebras [PDF]
Quantum, 2019 The aim of this paper is to show that there can be either only one or uncountably many contexts in any spectral effect algebra, answering a question posed in [S. Gudder, Convex and Sequential Effect Algebras, (2018), arXiv:1802.01265].
Anna Jenčová, Martin Plávala
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Journal of Mathematics, 2022 The main goal of this paper is to introduce and investigate the related theory on monadic effect algebras. First, we design the axiomatic system of existential quantifiers on effect algebras and then use it to give the definition of the universal ...
Yuxi Zou, Xiaolong Xin
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(Modular) Effect Algebras are Equivalent to (Frobenius) Antispecial Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Effect algebras are one of the generalizations of Boolean algebras proposed in the quest for a quantum logic. Frobenius algebras are a tool of categorical quantum mechanics, used to present various families of observables in abstract, often nonstandard ...
Dusko Pavlovic, Peter-Michael Seidel
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From Kleisli Categories to Commutative C*-algebras: Probabilistic Gelfand Duality [PDF]
Logical Methods in Computer Science, 2015 C*-algebras form rather general and rich mathematical structures that can be studied with different morphisms (preserving multiplication, or not), and with different properties (commutative, or not).
Robert W. J. Furber, Bart P. F. Jacobs
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Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, by using the sequence of adjointable operators from pro-C*-algebra $ mathcal{A} $ into a Hilbert $ mathcal{A} $-module $ E $. We introduce frames with bounds in pro-C*-algebra $ mathcal{A} $.
Mona Naroei Irani, Akbar Nazari
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Categorical characterizations of operator-valued measures [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 The most general type of measurement in quantum physics is modeled by a positive operator-valued measure (POVM). Mathematically, a POVM is a generalization of a measure, whose values are not real numbers, but positive operators on a Hilbert space.
Frank Roumen
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Cohomology of Effect Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We will define two ways to assign cohomology groups to effect algebras, which occur in the algebraic study of quantum logic. The first way is based on Connes' cyclic cohomology. The resulting cohomology groups are related to the state space of the effect
Frank Roumen
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