Papers by Ahmad Shafiei Deh Abad
arXiv (Cornell University), Nov 13, 2017
In this paper inspired by the "Minimum Description Length Principle" in classical statistics, we ... more In this paper inspired by the "Minimum Description Length Principle" in classical statistics, we introduce a new method for predicting the outcomes of performing quantum measurements and for estimating the state of quantum systems.
한국항공우주학회 학술발표회 논문집, Nov 1, 1999
In this paper, inspired by the "Minimum Description Length Principle" in classical Stat... more In this paper, inspired by the "Minimum Description Length Principle" in classical Statistics, we introduce a new method for predicting the outcomes of a quantum measurement and for estimating the state of a quantum system with minimum quantum complexity, while, at the same time, avoiding overfitting.
Journal of Physics Communications, 2020
In this paper, inspired by the ‘Minimum Description Length Principle’ in classical statistics, we... more In this paper, inspired by the ‘Minimum Description Length Principle’ in classical statistics, we introduce a new method for predicting the outcomes of performing quantum measurements and for estimating the state of quantum systems.
Journal of Mathematical Physics, 2014
ABSTRACT We extend the notion of Gacs quantum algorithmic entropy, originally formulated for fini... more ABSTRACT We extend the notion of Gacs quantum algorithmic entropy, originally formulated for finitely many qubits, to infinite dimensional quantum spin chains and investigate the relation of this extension with two quantum dynamical entropies that have been proposed in recent years. ©2014 American Institute of Physics
Open Systems & Information Dynamics
We study the relations between the recently proposed machine-independent quantum complexity of P.... more We study the relations between the recently proposed machine-independent quantum complexity of P. Gacs [1] and the entropy of classical and quantum systems. On one hand, by restricting Gacs complexity to ergodic classical dynamical systems, we retrieve the equality between the Kolmogorov complexity rate and the Shannon entropy rate derived by A. A. Brudno [2]. On the other hand, using the quantum Shannon-McMillan theorem [3], we show that such an equality holds densely in the case of ergodic quantum spin chains.
arXiv: Commutative Algebra, 2010
In this paper which is the first of a series of papers on smooth structures, the concepts of C-st... more In this paper which is the first of a series of papers on smooth structures, the concepts of C-structures and smooth structures are introduced and studied. The notion of smooth structure on semi-integral domains is given. It is shown that each semi-integral domain which is not a field, admits a unique smooth structure and a large class of non-polynomial smooth functions on some semi-integral domains is constructed. A smooth function from Z-{0} into Z is given which does not extend to a smooth function on Z. No concept from topology is used. As an application, it is shown that: Theorem - Let M and N be finite dimensional smooth manifolds. The algebra of real smooth functions on M (resp. N) will be denoted by A (resp. B). Assume that T is a homomorphism from B into A. Then, there exists exactly one smooth mapping f from M into N such that T=f*.
In this paper, inspired by the "Minimum Description Length Principle" in classical Stat... more In this paper, inspired by the "Minimum Description Length Principle" in classical Statistics, we introduce a new method for predicting the outcomes of a quantum measurement and for estimating the state of a quantum system with minimum quantum complexity, while, at the same time, avoiding overfitting.
Arxiv preprint arXiv:1009.4280, 2010
In this paper which is the first of a series of papers on smooth structures, the concepts of C-st... more In this paper which is the first of a series of papers on smooth structures, the concepts of C-structures and smooth structures are introduced and studied. The notion of smooth structure on semi-integral domains is given. It is shown that each semi-integral domain which is not a field, admits a unique smooth structure and a large class of non-polynomial smooth functions on some semi-integral domains is constructed. A smooth function from Z-{0} into Z is given which does not extend to a smooth function on Z. No concept from topology is used. As an application, it is shown that: Theorem-Let M and N be finite dimensional smooth manifolds. Assume that ϕ : C ∞ (N) → C ∞ (M) is a homomorphism of R-algebras. Then, there exists exactly one smooth mapping φ : M → N such that ϕ = φ * .
Uploads
Papers by Ahmad Shafiei Deh Abad