Results 11 to 20 of about 111,247 (156)
Quantum Register Algebra: the mathematical language for quantum computing
Quantum Information Processing, 2023 11 ...
J. Hrdina +7 more
openaire +2 more sources
Algebraic quantum codes: linking quantum mechanics and discrete mathematics [PDF]
International Journal of Computer Mathematics: Computer Systems Theory, 2020 19 pages; written for both mathematicians and ...
openaire +2 more sources
Separability and distillability in composite quantum systems -a primer- [PDF]
, 2000 Quantum mechanics is already 100 years old, but remains alive and full of challenging open problems. On one hand, the problems encountered at the frontiers of modern theoretical physics like Quantum Gravity, String Theories, etc.
A. Sanpera +17 more
core +2 more sources
Complexity vs Energy: Theory of Computation and Theoretical Physics [PDF]
, 2013 This paper is a survey dedicated to the analogy between the notions of {\it complexity} in theoretical computer science and {\it energy} in physics. This analogy is not metaphorical: I describe three precise mathematical contexts, suggested recently, in ...
Manin, Yuri I.
core +1 more source
, 2002 In this paper we explore the boundary between biology and the study of formal systems (logic). In the end, we arrive at a summary formalism, a chapter in "boundary mathematics" where there are not only containers but also extainers >
Kauffman, Louis H.
core +4 more sources
Uncertainty relations and possible experience [PDF]
, 2016 The uncertainty principle can be understood as a condition of joint indeterminacy of classes of properties in quantum theory. The mathematical expressions most closely associated with this principle have been the uncertainty relations, various ...
Jaeger, Gregg
core +2 more sources
Dual canonical bases for the quantum special linear group and invariant subalgebras [PDF]
, 2005 A string basis is constructed for each subalgebra of invariants of the function algebra on the quantum special linear group. By analyzing the string basis for a particular subalgebra of invariants, we obtain a ``canonical basis'' for every finite ...
Zhang, Hechun, Zhang, R. B.
core +2 more sources
Equivalence of the Klein-Gordon random field and the complex Klein-Gordon quantum field
, 2009 The difference between a Klein-Gordon random field and the complex Klein-Gordon quantum field is characterized, explicitly comparing the roles played by negative frequency modes of test functions in creation and annihilation operator presentations of the
Morgan, Peter
core +1 more source
The Eight Dimensional Quantum Hall Effect and the Octonions
, 2003 We construct a generalization of the quantum Hall effect where particles move in an eight dimensional space under an SO(8) gauge field. The underlying mathematics of this particle liquid is that of the last normed division algebra, the octonions.
B. Grossman +5 more
core +1 more source
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source