We study the well-known Bessel equation itself in the framework of quantum mechanics. We show that the Bessel equation is a spontaneous result of an operator identity's matrix element in some definite entangled state representations, which is a fresh look. Application of this operator formalism ...
An interesting protocol for quantum identity authentication on a basis of the classic shared secret has been presented recently (Hong et al. in Quantum Inf Process 16(10): 236, 2017). It requires few resources and it is technologically feasible. Its seminal analysis focuses on average eavesdroppe...
Keywords Quantum mechanics · Uncertainty relations · Error propagation · Aharonov–Vaidman identity 1 Introduction Let A be a Hermitian operator on a Hilbert space H. Then, for any (not necessarily normalized) vector |ψ∈ H, A |ψ = A |ψ + A ψ⊥ A , (1) where A = ψ A ψ ...
Q-spaces and the Foundations of Quantum Mechanics Vectors in Q-space refer only to occupation numbers and permutation operators act as the identity operator on them, reflecting in the formalism the fact ... G Domenech,FH Krause - 《Foundations of Physics》 被引量: 69发表: 2008年 Conservation...
This was accomplished via a new type of generating function—over a family of products—combined with the two other types of generating function we have been using—over a family of operators (the vertex operator itself) and over a family of derivatives (such as the operator ez0(∂/∂z...
public-key cryptography is still in the future, threat actors are preparing today. There are increasing concerns related to attackers recording data now with a view to being able to decrypt it later when quantum computers are sufficiently mature – in so-called “Harvest-now, ...
Hong, C.H., Heo, J., Jang, J.G., Kwon, D.: Quantum identity authentication with single photon. Quantum Inf. Process. 16(10), 236 (2017) Article ADS MathSciNet Google Scholar Schwinger, J.: Unitary operator bases. Proc. Natl. Acad. Sci. U. S. A. 46(4), 570 (1960) Articl...
An important part of the construction of solutions of equations describing non-linear dynamic systems is the investigation of their symmetry properties. An example is provided by quantum electrodynamics, in which the gauge invariance condition implies a certain relationship between the mass operator and ...
operator algebraquantum theorycognitive processperspective notionsemanticsWe produce a master identity \\(\\) for a certain type of homotopy Gerstenhaber algebras, in particular suitable for the prototype, namely the Hochschild complex of an associative algebra. This algebraic master identity was ...