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11 Canonical quantization of classical fields
11 Canonical quantization of classical fields

Constructions and Noise Threshold of Topological Subsystem Codes
Constructions and Noise Threshold of Topological Subsystem Codes

Affine computation and affine automaton
Affine computation and affine automaton

On the equivalence of separability and extendability of quantum states
On the equivalence of separability and extendability of quantum states

Conference booklet - XXXV Workshop on Geometric Methods in
Conference booklet - XXXV Workshop on Geometric Methods in

... AKSZ sigma models were originally proposed to describe topological systems. In fact, an AKSZ model with finite number of fields and space-time dimension higher than 1 is necessarily topological. These models are quite distinguished in the sense that the geometry of the target space manifold encodes no ...
Qualitative individuation in permutation
Qualitative individuation in permutation

... operates is much harder to achieve than non-separability: that is, non-separability does not entail entanglement. I said that entanglement is almost exclusively defined as non-separability. In fact there are dissenters, chiefly Ghirardi, Marinatto & Weber (2002) (see also Ghirardi & Marinatto (2003, ...
Numerical Analysis of Quantum Graphs
Numerical Analysis of Quantum Graphs

International Journal of Mathematics, Game Theory and Algebra
International Journal of Mathematics, Game Theory and Algebra

Quantum Optics Toolbox User`s Guide
Quantum Optics Toolbox User`s Guide

On the Rank of the Reduced Density Symmetric Polynomials Babak Majidzadeh Garjani
On the Rank of the Reduced Density Symmetric Polynomials Babak Majidzadeh Garjani

Third-order optical response of intermediate
Third-order optical response of intermediate

Angular momentum operator
Angular momentum operator

... These turn out to be the spherical harmonics, Y�m (θ, φ). In particular, the eigenvalue equation for L̂2 is L̂2 Y�m (θ, φ) = �(� + 1)�2 Y�m (θ, φ) , ...
Non-Hermitian Hamiltonians of Lie algebraic type
Non-Hermitian Hamiltonians of Lie algebraic type

... • Calculated conditions and appropriate metrics with respect to which a large class of non Hermitian Hamiltonians bilinear in su(1,1) generators can be considered Hermitian. • The same non Hermitian Hamiltonians could be diagonalized and it was shown, whithout metrics, that although being non Hermit ...
Complex Obtuse Random Walks and their Continuous
Complex Obtuse Random Walks and their Continuous

... Let us have here a more detailed discussion on these physical motivations underlying our study. These motivations do not appear anymore in the rest of the article which is devoted entirely to the probabilistic properties of complex obtuse random walks and their continuous-time limits, but we have fe ...
COHERENT STATES FOR CONTINUOUS SPECTRUM AS
COHERENT STATES FOR CONTINUOUS SPECTRUM AS

... spectrum are labeled also by a complex variable Z , but we have used this different notation just to avoid the confusion with discrete case. We use the notation X c = X c (E ) for the quantities regarding to the continuous spectrum, respectively X d = X d ( n , nmax ) for those regarding to the disc ...
Nonperturbative quantum geometries
Nonperturbative quantum geometries

... A nontrivial physical Hilbert space can exist only in the case that the algebra of the quantum mechanical constraints closes. (iv) An inner product (~k[q~) defined on the physical Hilbert space, 5:Phy~. It is important to stress that one need not have any inner product on the larger representation s ...
Chapter 3 Foundations II: Measurement and Evolution 3.1
Chapter 3 Foundations II: Measurement and Evolution 3.1

Entanglement Witnesses
Entanglement Witnesses

Complete Analytical Solutions of the Mie
Complete Analytical Solutions of the Mie

... -type potential was obtained in [34]. Moreover, the Schrödinger equation for a system bound by a Mie-type potential was also solved by using the 1/N expansion method [33]. In this paper, we give a complete normalized polynomial solution for the general N -dimensional Schrödinger equation for diatomi ...
Quantum Dynamical Systems
Quantum Dynamical Systems

Optimum phase-shift estimation and the quantum description of the
Optimum phase-shift estimation and the quantum description of the

an introduction to quantum mechanics - TU Dortmund
an introduction to quantum mechanics - TU Dortmund

... There are observables that can be simultaneously measurable and other that can not, it depends on their dependence on momentum and position. Let two observables A and B be simultaneously measurable. Then if measuring the A and B we find the values ai and ßj respectively, the state of the system is ...
ABSTRACT ADIABATIC QUANTUM COMPUTATION: NOISE IN THE ADIABATIC THEOREM AND USING THE JORDAN-WIGNER
ABSTRACT ADIABATIC QUANTUM COMPUTATION: NOISE IN THE ADIABATIC THEOREM AND USING THE JORDAN-WIGNER

... open quantum systems using the density operator formalism [20, 46, 58, 59, 70]. However, it is difficult to derive rigorous bounds with this approach because the dynamics involve a non-Hermitian operator without a complete set of orthonormal eigenstates. Some progress has been made for the AQC equiv ...
Localized - Current research interest: photon position
Localized - Current research interest: photon position

... (2) Helicity and total AM can have definite values, but spin cannot. Their nonintegrable AM leads to the Berry phase observed in helically wound fibers. (3) Incoming and outgoing waves are equally likely. Localization is due to destructive interference of ...
Extending coherent state transforms to Clifford analysis
Extending coherent state transforms to Clifford analysis

... holomorphic functions to Clifford algebra valued functions, satisfying properties generalizing the Cauchy–Riemann conditions. On the other hand, in quantum physics, Clifford algebra or spinor representation valued functions describe some systems with internal degrees of freedom, such as particles wi ...
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Self-adjoint operator

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