Direct Characterization of Quantum Dynamics: General Theory
... and for arbitrary error basis elements Em and En , the Knill-Laflamme QEC condition for degenerate codes is hφc | En† Em |φc i = αnm , where αnm is a Hermitian matrix of complex numbers [1]. For nondegenerate codes, the QEC condition reduces to hφc | En† Em |φc i = δnm ; i.e., in this case the error ...
... and for arbitrary error basis elements Em and En , the Knill-Laflamme QEC condition for degenerate codes is hφc | En† Em |φc i = αnm , where αnm is a Hermitian matrix of complex numbers [1]. For nondegenerate codes, the QEC condition reduces to hφc | En† Em |φc i = δnm ; i.e., in this case the error ...
Paper - MaPhySto
... of an instrument of indirect observation introduced by A.Barchielli [3-7 ] is used. The well known quantum filtering equation introduced first in papers of V.P.Belavkin [9-15] and describing the posterior quantum stochastic evolution of an open system subjected to continuous in time nondemolotion me ...
... of an instrument of indirect observation introduced by A.Barchielli [3-7 ] is used. The well known quantum filtering equation introduced first in papers of V.P.Belavkin [9-15] and describing the posterior quantum stochastic evolution of an open system subjected to continuous in time nondemolotion me ...
Conference booklet - XXXV Workshop on Geometric Methods in
... We review the notion of Vogel’s universality in simple Lie algebras and their applications. We present universal functions for: the (quantum) dimensions of adjoint and some other (series of) representations; generating function of eigenvalues of higher Casimir operators on adjoint representation; in ...
... We review the notion of Vogel’s universality in simple Lie algebras and their applications. We present universal functions for: the (quantum) dimensions of adjoint and some other (series of) representations; generating function of eigenvalues of higher Casimir operators on adjoint representation; in ...
A pseudo-mathematical pseudo-review on 4d N = 2
... object, much like a group, a space or an algebra. Then, similarly to those more familiar mathematical objects, we can consider morphisms between two QFTs and various operations on QFTs. In this review a central role is played by the concept of a G-symmetric QFT, ...
... object, much like a group, a space or an algebra. Then, similarly to those more familiar mathematical objects, we can consider morphisms between two QFTs and various operations on QFTs. In this review a central role is played by the concept of a G-symmetric QFT, ...
On the Distribution of the Wave Function for Systems in Thermal
... Note that a wave function Ψ chosen at random from this distribution is almost certainly a nontrivial superposition of the eigenstates |ni with random coefficients hn|Ψi that are identically distributed, but not independent. The measure uE,δ is clearly stationary, i.e., invariant under the unitary ti ...
... Note that a wave function Ψ chosen at random from this distribution is almost certainly a nontrivial superposition of the eigenstates |ni with random coefficients hn|Ψi that are identically distributed, but not independent. The measure uE,δ is clearly stationary, i.e., invariant under the unitary ti ...
Hypergroups and Quantum Bessel Processes of Non
... The rest of this note is structured as follows. Section 2 contains a concise summary of Biane’s construction of the quantum Bessel process; in Section 3 we recall an analogous construction of the usual Bessel process (of integer dimension). In Section 4 we provide basic definitions and terminology as ...
... The rest of this note is structured as follows. Section 2 contains a concise summary of Biane’s construction of the quantum Bessel process; in Section 3 we recall an analogous construction of the usual Bessel process (of integer dimension). In Section 4 we provide basic definitions and terminology as ...
The Thomas-Fermi Theory of Atoms, Molecules and
... tensor product of Le(R3; C). We continue JGTlYS 1. to denote Ho” ? &‘&vs by F1,” or, when necessary, by 11o”(.s, ,..., z,~; R, ,..,, I&). Wc shall let E.,*o, the “ground state energy,” denote the infinum of the spectrum of Ho”. If N -- 1 < -&, Zj ) this infinum is known to he an eigenvalue of Ho,” 1 ...
... tensor product of Le(R3; C). We continue JGTlYS 1. to denote Ho” ? &‘&vs by F1,” or, when necessary, by 11o”(.s, ,..., z,~; R, ,..,, I&). Wc shall let E.,*o, the “ground state energy,” denote the infinum of the spectrum of Ho”. If N -- 1 < -&, Zj ) this infinum is known to he an eigenvalue of Ho,” 1 ...
Algebraic Study on the Quantum Calogero Model
... Among the models in theoretical physics, exactly solvable models deserYe special interest. For instance, the problem on the hydrogen atom, which played a crucial role in bringing high credit to quantum mechanics, is a typical example of the models whose eigenvalue problems are exactly soh·able by se ...
... Among the models in theoretical physics, exactly solvable models deserYe special interest. For instance, the problem on the hydrogen atom, which played a crucial role in bringing high credit to quantum mechanics, is a typical example of the models whose eigenvalue problems are exactly soh·able by se ...
Unit 2: Lorentz Invariance
... Lie Algebra: generalized vector space (in this case, space of the generators) over a field (R1,3 in this case) with a Lie Bracket (in physics, usually commutation) and certain other axioms, which are automatically met if your Lie Bracket is commutation. ...
... Lie Algebra: generalized vector space (in this case, space of the generators) over a field (R1,3 in this case) with a Lie Bracket (in physics, usually commutation) and certain other axioms, which are automatically met if your Lie Bracket is commutation. ...