Sparse-Graph Codes for Quantum Error-Correction
... a shorthand notation for representing Pauli operators, in which only the non-identity O i are given; for example IXIZI is denoted by X 2 Z4 . Two Pauli operators commute if and only if there is an even number of places where they have different Pauli matrices neither of which is the identity I. This ...
... a shorthand notation for representing Pauli operators, in which only the non-identity O i are given; for example IXIZI is denoted by X 2 Z4 . Two Pauli operators commute if and only if there is an even number of places where they have different Pauli matrices neither of which is the identity I. This ...
Rotation properties of multipole moments in atomic
... This precessing order within the angular momentum substates is conventionally expanded in a basis of multipole moments corresponding to irreducible tensor operators Tk) of rank k and order q.'2 In the eigenbase of the angular momentum operator F,, these operators involve nonvanishing matrix elements ...
... This precessing order within the angular momentum substates is conventionally expanded in a basis of multipole moments corresponding to irreducible tensor operators Tk) of rank k and order q.'2 In the eigenbase of the angular momentum operator F,, these operators involve nonvanishing matrix elements ...
Equações de Onda Generalizadas e Quantização
... Prof. Dr. Paulo Afonso Faria da Veiga (Institute of Mathematics and Computer Sciences – University of Sao Paulo) Prof. Dr. André Gustavo Scagliusi Landulfo (Centro de Ciências Naturais e Humanas – Federal University of ABC) ...
... Prof. Dr. Paulo Afonso Faria da Veiga (Institute of Mathematics and Computer Sciences – University of Sao Paulo) Prof. Dr. André Gustavo Scagliusi Landulfo (Centro de Ciências Naturais e Humanas – Federal University of ABC) ...
Mathematical foundation of quantum annealing
... In the present paper we will instead discuss generic algorithms, simulated annealing 共SA兲 and quantum annealing 共QA兲. The former was developed from the analogy between optimization problems and statistical physics.4,5 In SA, the cost function to be minimized is identified with the energy of a statis ...
... In the present paper we will instead discuss generic algorithms, simulated annealing 共SA兲 and quantum annealing 共QA兲. The former was developed from the analogy between optimization problems and statistical physics.4,5 In SA, the cost function to be minimized is identified with the energy of a statis ...
Emergence of exponentially small reflected waves
... with the traditional picture of a semiclassical wave packet. In particular, it should be noted that in general, the critical energy E ∗ is different from E0 , the energy on which the density concentrates. The main results of our paper are increasingly explicit formulas for the leading order exponent ...
... with the traditional picture of a semiclassical wave packet. In particular, it should be noted that in general, the critical energy E ∗ is different from E0 , the energy on which the density concentrates. The main results of our paper are increasingly explicit formulas for the leading order exponent ...
Physics of Projected Wavefunctions
... small parameters are present. The variational approach to these models has therefore been intensively followed, since it is one of a few nonperturbative methodes available in this context. In Section 2 we first give a short overview over some methods in use to approach the Hubbard Hamiltonian and th ...
... small parameters are present. The variational approach to these models has therefore been intensively followed, since it is one of a few nonperturbative methodes available in this context. In Section 2 we first give a short overview over some methods in use to approach the Hubbard Hamiltonian and th ...
Document
... Today, the wavelike properties of beams of electrons are useful in viewing objects that cannot be viewed with an optical microscope. • The electrons in an electron microscope have much smaller wavelengths than visible light. • These smaller wavelengths allow a much clearer enlarged image of a very s ...
... Today, the wavelike properties of beams of electrons are useful in viewing objects that cannot be viewed with an optical microscope. • The electrons in an electron microscope have much smaller wavelengths than visible light. • These smaller wavelengths allow a much clearer enlarged image of a very s ...
Driven Bose-Hubbard model with a parametrically modulated
... We investigate a one-dimensional Bose–Hubbard model in a parametrically driven global harmonic trap. The delicate interplay of both the local interaction of the atoms in the lattice and the driving of the global trap allows us to control the dynamical stability of the trapped quantum many-body state ...
... We investigate a one-dimensional Bose–Hubbard model in a parametrically driven global harmonic trap. The delicate interplay of both the local interaction of the atoms in the lattice and the driving of the global trap allows us to control the dynamical stability of the trapped quantum many-body state ...