Lecture 7
... More specific: Is it possible by using only black box techniques? And not the precise problem structure E.g. SAT Problem: given a CNF formula on n variables, is there a satisfying assignment? Trivial approach: Try all 2n assignments of the variables Can a quantum computer do this efficiently? ...
... More specific: Is it possible by using only black box techniques? And not the precise problem structure E.g. SAT Problem: given a CNF formula on n variables, is there a satisfying assignment? Trivial approach: Try all 2n assignments of the variables Can a quantum computer do this efficiently? ...
Semiclassical theory of helium atom
... Figure 4 depicts, as a representative case, the level diagram of parahelium. The helium states and energy levels can be classified as follows: (i) the ground state and bound singly excited states, (ii) doubly excited resonant states, and (iii) unbound continuum states at energies above the two parti ...
... Figure 4 depicts, as a representative case, the level diagram of parahelium. The helium states and energy levels can be classified as follows: (i) the ground state and bound singly excited states, (ii) doubly excited resonant states, and (iii) unbound continuum states at energies above the two parti ...
superconducting qubits solid state qubits
... “Charge qubits” and “spin qubits” The qubits levels can be formed by either the energy levels of an electron in a potential well (such as a quantum dot or an impurity ion) or by the spin states of the electron (or the nucleus). The former are examples of charge qubits. The charge qubits have high e ...
... “Charge qubits” and “spin qubits” The qubits levels can be formed by either the energy levels of an electron in a potential well (such as a quantum dot or an impurity ion) or by the spin states of the electron (or the nucleus). The former are examples of charge qubits. The charge qubits have high e ...
Master Thesis
... The twentieth century has brought a revolution in the world of science and technology, with the development of quantum mechanics and the theory of computation among the greatest advances. The advancement of technology gave rise to digital computers, whose power growth has been described successfully ...
... The twentieth century has brought a revolution in the world of science and technology, with the development of quantum mechanics and the theory of computation among the greatest advances. The advancement of technology gave rise to digital computers, whose power growth has been described successfully ...
Quantum Computing: The Risk to Existing Encryption Methods
... As is apparent in the name, quantum computing has its roots in quantum mechanics. Unlike previous technological advancements where results and efficiency could be easily measured, a quantum computer is incredibly difficult to understand, and even harder to build; despite some companies claiming they ...
... As is apparent in the name, quantum computing has its roots in quantum mechanics. Unlike previous technological advancements where results and efficiency could be easily measured, a quantum computer is incredibly difficult to understand, and even harder to build; despite some companies claiming they ...
pdf file
... of angular speed are radians/sec (rad/s) ► Angular speed will be positive if θ is increasing ...
... of angular speed are radians/sec (rad/s) ► Angular speed will be positive if θ is increasing ...
Lower Bounds for Quantum Search and Derandomization
... means that the vector of amplitudes is transformed according to a linear operator that preserves norm (so the sum of the amplitudes squared remains 1). A unitary operator U always has an inverse U −1 , which equals its conjugate transpose U ∗ . A quantum gate network working on m qubits is like a cl ...
... means that the vector of amplitudes is transformed according to a linear operator that preserves norm (so the sum of the amplitudes squared remains 1). A unitary operator U always has an inverse U −1 , which equals its conjugate transpose U ∗ . A quantum gate network working on m qubits is like a cl ...
A simple proof of Valiant`s lemma
... triangular matrix. The crucial point of his approach is to design this procedure even in the case, where the product opération is non-associative. His algorithm uses several propositions on dividing a matrix into certain submatrices to obtain the transitive closure by recursiveness. One of these pro ...
... triangular matrix. The crucial point of his approach is to design this procedure even in the case, where the product opération is non-associative. His algorithm uses several propositions on dividing a matrix into certain submatrices to obtain the transitive closure by recursiveness. One of these pro ...
Absence of spin liquid in non-frustrated correlated systems
... as follows: The density of states N (ω) can be computed by numerically integrating the spectral function A(k, ω) over wavevectors. We compute N (ω + iη) at ω = 0 for a few values of the Lorenzian broadening η and extrapolate η → 0 using a polynomial fit. The result of this extrapolation should vanis ...
... as follows: The density of states N (ω) can be computed by numerically integrating the spectral function A(k, ω) over wavevectors. We compute N (ω + iη) at ω = 0 for a few values of the Lorenzian broadening η and extrapolate η → 0 using a polynomial fit. The result of this extrapolation should vanis ...
Chapter 11 - Angular Momentum
... System of Particles; General Motion The angular momentum of a system of particles can change only if there is an external torque—torques due to internal forces cancel. ...
... System of Particles; General Motion The angular momentum of a system of particles can change only if there is an external torque—torques due to internal forces cancel. ...