Quantum Computation
... Classical computer (FFT) ~ n2n op. for N=2n numbers. Quantum Computer ~ n2 op. But the result of QFT is stored as amplitudes, it can not be read. But QC can find periodicity. 1994-Peter Shor – can be used to factorize large numbers. Is RSA encryption in danger? ...
... Classical computer (FFT) ~ n2n op. for N=2n numbers. Quantum Computer ~ n2 op. But the result of QFT is stored as amplitudes, it can not be read. But QC can find periodicity. 1994-Peter Shor – can be used to factorize large numbers. Is RSA encryption in danger? ...
Quantum Computing
... perfectly isolated—but rather every system is loosely coupled with the energetic state of its surroundings. Viewed in isolation, the system's dynamics are nonunitary (although the combined system plus environment evolves in a unitary fashion). Thus the dynamics of the system alone, treated in isolat ...
... perfectly isolated—but rather every system is loosely coupled with the energetic state of its surroundings. Viewed in isolation, the system's dynamics are nonunitary (although the combined system plus environment evolves in a unitary fashion). Thus the dynamics of the system alone, treated in isolat ...
Quantum impurity problem in ultracold gases: Dimitri M Gangardt Alex Kamenev,
... co-moving frame ...
... co-moving frame ...
Parallel algorithms for 3D Reconstruction of Asymmetric
... looked upon atomic particles as if they were very small grains of sand. At every instant a grain of sand has a definite position and velocity. This is not the case with an electron. If the position is determined with increasing accuracy, the possibility of ascertaining its velocity becomes less and ...
... looked upon atomic particles as if they were very small grains of sand. At every instant a grain of sand has a definite position and velocity. This is not the case with an electron. If the position is determined with increasing accuracy, the possibility of ascertaining its velocity becomes less and ...
1.2.8. Additional solutions to Schrödinger`s equation
... 1.2.8. Additional solutions to Schrödinger’s equation This section is devoted to some specific quantum structures that are present in semiconductor devices. These are: 1) the finite quantum well, a more realistic version of the infinite well as found in quantum well laser diodes, 2) a triangular wel ...
... 1.2.8. Additional solutions to Schrödinger’s equation This section is devoted to some specific quantum structures that are present in semiconductor devices. These are: 1) the finite quantum well, a more realistic version of the infinite well as found in quantum well laser diodes, 2) a triangular wel ...
Einstein-Podolsky-Rosen paradox and Bell`s inequalities
... where |+i1 refers to the wave function of the state in which particle 1 has a spin +1, etc. This kind of wave function is often called an entangled state, i.e., the total wave function cannot be factorized in a ...
... where |+i1 refers to the wave function of the state in which particle 1 has a spin +1, etc. This kind of wave function is often called an entangled state, i.e., the total wave function cannot be factorized in a ...
What`s new with NOON States
... conditions are relaxed we can find a desired mode transform U using Groebner Basis technique. ...
... conditions are relaxed we can find a desired mode transform U using Groebner Basis technique. ...
Exercises to Quantum Mechanics FYSN17
... A two dimensional harmonic oscillator is perturbed by H a) Use first order perturbation theory to calculate the energy shift for the ground state and the first excited state. b) Calculate the ground state energy to second order. c) Solve the full problem exactly and compare the result with the appro ...
... A two dimensional harmonic oscillator is perturbed by H a) Use first order perturbation theory to calculate the energy shift for the ground state and the first excited state. b) Calculate the ground state energy to second order. c) Solve the full problem exactly and compare the result with the appro ...
INTRODUCTION TO MECHANICS Introduction On the face of it
... so this describes a particle moving with constant velocity p. An essential example, which is equally important in the quantum case, is the harmonic oscillator in one dimension (so phase-space is just R2 ), which is given by Hamiltonian H = 21 (p2 + x2 ). It has equations of motion given by ẋ = p an ...
... so this describes a particle moving with constant velocity p. An essential example, which is equally important in the quantum case, is the harmonic oscillator in one dimension (so phase-space is just R2 ), which is given by Hamiltonian H = 21 (p2 + x2 ). It has equations of motion given by ẋ = p an ...
Quantum Computers, Factoring, and Decoherence
... When isolation is not perfect anymore there are chances that the result is irrelevant for factoring. The quantum computer is efficient as long as we can discover the interference pattern in a number of trials less than the one given by the classical algorithm. Many are skeptical of the possibility o ...
... When isolation is not perfect anymore there are chances that the result is irrelevant for factoring. The quantum computer is efficient as long as we can discover the interference pattern in a number of trials less than the one given by the classical algorithm. Many are skeptical of the possibility o ...
INTRODUCTION TO QUANTUM FIELD THEORY OF POLARIZED
... Fourier decomposition of the classical field into discrete wave modes. (ii) Coordinate transformation such that the classical wave equation for the wave modes assumes the same form as that of a harmonic oscillator. This allows us to define a “mode position” and a “mode momentum”. (iii) Transition to ...
... Fourier decomposition of the classical field into discrete wave modes. (ii) Coordinate transformation such that the classical wave equation for the wave modes assumes the same form as that of a harmonic oscillator. This allows us to define a “mode position” and a “mode momentum”. (iii) Transition to ...
Generating nonclassical quantum input field states with modulating
... physically corresponding to modes in a cavity. The choice of (time-dependent) coupling operators describing the modulator will be important in shaping the output, however, in this set-up the crucial element determining nonvacuum statistics will be the initial state φ ∈ hM of the modulator. We consi ...
... physically corresponding to modes in a cavity. The choice of (time-dependent) coupling operators describing the modulator will be important in shaping the output, however, in this set-up the crucial element determining nonvacuum statistics will be the initial state φ ∈ hM of the modulator. We consi ...
H-atom, spin
... are there? “subshell” for each n, how many different states are there? “shell” ...
... are there? “subshell” for each n, how many different states are there? “shell” ...
Another version - Scott Aaronson
... Boils down to: are there problems in BQP but not in PH? BosonSampling: A candidate for such a problem. If it’s solvable anywhere in BPPPH, then PH collapses. A. 2009: Unconditionally, there’s a black-box sampling problem (Fourier Sampling) solvable in BQP but not in BPPPH ...
... Boils down to: are there problems in BQP but not in PH? BosonSampling: A candidate for such a problem. If it’s solvable anywhere in BPPPH, then PH collapses. A. 2009: Unconditionally, there’s a black-box sampling problem (Fourier Sampling) solvable in BQP but not in BPPPH ...
Simulating Physics with Computers Richard P. Feynman
... Conveniently, quantum mechanics does not allow measurement of arbitrary “events” over this “probability space” (the Uncertainty Principle). The allowed events have non-negative probability. But inside the computation, you can get spooky behavior with no classical analog: interference. ...
... Conveniently, quantum mechanics does not allow measurement of arbitrary “events” over this “probability space” (the Uncertainty Principle). The allowed events have non-negative probability. But inside the computation, you can get spooky behavior with no classical analog: interference. ...