A Post Processing Method for Quantum Prime Factorization
... I supposed that measured value probably would get the period! I continued with (3) for trying to find at least one of the prime factors. Practically the result was satisfactory and at most conditions, one of the prime factors of composite N was got! Interestingly the probably periods often didn’t sa ...
... I supposed that measured value probably would get the period! I continued with (3) for trying to find at least one of the prime factors. Practically the result was satisfactory and at most conditions, one of the prime factors of composite N was got! Interestingly the probably periods often didn’t sa ...
beyond space and time - Penn State University
... of 10 -33 centimeters. That is 20 orders of magnitude smaller than what the world's best particle accelerators can detect. At this scale, Einstein's theory of general relativity fails. Its subject is the connection between space, time, matter and energy. But on the Planck scale it gives unreasonable ...
... of 10 -33 centimeters. That is 20 orders of magnitude smaller than what the world's best particle accelerators can detect. At this scale, Einstein's theory of general relativity fails. Its subject is the connection between space, time, matter and energy. But on the Planck scale it gives unreasonable ...
Jan. 17 notes - Review of electrostatics pt. 1
... The increment of solid angle dΩ is really just a 3-dimensional version of an increment of angle dθ. The following figure might make this clearer. I didn't show the following figure in class (too hard to draw on the whiteboard). ...
... The increment of solid angle dΩ is really just a 3-dimensional version of an increment of angle dθ. The following figure might make this clearer. I didn't show the following figure in class (too hard to draw on the whiteboard). ...
The Fourier transform of e
... fˆa (w) = e−kw in which k is a positive constant. This is highly remarkable and does not hold in the general case. On the other hand, other functions do exist for which the Fourier transform is of the same form as the original function, meaning that fa (x) is not entirely exceptional in this respect ...
... fˆa (w) = e−kw in which k is a positive constant. This is highly remarkable and does not hold in the general case. On the other hand, other functions do exist for which the Fourier transform is of the same form as the original function, meaning that fa (x) is not entirely exceptional in this respect ...
Effective Field Theory Approach to Gravitationally Induced
... the quantum gravity correction to the Newtonian potential between two ordinary masses [36], it should be possible to quantitatively evaluate gravitationally induced decoherence rates by employing standard perturbative quantum gravity as an effective field theory [36,39]; whatever the final form the ...
... the quantum gravity correction to the Newtonian potential between two ordinary masses [36], it should be possible to quantitatively evaluate gravitationally induced decoherence rates by employing standard perturbative quantum gravity as an effective field theory [36,39]; whatever the final form the ...
Relativistic Quantum Mechanics
... axis of rotation n and the coordinate axes and σ = (σx , σy , σz ) are Pauli matrices. The vector space of spin matrices (a subspace of all 2 x 2 complex matrices) can be defined using four basis vectors, such as the unit matrix and three basis vectors formed using Pauli matrices: iσx , iσy , iσz . ...
... axis of rotation n and the coordinate axes and σ = (σx , σy , σz ) are Pauli matrices. The vector space of spin matrices (a subspace of all 2 x 2 complex matrices) can be defined using four basis vectors, such as the unit matrix and three basis vectors formed using Pauli matrices: iσx , iσy , iσz . ...
Real World Applications The Maxey–Riley equation
... All these numerical schemes implicitly assume the existence and uniqueness of solutions of the MR equation. The solutions can indeed be found explicitly for certain simple velocity fields [17,23]. To the best of our knowledge, however, general existence and uniqueness results have not been proven, a ...
... All these numerical schemes implicitly assume the existence and uniqueness of solutions of the MR equation. The solutions can indeed be found explicitly for certain simple velocity fields [17,23]. To the best of our knowledge, however, general existence and uniqueness results have not been proven, a ...
