
The Mapping from 2D Ising Model to Quantum Spin Chain
... In this section, I will use the classical Ising chain to show the general correspondences between the classical and quantum system under this mapping. Although, this simple model does not have any phase transitions, it is still worth examining as there are regions in which the correlation “length” ξ ...
... In this section, I will use the classical Ising chain to show the general correspondences between the classical and quantum system under this mapping. Although, this simple model does not have any phase transitions, it is still worth examining as there are regions in which the correlation “length” ξ ...
Quantum Query Lower Bounds: The Adversary Method
... means ≥ 1/18, and hα|βi ≤ 1 − ≤ 1 − 1/18 ≤ 0.999. ...
... means ≥ 1/18, and hα|βi ≤ 1 − ≤ 1 − 1/18 ≤ 0.999. ...
A Quantum Approximate Optimization Algorithm
... QAA works by producing a state with a large overlap with the optimal string. In this sense (10), although correct, may be misleading. In fact on the ring of disagrees the state produced at p = 1, which gives a 3/4 approximation ratio, has an exponentially small overlap with the optimal strings. We a ...
... QAA works by producing a state with a large overlap with the optimal string. In this sense (10), although correct, may be misleading. In fact on the ring of disagrees the state produced at p = 1, which gives a 3/4 approximation ratio, has an exponentially small overlap with the optimal strings. We a ...
Macroscopicity of Mechanical Quantum Superposition States
... effect a translation s and a velocity boost v of the elementary particle, while gðs; qÞ is a positive, isotropic, and normalized phase-space distribution, whose standard deviations for the position and the momentum variable will be denoted by s and q . The von Neumann equation is reobtained for s ...
... effect a translation s and a velocity boost v of the elementary particle, while gðs; qÞ is a positive, isotropic, and normalized phase-space distribution, whose standard deviations for the position and the momentum variable will be denoted by s and q . The von Neumann equation is reobtained for s ...
Coleman progress - Rutgers Physics
... The electrons that carry current in a metal are similar to photons of light: they are quantum waves whose wavelength decreases as their momentum increases. Unlike photons however, electrons obey the ‘Pauli exclusion principle’: no two electrons can share the same wavelength (or momentum). To minimiz ...
... The electrons that carry current in a metal are similar to photons of light: they are quantum waves whose wavelength decreases as their momentum increases. Unlike photons however, electrons obey the ‘Pauli exclusion principle’: no two electrons can share the same wavelength (or momentum). To minimiz ...