0 - Department of Computer Science and Engineering, CUHK
... We’ve seen that random walk converges to the stationary distribution. Next question: how fast is the convergence? Let’s define the mixing time as min {T: ∥pi(T) - π∥ ≤ ε} where pi(T): the distribution in time T, starting at i. ∥∙∥: some norm. We’ll see the reason of mixing later. Now let’s first see ...
... We’ve seen that random walk converges to the stationary distribution. Next question: how fast is the convergence? Let’s define the mixing time as min {T: ∥pi(T) - π∥ ≤ ε} where pi(T): the distribution in time T, starting at i. ∥∙∥: some norm. We’ll see the reason of mixing later. Now let’s first see ...
The Bethe ansatz after 75 years
... plane wave of the form exp(ikx), with an energy that depends on the wavenumber k, which itself must be an integer multiple of 2π/L. Eigenstates with two or more particles are more complicated because the particles interact—but the interaction is short-range, since only pairs of nearest-neighbor spin ...
... plane wave of the form exp(ikx), with an energy that depends on the wavenumber k, which itself must be an integer multiple of 2π/L. Eigenstates with two or more particles are more complicated because the particles interact—but the interaction is short-range, since only pairs of nearest-neighbor spin ...
Quantum computers - Quantum Engineering Group
... Today it is understood that the answer is yes, and many research groups around the world are working towards the highly ambitious technological goal of building a quantum computer, which would dramatically improve computational power for particular tasks. A number of physical systems, spanning much ...
... Today it is understood that the answer is yes, and many research groups around the world are working towards the highly ambitious technological goal of building a quantum computer, which would dramatically improve computational power for particular tasks. A number of physical systems, spanning much ...
The Physical World as a Virtual Reality
... believed only in the physical world, theists who believed in a world beyond it as well, and agnostics who didn't know. Today, dualism seems increasingly an illogical kludge5, a marriage of convenience not truth, as how can two distinct realities co-exist? Mind and body realms that don't interact are ...
... believed only in the physical world, theists who believed in a world beyond it as well, and agnostics who didn't know. Today, dualism seems increasingly an illogical kludge5, a marriage of convenience not truth, as how can two distinct realities co-exist? Mind and body realms that don't interact are ...
Quantum error-correction in black holes
... ynamics by finding ballistic growth of local unitary operators and the linear growth of he tripartite information until the scrambling time. For the rest of discussion, we take he infinite temperature = 0 limit so we can ignore the hyperbolic part and focus in on he planer tiling of tensor networks ...
... ynamics by finding ballistic growth of local unitary operators and the linear growth of he tripartite information until the scrambling time. For the rest of discussion, we take he infinite temperature = 0 limit so we can ignore the hyperbolic part and focus in on he planer tiling of tensor networks ...
abstracts - Istituto Nazionale di Fisica Nucleare
... typical aspect of the formalism, i.e. entanglement, the feature which Schrödinger has appropriately identified as the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought. In turn, the physical counterpart of this formal aspect are the ...
... typical aspect of the formalism, i.e. entanglement, the feature which Schrödinger has appropriately identified as the characteristic trait of quantum mechanics, the one that enforces its entire departure from classical lines of thought. In turn, the physical counterpart of this formal aspect are the ...
Entropy and Entanglement of Moving Two Atoms in a Squeezed
... squeezed states, even and odd coherent states and so on, don’t have minimum-uncertainty and they are nonclassical states, and have more applications for quantum communications and weak signal detection [8]. Quantum and classical correlations are at the heart of quantum information theory. It is seen ...
... squeezed states, even and odd coherent states and so on, don’t have minimum-uncertainty and they are nonclassical states, and have more applications for quantum communications and weak signal detection [8]. Quantum and classical correlations are at the heart of quantum information theory. It is seen ...
