Matrix product states for the absolute beginner
... not covered: entanglement area laws, RG, topological aspects, symmetries etc. ...
... not covered: entanglement area laws, RG, topological aspects, symmetries etc. ...
On properties of the Generalized Wasserstein distance
... Abstract The Wasserstein distances Wp (p ≥ 1), defined in terms of solution to the Monge-Kantorovich problem, are known to be a useful tool to investigate transport equations. In particular, the BenamouBrenier formula characterizes the square of the Wasserstein distance W2 as the infimum of the kine ...
... Abstract The Wasserstein distances Wp (p ≥ 1), defined in terms of solution to the Monge-Kantorovich problem, are known to be a useful tool to investigate transport equations. In particular, the BenamouBrenier formula characterizes the square of the Wasserstein distance W2 as the infimum of the kine ...
Analysis 1.pdf
... We also note that a relation < is defined and brings order on the set of rational numbers. Thus for any two rational numbers p and q we have that either p = q or q < p and it is transitive. It is also known that the rational number system is inadequate. For instance there is no rational number p suc ...
... We also note that a relation < is defined and brings order on the set of rational numbers. Thus for any two rational numbers p and q we have that either p = q or q < p and it is transitive. It is also known that the rational number system is inadequate. For instance there is no rational number p suc ...
Four-photon orbital angular momentum entanglement
... with ` = {0, ±1}. Exploration of the rich correlations in the full higher-dimensional multipartite state (Eq. 2) will require higher pump beam intensities and therefore the use of nonlinear crystals with higher damage threshold, both within reach today. The 4-photon OAM entangled state that we have ...
... with ` = {0, ±1}. Exploration of the rich correlations in the full higher-dimensional multipartite state (Eq. 2) will require higher pump beam intensities and therefore the use of nonlinear crystals with higher damage threshold, both within reach today. The 4-photon OAM entangled state that we have ...
PT symmetry as a necessary and sufficient condition for unitary time
... was noted in [2] that if a Hamiltonian is PT -symmetric, the secular equation would be real. Moreover, it is not specifically PT invariance itself that is required for the proof. All one needs is that H be invariant under the action of the product of a discrete linear operator and a discrete antilin ...
... was noted in [2] that if a Hamiltonian is PT -symmetric, the secular equation would be real. Moreover, it is not specifically PT invariance itself that is required for the proof. All one needs is that H be invariant under the action of the product of a discrete linear operator and a discrete antilin ...
