Powerpoint 7/20
... If we consider qubit 1 as one subsystem and qubits 2 and 3 as another subsystem, then the state is separable across this divide However, if we consider qubits 1 and 2 as one system and qubits 3 as one subsystem, then the state is entangled across this divide. ...
... If we consider qubit 1 as one subsystem and qubits 2 and 3 as another subsystem, then the state is separable across this divide However, if we consider qubits 1 and 2 as one system and qubits 3 as one subsystem, then the state is entangled across this divide. ...
Momentum Maps, Dual Pairs and Reduction in
... defined by τ (v) = J1 (v) − J2 (v) satisfies [τ (v), f ]? = 0 for all f ∈ C ∞ (M ). Thus τ (v) ∈ C[[~]], ∀v ∈ g. It is not hard to see that τ : g −→ C[[~]] is in fact a 1-cocycle. We then have an analog of Prop. 1.3. Proposition 2.6 (Xu, [33]) If H 1 (g) = 0, then quantum momentum maps are unique. T ...
... defined by τ (v) = J1 (v) − J2 (v) satisfies [τ (v), f ]? = 0 for all f ∈ C ∞ (M ). Thus τ (v) ∈ C[[~]], ∀v ∈ g. It is not hard to see that τ : g −→ C[[~]] is in fact a 1-cocycle. We then have an analog of Prop. 1.3. Proposition 2.6 (Xu, [33]) If H 1 (g) = 0, then quantum momentum maps are unique. T ...
Field Theory on Curved Noncommutative Spacetimes
... spaces obey “quantum symmetry” properties, since the ?-products are constructed by Drinfel’d twists [21]. This is an advantage compared to generic NC spaces, since symmetries are an important guiding principle for constructing field theories, in particular gravity theories. Recently, there has been ...
... spaces obey “quantum symmetry” properties, since the ?-products are constructed by Drinfel’d twists [21]. This is an advantage compared to generic NC spaces, since symmetries are an important guiding principle for constructing field theories, in particular gravity theories. Recently, there has been ...