In quantum mechanics, separable states are multipartite quantum states that can be written as a convex combination of product states. Product states are multipartite quantum states that can be written as a tensor product of states in each space. The physical intuition behind these definitions is that product states have no correlation between the different degrees of freedom, while separable states might have correlations, but all such correlations can be explained as due to a classical random variable, as opposed as being due to entanglement.
In the special case of pure states the definition simplifies: a pure state is separable if and only if it is a product state.
A state is said to be entangled if it is not separable. In general, determining if a state is separable is not straightforward and the problem is classed as NP-hard.
state is separable if and only if it is a product state. A state is said to be entangled if it is not separable. In general, determining if a state is...
witness is a functional which distinguishes a specific entangled state from separable ones. Entanglement witnesses can be linear or nonlinear functionals...
A separable verb is a verb that is composed of a lexical core and a separable particle. In some sentence positions, the core verb and the particle appear...
has trace 1. Extending the definition of separability from the pure case, we say that a mixed state is separable if it can be written as: 131–132 ρ = ∑...
{\displaystyle |\Psi _{AB}\rangle =|\phi _{A}\rangle |\phi _{B}\rangle } is a separablestate, then the reduced density matrix ρ A = Tr B | Ψ A B ⟩ ⟨ Ψ A B | =...
fully separable states and fully entangled states, there also exists the notion of partially separable states. The definitions of fully separable and fully...
entanglement, the quantum state of the composite system is called a separablestate. The density matrix of a bipartite system in a separablestate can be expressed...
then w {\displaystyle w} is called a separablestate. Otherwise, w {\displaystyle w} is said to be an entangled state. From the Schmidt decomposition, we...
The postulates of quantum mechanics state that pure states, at a given time t, correspond to vectors in a separable complex Hilbert space, while each measurable...
According to some linguistics theories, a stative verb is a verb that describes a state of being, in contrast to a dynamic verb, which describes an action...
perspective, the natural state space of a boson might seem to be a non-separable space. However, it is only a small separable subspace of the full tensor...
so is a verb phrase that stands in for "helped", inflected from to help stated earlier in the sentence. Similarly, in [6], others is a common noun, not...
action (bring, read, walk, run, learn), an occurrence (happen, become), or a state of being (be, exist, stand). In the usual description of English, the basic...
material, purpose. Other language authorities, like the Cambridge Dictionary, state that shape precedes rather than follows age. Determiners and postdeterminers—articles...
assemblage and state assemblage, and quantum entangled state is a state which is not separable. They share a great similarity. local hidden variable model p...
_{12}],} such that ϱ 12 {\displaystyle \varrho _{12}} is a symmetric separablestate and T r 1 ( ϱ 12 ) = T r 2 ( ϱ 12 ) = ϱ . {\displaystyle {\rm {Tr}}_{1}(\varrho...
some extent it may be a matter of convention or subjective preference to state whether a verb is regular or irregular. In English, for example, if a verb...
verbs: OE inngan > English go in. English phrasal verbs are related to the separable verbs in other West Germanic languages, which can be seen historically...
distinguish between adjectives and adverbs, or between adjectives and verbs (see stative verb). Because of such variation in the number of categories and their...
as if to, am to/is to/are to. As a noun phrase, expressing its action or state in an abstract, general way that functions, e.g. as – the subject of a clause:...
all verbs except auxiliary verbs. Lexical verbs typically express action, state, or other predicate meaning. In contrast, auxiliary verbs express grammatical...
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