$\epsilon$-convertibility of entangled states and extension of Schmidt rank in infinite-dimensional systems
نویسندگان
چکیده
منابع مشابه
ǫ-convertibility of entangled states and extension of Schmidt rank in infinite-dimensional systems
By introducing the concept of ǫ-convertibility, we extend Nielsen’s and Vidal’s theorems to the entanglement transformation of infinite-dimensional systems. Using an infinitedimensional version of Vidal’s theorem we derive a new stochastic-LOCC (SLOCC) monotone which can be considered as an extension of the Schmidt rank. We show that states with polynomially-damped Schmidt coefficients belong t...
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Infinite Dimensional Entangled Markov Chains
We continue the analysis of nontrivial examples of quantum Markov processes. This is done by applying the construction of entangled Markov chains obtained from classical Markov chains with infinite state–space. The formula giving the joint correlations arises from the corresponding classical formula by replacing the usual matrix multiplication by the Schur multiplication. In this way, we provid...
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ژورنال
عنوان ژورنال: Quantum Information and Computation
سال: 2008
ISSN: 1533-7146,1533-7146
DOI: 10.26421/qic8.1-2-3