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Dynamic contraction of tensor with quantum algorithm

Authors: Yinsheng Zhang; Hongjian Zhao; Fyodor O. Minakov;

Dynamic contraction of tensor with quantum algorithm

Abstract

In the paper, contraction of a dynamic vector (i.e., both the number and the individuals of elements in the vector are non-deterministic) in a tensor is programmed. It accumulates complete N-combinations of one element of every M-set by recursion algorithm for object-oriented programming. Here, N is dynamic, i.e., uncertain before user's programming. This algorithm has overcome the difficulty of writing loop sentences in uncertain arity, yet the complexity of computation is exponential. So a quantum algorithm is proposed for realizing the computation in an acceptable time.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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