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arXiv · 1910.11391

Necessary and Sufficient Condition for the Equivalence of Two Pure Multipartite States under Stochastic Local Incoherent Operations and Classical Communications

Dipayan Chakraborty·Prabir Kumar Dey·Nabendu Das·Indrani Chattopadhyay·Amit Bhar·Debasis Sarkar
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Abstract

Resource theory of quantum coherence originated like entanglement in quantum information theory. However, still now proper classification of quantum states is missing under coherence. In this work, we have provided a classification of states under local incoherent operations. We have succeeded in deriving the necessary and sufficient condition for which two pure multipartite states are equivalent under stochastic local incoherent operations and classical communications (SLICC) and local incoherent operations and classical communications (LICC). In particular, we have succeeded in characterizing three qubit pure states under SLICC. Our result reveals the existence of infinite number of SLICC inequivalent classes for three qubit systems.

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Dipayan Chakraborty, Prabir Kumar Dey, Nabendu Das, Indrani Chattopadhyay, Amit Bhar, Debasis Sarkar. 2019-10-24. Necessary and Sufficient Condition for the Equivalence of Two Pure Multipartite States under Stochastic Local Incoherent Operations and Classical Communications. https://doi.org/10.1103/physreva.100.052316

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