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Entanglement Theory Quantum Correlations

Obtain W-state from three-qubit GHZ-state on rate 1

arXiv
Authors: Nengkun Yu, Cheng Guo, Runyao Duan

Year

2013

Paper ID

32634

Status

Preprint

Abstract Read

~2 min

Abstract Words

111

Citations

N/A

Abstract

In this paper, we study the entanglement transformation rate between multipartite states under stochastic local operations and classical communication (SLOCC). Firstly, we show that the entanglement transformation rate from ket{GHZ}=tfrac{1}{sqrt{2}}\(ket{000}+ket{111}\) to ket{W}=tfrac{1}{sqrt{3}}\(ket{100}+ket{010}+ket{001}\) is 1, that is, one can obtain 1 copy of W-state, from 1 copy of GHZ-state by SLOCC, asymptotically. We then generalize this result to a lower bound on the rate that from N-partite GHZ-state to Dicke states. For some special cases, the optimality of this bound is proved. We then discuss the tensor rank of matrix permanent by evaluating the the tensor rank of Dicke state.

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  • In this paper, we study the entanglement transformation rate between multipartite states under stochastic local operations and classical communication (SLOCC).

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.4833 [2] arXiv https://arxiv.org/abs/1309.4833 [3] Publisher https://arxiv.org/abs/1309.4833

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