The tensor rank of tensor product of two three-qubit W states is eight

Lin Chen; Shmuel Friedland

doi:10.1016/j.laa.2017.12.015

The tensor rank of tensor product of two three-qubit W states is eight

Lin Chen^*
, Shmuel Friedland

^*此作品的通讯作者

数学科学学院

University of Illinois at Chicago

科研成果: 期刊稿件 › 文章 › 同行评审

30 引用（Scopus）

摘要

We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A.K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states.

源语言	英语
页（从-至）	1-16
页数	16
期刊	Linear Algebra and Its Applications
卷	543
DOI	https://doi.org/10.1016/j.laa.2017.12.015
出版状态	已出版 - 15 4月 2018

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10.1016/j.laa.2017.12.015

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abstract = "We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A.K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states.",

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AU - Friedland, Shmuel

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AB - We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A.K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states.

KW - Kronecker product

KW - Qubit

KW - Tensor product

KW - Tensor rank

KW - W state

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

The tensor rank of tensor product of two three-qubit W states is eight

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