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| Main Authors: | , |
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| 格式: | Preprint |
| 出版: |
2023
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| 主題: | |
| 在線閱讀: | https://arxiv.org/abs/2312.06944 |
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書本目錄:
- In this paper, we represent $n$-qubits as hypermatrices and consider various applications to quantum entanglement. In particular, we use the higher-order singular value decomposition of hypermatrices to prove that the $π$-transpose is an LU invariant. Additionally, through our construction we show that the matrix representation of the combinatorial hyperdeterminant of $2n$-qubits can be expressed as a product of the second Pauli matrix, allowing us to derive a formula for the combinatorial hyperdeterminant of $2n$-qubits in terms of the $n$-tangle.