dorsal/arxiv
View SchemaEntanglement entropy of multipartite pure states
| Authors | Sergei Bravyi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205021 |
| URL | https://arxiv.org/abs/quant-ph/0205021 |
| DOI | 10.1103/PhysRevA.67.012313 |
| Journal | Phys. Rev. A 67, 012313 (2003) |
Abstract
Consider a system consisting of $n$ $d$-dimensional quantum particles and arbitrary pure state $\Psi$ of the whole system. Suppose we simultaneously perform complete von Neumann measurements on each particle. One can ask: what is the minimal possible value $S[\Psi]$ of the entropy of outcomes joint probability distribution? We show that $S[\Psi]$ coincides with entanglement entropy for bipartite states. We compute $S[\Psi]$ for two sample multipartite states: the hexacode state ($n=6, d=2$) and determinant states ($n=d$). The generalization of determinant states to the case $d<n$ is considered.
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"abstract": "Consider a system consisting of $n$ $d$-dimensional quantum particles and\narbitrary pure state $\\Psi$ of the whole system. Suppose we simultaneously\nperform complete von Neumann measurements on each particle. One can ask: what\nis the minimal possible value $S[\\Psi]$ of the entropy of outcomes joint\nprobability distribution? We show that $S[\\Psi]$ coincides with entanglement\nentropy for bipartite states. We compute $S[\\Psi]$ for two sample multipartite\nstates: the hexacode state ($n=6, d=2$) and determinant states ($n=d$). The\ngeneralization of determinant states to the case $d\u003cn$ is considered.",
"arxiv_id": "quant-ph/0205021",
"authors": [
"Sergei Bravyi"
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"quant-ph"
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"doi": "10.1103/PhysRevA.67.012313",
"journal_ref": "Phys. Rev. A 67, 012313 (2003)",
"title": "Entanglement entropy of multipartite pure states",
"url": "https://arxiv.org/abs/quant-ph/0205021"
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