dorsal/arxiv
View SchemaA New Proof of The Strong Subadditivity Theorem
| Authors | Yong-Jian Han, Yong-Sheng Zhang, Guang-Can Guo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401059 |
| URL | https://arxiv.org/abs/quant-ph/0401059 |
Abstract
It is well known that the strong subadditivity theorem is hold for classical system, but it is very difficult to prove that it is hold for quantum system. The first proof of this theorem is due to Lieb by using the Lieb's theorem. Here we use the conditions obtained in our previous work of matrix analysis method to give a new proof of this famous theorem. This new proof is very elementary, it only needs to carefully analyse the minimal value of a function. This proof also shows that the conditions obtained in our previous work are stronger than the strong subadditivity theorem.
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"abstract": "It is well known that the strong subadditivity theorem is hold for classical\nsystem, but it is very difficult to prove that it is hold for quantum system.\nThe first proof of this theorem is due to Lieb by using the Lieb\u0027s theorem.\nHere we use the conditions obtained in our previous work of matrix analysis\nmethod to give a new proof of this famous theorem. This new proof is very\nelementary, it only needs to carefully analyse the minimal value of a function.\nThis proof also shows that the conditions obtained in our previous work are\nstronger than the strong subadditivity theorem.",
"arxiv_id": "quant-ph/0401059",
"authors": [
"Yong-Jian Han",
"Yong-Sheng Zhang",
"Guang-Can Guo"
],
"categories": [
"quant-ph"
],
"title": "A New Proof of The Strong Subadditivity Theorem",
"url": "https://arxiv.org/abs/quant-ph/0401059"
},
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