dorsal/arxiv
View SchemaMode transformations and entanglement relativity in bipartite gaussian states
| Authors | Emanuele Ciancio, Paolo Giorda, Paolo Zanardi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504080 |
| URL | https://arxiv.org/abs/quant-ph/0504080 |
| DOI | 10.1016/j.physleta.2006.01.059 |
Abstract
A proper choice of subsystems for a system of identical particles e.g., bosons, is provided by second-quantized modes i.e.,creation/annihilation operators. Here we investigate how the entanglement properties of bipartite gaussian states of bosons change when modes are changed by means of unitary, number conserving, Bogolioubov transformations. This set of "virtual" bi-partitions is then finite-dimensionally parametrized and one can quantitatively address relevant questions such as the determination of the minimal and maximal available entanglement. In particular, we show that in the class of bipartite gaussian states there are states which remain separable for every possible modes redefinition, while do not exist states which remain entangled for every possible modes redefinition
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"abstract": "A proper choice of subsystems for a system of identical particles e.g.,\nbosons, is provided by second-quantized modes i.e.,creation/annihilation\noperators. Here we investigate how the entanglement properties of bipartite\ngaussian states of bosons change when modes are changed by means of unitary,\nnumber conserving, Bogolioubov transformations. This set of \"virtual\"\nbi-partitions is then finite-dimensionally parametrized and one can\nquantitatively address relevant questions such as the determination of the\nminimal and maximal available entanglement. In particular, we show that in the\nclass of bipartite gaussian states there are states which remain separable for\nevery possible modes redefinition, while do not exist states which remain\nentangled for every possible modes redefinition",
"arxiv_id": "quant-ph/0504080",
"authors": [
"Emanuele Ciancio",
"Paolo Giorda",
"Paolo Zanardi"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2006.01.059",
"title": "Mode transformations and entanglement relativity in bipartite gaussian states",
"url": "https://arxiv.org/abs/quant-ph/0504080"
},
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