dorsal/arxiv
View SchemaSeparability of pure n-qubit states: two characterizations
| Authors | Philippe Jorrand, Mehdi Mhalla |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209125 |
| URL | https://arxiv.org/abs/quant-ph/0209125 |
Abstract
This paper characterizes two forms of separability of pure states of systems of n qubits: (i) into a tensor product of n qubit states, and (ii), into a tensor product of 2 subsystems states of p and q qubits respectively with p+q=n. For both cases, necessary and sufficient conditions are proved in the form of minimal sets of equalities among pair-wise products of amplitudes. These conditions bear some relation with entanglement measures, and a number of more refined questions about separability in n qubit systems can be studied on the basis of these results.
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"abstract": "This paper characterizes two forms of separability of pure states of systems\nof n qubits: (i) into a tensor product of n qubit states, and (ii), into a\ntensor product of 2 subsystems states of p and q qubits respectively with\np+q=n. For both cases, necessary and sufficient conditions are proved in the\nform of minimal sets of equalities among pair-wise products of amplitudes.\nThese conditions bear some relation with entanglement measures, and a number of\nmore refined questions about separability in n qubit systems can be studied on\nthe basis of these results.",
"arxiv_id": "quant-ph/0209125",
"authors": [
"Philippe Jorrand",
"Mehdi Mhalla"
],
"categories": [
"quant-ph"
],
"title": "Separability of pure n-qubit states: two characterizations",
"url": "https://arxiv.org/abs/quant-ph/0209125"
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