dorsal/arxiv
View SchemaThe Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography
| Authors | Matthias Christandl |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604183 |
| URL | https://arxiv.org/abs/quant-ph/0604183 |
Abstract
This thesis presents a study of the structure of bipartite quantum states. In the first part, the representation theory of the unitary and symmetric groups is used to analyse the spectra of quantum states. In particular, it is shown how to derive a one-to-one relation between the spectra of a bipartite quantum state and its reduced states, and the Kronecker coefficients of the symmetric group. In the second part, the focus lies on the entanglement of bipartite quantum states. Drawing on an analogy between entanglement distillation and secret-key agreement in classical cryptography, a new entanglement measure, `squashed entanglement', is introduced.
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"abstract": "This thesis presents a study of the structure of bipartite quantum states. In\nthe first part, the representation theory of the unitary and symmetric groups\nis used to analyse the spectra of quantum states. In particular, it is shown\nhow to derive a one-to-one relation between the spectra of a bipartite quantum\nstate and its reduced states, and the Kronecker coefficients of the symmetric\ngroup. In the second part, the focus lies on the entanglement of bipartite\nquantum states. Drawing on an analogy between entanglement distillation and\nsecret-key agreement in classical cryptography, a new entanglement measure,\n`squashed entanglement\u0027, is introduced.",
"arxiv_id": "quant-ph/0604183",
"authors": [
"Matthias Christandl"
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"quant-ph"
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"title": "The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography",
"url": "https://arxiv.org/abs/quant-ph/0604183"
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