dorsal/arxiv
View SchemaSome Bipartite States do not Arise from Channels
| Authors | Mary Beth Ruskai |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303141 |
| URL | https://arxiv.org/abs/quant-ph/0303141 |
| Journal | IBM Journal of Research and Development 48, 111-114 (2004) |
Abstract
It is well-known that the action of a quantum channel on a state can be represented, using an auxiliary space, as the partial trace of an associated bipartite state. Recently, it was observed that for the bipartite state associated with the optimal average input of the channel, the entanglement of formation is simply the entropy of the reduced density matrix minus the Holevo capacity. It is natural to ask if every bipartite state can be associated with some channel in this way. We show that the answer is negative.
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"abstract": "It is well-known that the action of a quantum channel on a state can be\nrepresented, using an auxiliary space, as the partial trace of an associated\nbipartite state. Recently, it was observed that for the bipartite state\nassociated with the optimal average input of the channel, the entanglement of\nformation is simply the entropy of the reduced density matrix minus the Holevo\ncapacity. It is natural to ask if every bipartite state can be associated with\nsome channel in this way. We show that the answer is negative.",
"arxiv_id": "quant-ph/0303141",
"authors": [
"Mary Beth Ruskai"
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"title": "Some Bipartite States do not Arise from Channels",
"url": "https://arxiv.org/abs/quant-ph/0303141"
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