dorsal/arxiv
View SchemaCompressing Mixed-State Sources by Sending Classical Information
| Authors | Emina Soljanin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110130 |
| URL | https://arxiv.org/abs/quant-ph/0110130 |
Abstract
We consider visible compression for discrete memoryless sources of mixed quantum states when only classical information can be sent from Alice to Bob. We assume that Bob knows the source statistics, and that Alice and Bob have identical random number generators. We put in an information theoretic framework some recent results on visible compression for sources of states with commuting density operators, and remove the commutativity requirement. We derive a general achievable compression rate, which is for the noncommutative case still higher than the known lower bound. We also present several related problems of classical information theory, and show how they can be used to answer some questions of the mixed state compression problem.
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"abstract": "We consider visible compression for discrete memoryless sources of mixed\nquantum states when only classical information can be sent from Alice to Bob.\nWe assume that Bob knows the source statistics, and that Alice and Bob have\nidentical random number generators. We put in an information theoretic\nframework some recent results on visible compression for sources of states with\ncommuting density operators, and remove the commutativity requirement. We\nderive a general achievable compression rate, which is for the noncommutative\ncase still higher than the known lower bound. We also present several related\nproblems of classical information theory, and show how they can be used to\nanswer some questions of the mixed state compression problem.",
"arxiv_id": "quant-ph/0110130",
"authors": [
"Emina Soljanin"
],
"categories": [
"quant-ph"
],
"title": "Compressing Mixed-State Sources by Sending Classical Information",
"url": "https://arxiv.org/abs/quant-ph/0110130"
},
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