dorsal/arxiv
View SchemaThe Role of Relative Entropy in Quantum Information Theory
| Authors | V. Vedral |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102094 |
| URL | https://arxiv.org/abs/quant-ph/0102094 |
| DOI | 10.1103/RevModPhys.74.197 |
Abstract
Quantum mechanics and information theory are among the most important scientific discoveries of the last century. Although these two areas initially developed separately it has emerged that they are in fact intimately related. In this review I will show how quantum information theory extends traditional information theory by exploring the limits imposed by quantum, rather than classical mechanics on information storage and transmission. The derivation of many key results uniquely differentiates this review from the "usual" presentation in that they are shown to follow logically from one crucial property of relative entropy. Within the review optimal bounds on the speed-up that quantum computers can achieve over their classical counter-parts are outlined using information theoretic arguments. In addition important implications of quantum information theory to thermodynamics and quantum measurement are intermittently discussed. A number of simple examples and derivations including quantum super-dense coding, quantum teleportation, Deutsch's and Grover's algorithms are also included.
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"abstract": "Quantum mechanics and information theory are among the most important\nscientific discoveries of the last century. Although these two areas initially\ndeveloped separately it has emerged that they are in fact intimately related.\nIn this review I will show how quantum information theory extends traditional\ninformation theory by exploring the limits imposed by quantum, rather than\nclassical mechanics on information storage and transmission. The derivation of\nmany key results uniquely differentiates this review from the \"usual\"\npresentation in that they are shown to follow logically from one crucial\nproperty of relative entropy. Within the review optimal bounds on the speed-up\nthat quantum computers can achieve over their classical counter-parts are\noutlined using information theoretic arguments. In addition important\nimplications of quantum information theory to thermodynamics and quantum\nmeasurement are intermittently discussed. A number of simple examples and\nderivations including quantum super-dense coding, quantum teleportation,\nDeutsch\u0027s and Grover\u0027s algorithms are also included.",
"arxiv_id": "quant-ph/0102094",
"authors": [
"V. Vedral"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/RevModPhys.74.197",
"title": "The Role of Relative Entropy in Quantum Information Theory",
"url": "https://arxiv.org/abs/quant-ph/0102094"
},
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