dorsal/arxiv
View SchemaQuantumness of ensemble from no-broadcasting principle
| Authors | M. Horodecki, P. Horodecki, R. Horodecki, M. Piani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506174 |
| URL | https://arxiv.org/abs/quant-ph/0506174 |
| Journal | Int. J. Quantum Information 4, 105 (2006) |
Abstract
Quantum information, though not precisely defined, is a fundamental concept of quantum information theory which predicts many fascinating phenomena and provides new physical resources. A basic problem is to recognize the features of quantum systems responsible for those phenomena. One of such important features is that non-commuting quantum states cannot be broadcast: two copies cannot be obtained out of a single copy, not even reproduced marginally on separate systems. We focus on the difference of information contents between one copy and two copies which is a basic manifestation of the gap between quantum and classical information. We show that if the chosen information measure is the Holevo quantity, the difference between the information contents of one copy and two copies is zero if and only if the states can be broadcast. We propose a new approach in defining measures of quantumness of ensembles based on the difference of information contents between the original ensemble and the ensemble of duplicated states. We comment about the permanence property of quantum states and the recently introduced superbroadcasting operation. We also provide an Appendix where we discuss the status of quantum information in quantum physics, basing on the so-called isomorphism principle.
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"abstract": "Quantum information, though not precisely defined, is a fundamental concept\nof quantum information theory which predicts many fascinating phenomena and\nprovides new physical resources. A basic problem is to recognize the features\nof quantum systems responsible for those phenomena. One of such important\nfeatures is that non-commuting quantum states cannot be broadcast: two copies\ncannot be obtained out of a single copy, not even reproduced marginally on\nseparate systems. We focus on the difference of information contents between\none copy and two copies which is a basic manifestation of the gap between\nquantum and classical information. We show that if the chosen information\nmeasure is the Holevo quantity, the difference between the information contents\nof one copy and two copies is zero if and only if the states can be broadcast.\nWe propose a new approach in defining measures of quantumness of ensembles\nbased on the difference of information contents between the original ensemble\nand the ensemble of duplicated states. We comment about the permanence property\nof quantum states and the recently introduced superbroadcasting operation. We\nalso provide an Appendix where we discuss the status of quantum information in\nquantum physics, basing on the so-called isomorphism principle.",
"arxiv_id": "quant-ph/0506174",
"authors": [
"M. Horodecki",
"P. Horodecki",
"R. Horodecki",
"M. Piani"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int. J. Quantum Information 4, 105 (2006)",
"title": "Quantumness of ensemble from no-broadcasting principle",
"url": "https://arxiv.org/abs/quant-ph/0506174"
},
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