dorsal/arxiv
View SchemaJust Two Nonorthogonal Quantum States
| Authors | Christopher A. Fuchs |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810032 |
| URL | https://arxiv.org/abs/quant-ph/9810032 |
Abstract
From the perspective of quantum information theory, a system so simple as one restricted to just two nonorthogonal states can be surprisingly rich in physics. In this paper, we explore the extent of this statement through a review of three topics: (1) ``nonlocality without entanglement'' as exhibited in binary quantum communication channels, (2) the tradeoff between information gain and state disturbance for two prescribed states, and (3) the quantitative clonability of those states. Each topic in its own way quantifies the extent to which two states are ``quantum'' with respect to each other, i.e., the extent to which the two together violate some classical precept. It is suggested that even toy examples such as these hold some promise for shedding light on the foundations of quantum theory.
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"abstract": "From the perspective of quantum information theory, a system so simple as one\nrestricted to just two nonorthogonal states can be surprisingly rich in\nphysics. In this paper, we explore the extent of this statement through a\nreview of three topics: (1) ``nonlocality without entanglement\u0027\u0027 as exhibited\nin binary quantum communication channels, (2) the tradeoff between information\ngain and state disturbance for two prescribed states, and (3) the quantitative\nclonability of those states. Each topic in its own way quantifies the extent to\nwhich two states are ``quantum\u0027\u0027 with respect to each other, i.e., the extent\nto which the two together violate some classical precept. It is suggested that\neven toy examples such as these hold some promise for shedding light on the\nfoundations of quantum theory.",
"arxiv_id": "quant-ph/9810032",
"authors": [
"Christopher A. Fuchs"
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"title": "Just Two Nonorthogonal Quantum States",
"url": "https://arxiv.org/abs/quant-ph/9810032"
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