dorsal/arxiv
View SchemaLaw of Excluded Quantum Gambling Strategies
| Authors | Gavriel Segre |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0104080 |
| URL | https://arxiv.org/abs/quant-ph/0104080 |
Abstract
We introduce and analyze a quantum analogue of the Law of Excluded Gambling Strategies of Classical Decision Theory by the definition of different kind of quantum casinos. The necessity of keeping into account entaglement (by the way we give a staightforward generalization of Schmidt's entanglement measure) forces us to adopt the general algebraic language of Quantum Probability Theory whose essential points are reviewed. The Mathematica code of two packages simulating, respectively, classical and quantum gambling is included. The deep link existing between the censorship of winning quantum gambling strategies and the central notion of Quantum Algorithmic Information Theory, namely quantum algorithmic randomness (by the way we introduce and discard the naive noncommutative generalization of the original Kolmogorov definition), is analyzed
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"abstract": "We introduce and analyze a quantum analogue of the Law of Excluded Gambling\nStrategies of Classical Decision Theory by the definition of different kind of\nquantum casinos. The necessity of keeping into account entaglement (by the way\nwe give a staightforward generalization of Schmidt\u0027s entanglement measure)\nforces us to adopt the general algebraic language of Quantum Probability Theory\nwhose essential points are reviewed. The Mathematica code of two packages\nsimulating, respectively, classical and quantum gambling is included. The deep\nlink existing between the censorship of winning quantum gambling strategies and\nthe central notion of Quantum Algorithmic Information Theory, namely quantum\nalgorithmic randomness (by the way we introduce and discard the naive\nnoncommutative generalization of the original Kolmogorov definition), is\nanalyzed",
"arxiv_id": "quant-ph/0104080",
"authors": [
"Gavriel Segre"
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"title": "Law of Excluded Quantum Gambling Strategies",
"url": "https://arxiv.org/abs/quant-ph/0104080"
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