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About Unifying Typical Entanglement and Coin Tossing: On Randomization in Probabilistic Theories
This document presents a unifying formula that describes randomization in probabilistic theories, including typical entanglement in quantum theory and coin tossing in classical probability theory. The key results are: 1) The formula relates the expected purity of a subsystem to simple properties of the state space, like its dimension and capacity. 2) It shows that randomization is a universal phenomenon across probabilistic theories, depending only on coarse features of the theory. 3) As a special case, the formula quantifies the fact that pure quantum states are typically almost maximally entangled, with mixed subsystems. The derivation of the formula generalizes concepts like purity and Pauli operators to the framework of generalized probabil
Detailed Information
| Author: | ['Vlad Preda'] |
|---|---|
| Publication Year: | 2015 |
| Pages: | 35 |
| Language: | English |
| Format: | |
| Price: | FREE |
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