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### What is the difference between classical-quantum and completely classical states?

Your expressions give a pretty clear distinction: in the classical-quantum state, the eigenbases $\left|y_x\right>$ can be different for different states $x$ of the classical register $A$, and in ...
1 vote
Accepted

### Is Classical-Classical-Quantum state equivalent to Classical-Quantum state?

Say you have a pair of sets $\mathcal{X} = \{x(1), x(2), \dots, x(|\mathcal{X}|)\}$ and $\mathcal{Y} = \{y(1), y(2), \dots, y(|\mathcal{Y}|)\}$. Then we can define random variables $X, Y$ taking ...
• 7,183
1 vote
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### How should $\rho(b,b')$ be interpreted in the context of classical-quantum state

First of all, the authors define on page 6 that: A density matrix that is diagonal in the computational basis corresponds to a classical random variable. and A classical-quantum state is a state of ...
• 6,692
1 vote

### How should $\rho(b,b')$ be interpreted in the context of classical-quantum state

$\rho$ is a probability distribution. $\rho(X)$ is a probability distribution with support of a single random variable, $X$. $\rho(X,Y)$ then is a probability distribution with support of two random ...

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