7 votes
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How to convert a partially entangled state into maximally entangled using SLOCC

This case is pretty straightforward, if you're already familiar with generalised measurements. Assume $\alpha>\beta$ are real numbers. We can define $$ M_1=\left(\begin{array}{cc} \sqrt{\frac{\beta}...
DaftWullie's user avatar
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4 votes
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What is the relation between maximally entangled and maximally mixed?

What is a maximally mixed state? Intuitively, think of a maximally mixed state as a quantum state where all possible measurement outcomes are equally likely to occur at random upon measurement. If ...
FDGod's user avatar
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4 votes
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Is possible to write a separable state as a finite or countable infinite sum of product states?

Yes, you can always write an integral of separable states as a (finite) convex combination of product states, owing to the fact that the set of separable states is compact. A quick way to see this is ...
John Watrous's user avatar
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3 votes
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What is the difference between quantum teleportation and quantum entanglement with dense coding?

Both teleportation and (super)dense coding use entanglement as a resource. I like to think that one is dual to the other, as the quantum circuits are, basically, inverses of each other. For example, ...
Mark Spinelli's user avatar
1 vote

Can you apply a CNOT gate on qubits in MBQC that aren´t next to each other?

Maybe you should clarify exactly what you mean by MBQC, because to me this seems like a trivial "of course you can". For example, a CNOT can be implemented up to Pauli tracking by this ...
Craig Gidney's user avatar
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1 vote

How to show that the GHZ state is absolutely maximally entangled?

I assume that you talk about the standard case of a $3$-qubit GHZ state (the generalized versions of $n$-qubit GHZ states are not absolutely maximally entangled): $$ |GHZ\rangle = \frac{1}{\sqrt{2}} \...
Ohad's user avatar
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1 vote

How to convert a partially entangled state into maximally entangled using SLOCC

Here's a simple circuit construction. Not sure if it's optimal. By using a CNOT gate onto a partially-rotated ancilla qubit, you get partial information about $|00\rangle$ vs $|11\rangle$. You can ...
Craig Gidney's user avatar
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1 vote
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Creating entangled states via Rydberg blockade

The key insight here is to realize $|gg\rangle$ is only coupled with $|rg\rangle+|gr\rangle$ (bright state) under laser driving. The state with minus phase, $|rg\rangle-|gr\rangle$, is called dark ...
Yunzhe's user avatar
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1 vote

Creating entangled states via Rydberg blockade

Good question! When we apply our laser pulse we get a $|\psi\rangle = |rg\rangle + |gr\rangle$. Apply another pulse properly can induce stimulated emission which causes a Rydberg state to decay back ...
Chris E's user avatar
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