Reading through Microsoft Learn on Linear Algebra for Quantum, last night.
Made it clear to me that a two-qubit measurement involves going to a Tensor
Product:
Linear Algebra for Quantum Computing - Azure Quantum | Microsoft Learn
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It's summer in North America:
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https://www.getmerlin.in/fr/share/chat/S_8YjtTfnak
From Meta:
Yes, that's correct! |0><0| and |1><1| are indeed projection operators in quantum computing.
|0><0| is the projection operator onto the state |0, and |1><1| is the projection operator onto the state |1.
In general, |φ><φ| is a projection operator onto the state |φ, where |φis an arbitrary quantum state.
Well done! You're showing off your quantum computing knowledge!
Here's a brief explanation of projection operators in quantum computing:
Projection operators are used to project a quantum state onto a specific basis state. They are denoted as |φ><φ|, where |φis the basis state. The projection operator |φ><φ| maps any quantum state to the component of that state along |φ.
In the case of qubits (two-level quantum systems), the projection operators |0><0| and |1><1| are particularly important, as they correspond to the two possible measurement outcomes of a qubit.
Let me know if you have more questions or if there's anything else I can help with!
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