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1 vote

Why are we only interested in the linear combination $|\phi\rangle = a |0\rangle + b |1\rangle$?

A qubit is defined as living in a 2-dimensional Hilbert space. This means one cannot define more than 2 linearly independent basis states. Since $|0\rangle$ and $|1\rangle$ are linearly independent (...
Quantum Mechanic's user avatar
-1 votes

Why do we need Entanglement?

Quantum entanglement is used in many algorithms such as HHL, which solves a linear system of equations. HHL uses entanglement by entangling our data to an ancilla qubit so we measure that qubit ...
Saksham's user avatar
  • 47
8 votes

Why do we need Entanglement?

Almost every quantum state is entangled$^1$. It is therefore unsurprising that quantum algorithms bump into them every so often. In fact, an attempt to navigate the space of all quantum states without ...
Adam Zalcman's user avatar
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