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Results tagged with quantum-state
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user 5290
Questions about or related to quantum states. Consider using the density-matrix tag when relevant.
6
votes
What is the actual Hilbert space of a $N$-qubit system?
First off, the Bloch sphere is the complex projective line $\mathbb{C}P^1$, which is homeomorphic to $S^2$, while $SU(2)$ is homeomorphic to $S^3$. $SU(2^N)$ is the group of operators on pure states, …
- 1,273
2
votes
Accepted
Simultaneous measurements of Pauli observables and number of copies required
Yes, that's actually precisely the reason why simultaneous measurement is so useful, and any mutually commuting set of observables is simultaneously measurable.
- 1,273
0
votes
Is $|A\rangle = \frac{1}{\sqrt2} |00\rangle + \frac{1}{\sqrt2} |01\rangle$ a valid quantum s...
To add to the answer from Yet another Random Guy, you can see for yourself by recreating the state programmatically (here using the Amazon Braket SDK):
from braket.circuits import Circuit
from braket. …
- 1,273
2
votes
Accepted
calculating the unitary of a circuit using Qiskit's simulator
You multiply gate matrices in reverse order of application in the circuit. To see this, notice that you add gates to the right of the initial state in a circuit, while you left-multiply matrices by th …
- 1,273