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-2 votes
1 answer
144 views

What is meant by " a basis is diagonal"?

I am trying to understand Schmidt decomposition. I am stuck in one sentence here. See the example picture. Here, I can understand everything except the line "For both HA and HB the Schmidt basis ...
INDRANIL MAITI's user avatar
1 vote
5 answers
1k views

Mathematical explanation of bra-ket notation in quantum mechanics

$\newcommand{\hp}[1]{\hphantom{#1}}$ We have the entangled state of two pairs of qubits: $$ |\psi \rangle =\frac{1}{2}|0011\rangle-\frac{1}{2}|0110\rangle-\frac{1}{2}|1001\rangle+\frac{1}{2}|1100\...
azerbajdzan's user avatar
1 vote
1 answer
70 views

Is a qutrit an example of tripartite entanglement? [closed]

Is a qutrit considered to be in a state of tripartite entanglement?
Kurt Hikes's user avatar
  • 4,509
3 votes
1 answer
101 views

Say you run qubit $A = (|0⟩ + |1⟩) / √2$ and qubit $B = |0⟩$ through a CNOT gate. What is the state of qubit $B$ afterwards?

I am new to the weeds of quantum computing and this question is probably pretty elementary. Say you run qubit A = (|0⟩ + |1⟩) / √2 and qubit B = |0⟩ through a CNOT gate. What is the state of qubit B ...
jcgrowley's user avatar
  • 133
-3 votes
2 answers
194 views

Do qubits need to be in superposition to be entangled? [closed]

Do qubits need to be in superposition to be entangled? Put another way, can qubits be entangled but not in superposition?
CCCSuffolk's user avatar
-2 votes
2 answers
116 views

Efficient quantum circuit to prepare a set off entangled state

If I try to prepare an entangled state on $N$ pairs of qubits ($2N$ qubits) as $$|\psi\rangle=\sum_{i=1}^{2^N}w_i|ii\rangle , $$ with $w_i$ real factors, is there an efficient quantum circuit to ...
XXDD's user avatar
  • 1,548
8 votes
1 answer
3k views

Quantum circuit for a $3$-qubit $|W \rangle$ state [closed]

Can someone specify a quantum circuit that will deterministically output the $3$-qubit $|W \rangle$ state, if the input to the circuit is $|0,0,0 \rangle$? Or, is there a quantum circuit with a ...
sunspots's user avatar
  • 722