How are qubits transmitted?

How are qubits transmitted?

The qubits can be sent to Bob through a fiber-optic cable. By comparing measurements of the state of a fraction of these qubits—a process known as “key sifting”—Alice and Bob can establish that they hold the same key.

How does qubit entanglement work?

What is entanglement? Researchers can generate pairs of qubits that are “entangled,” which means the two members of a pair exist in a single quantum state. Changing the state of one of the qubits will instantaneously change the state of the other one in a predictable way.

Which is an entangled state of a qubit?

This state is very interesting to us, because it is entangled. This leads us neatly on to the next section. We saw in the previous section we could create the state: This is known as a Bell state. We can see that this state has 50% probability of being measured in the state |00⟩ | 00 ⟩, and 50% chance of being measured in the state |11⟩ | 11 ⟩.

How to apply a gate to one qubit at a time?

If we want to apply a gate to only one qubit at a time (such as in the circuit below), we describe this using tensor product with the identity matrix, e.g.: We can see Qiskit has performed the tensor product: X⊗I = [0 I I 0] = ⎡ ⎢ ⎢ ⎢⎣0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0⎤ ⎥ ⎥ ⎥⎦ X ⊗ I = [ 0 I I 0] = [ 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0]

How to create a circuit with multiple qubits?

Create a quantum circuit that produces the Bell state: 1 √2 (|01⟩+|10⟩) 1 2 ( | 01 ⟩ + | 10 ⟩) . Use the statevector simulator to verify your result. The circuit you created in question 1 transforms the state |00⟩ | 00 ⟩ to 1 √2 (|01⟩+|10⟩) 1 2 ( | 01 ⟩ + | 10 ⟩), calculate the unitary of this circuit using Qiskit’s simulator.

How many possible states does a qubit have?

We saw that a single bit has two possible states, and a qubit state has two complex amplitudes. Similarly, two bits have four possible states: 00 01 10 11 And to describe the state of two qubits requires four complex amplitudes.