Contents
- 1 Can you move the gates in quantum teleportation?
- 2 How are Alice and Bob involved in quantum teleportation?
- 3 What is the sum of four terms in quantum teleportation?
- 4 How can I check if my qubit has been teleported?
- 5 How is quantum error correction used in Qiskit?
- 6 How to test this result on a real quantum computer?
Can you move the gates in quantum teleportation?
While moving the gates allows us to demonstrate the “teleportation” circuit on real hardware, it should be noted that the benefit of the teleportation process (transferring quantum states via classical channels) is lost. And create our new circuit: As we see here, there are a few results in which we measured |1⟩ | 1 ⟩.
How are Alice and Bob involved in quantum teleportation?
Alice and Bob each possess one qubit of the entangled pair (denoted as A and B respectively), This creates a three qubit quantum system where Alice has the first two qubits and Bob the last one. Now according to the protocol Alice applies CNOT gate on her two qubits followed by Hadamard gate on the first qubit.
What is the sum of four terms in quantum teleportation?
The state, |ξ 2 〉, is a sum of four terms, each term consisting of the tensor product of the state of two qubits in Alice’s possession with the state of the qubit in Bob’s possession. If Alice measures her two qubits and finds them in the state |00〉, then Bob’s qubit must be in the state α 0 |0〉+α 1 |1〉, which is the original state, |ϕ〉.
How is a qubit transferred in a quantum state?
Quantum state teleportation is the quantum information protocol where a qubit is transferred between two parties using an initial shared entangled state, Bell measurement, classical communication and local rotation. Apparently, there is also something called quantum gate teleportation.
What is the state of a qubit in quantum teleportation?
The state |ψ⟩ | ψ ⟩ has been teleported from qubit 0 to qubit 2. You can run this cell a few times to make sure. You may notice that the qubits 0 & 1 change states, but qubit 2 is always in the state |ψ⟩ | ψ ⟩. Quantum teleportation is designed to send qubits between two parties.
How can I check if my qubit has been teleported?
We can use the aer simulator to verify our qubit has been teleported. We can see below, using the statevector obtained from the aer simulator, that the state of |q2⟩ | q 2 ⟩ is the same as the state |ψ⟩ | ψ ⟩ we created above, while the states of |q0⟩ | q 0 ⟩ and |q1⟩ | q 1 ⟩ have been collapsed to either |0⟩ | 0 ⟩ or |1⟩ | 1 ⟩.
How is quantum error correction used in Qiskit?
One is exactly what it is used for in Qiskit: as the first and simplest test of implementing the ideas behind quantum error correction. We will now implement these ideas explicitly using Qiskit. To see the effects of imperfect qubits, we simply can use the qubits of the prototype devices. We can also reproduce the effects in simulations.
How to test this result on a real quantum computer?
We first use Qiskit’s built-in aer simulator to test our quantum circuit, and then try it out on a real quantum computer. 3.1 How will we Test this Result on a Real Quantum Computer?