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How does the propogation of bi-product operators through the CNOT gate in Gate Teleportation give this circuit?

I am looking at Quantum Teleportation is a Universal Computational Primitive, and I can't follow how they derive the circuit for Fig 2. I understand that the CNOT gate between the second qubit of the ...
GaussStrife's user avatar
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2 votes
1 answer
248 views

Single bit teleportation for Hadamard gate

The circuit in Figure 13.7 of Gottesman's book https://www.cs.umd.edu/class/spring2024/cmsc858G/QECCbook-2024-ch1-15.pdf shows how to take the magic state $ T | + \rangle $ and use single bit gate ...
Ian Gershon Teixeira's user avatar
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1 answer
54 views

CNOT and quantum entanglement

I have the following problem: "Consider two parties: Alice in possession of the one-qubit state |ψ⟩ = α|0⟩ + β|1⟩, and Bob who starts with a qubit in the state |0⟩ Show that Alice can teleport ...
Samuel Jaramillo's user avatar
2 votes
1 answer
122 views

Gate teleportation between different QEC codes

I've heard people mention that one can teleport a gate from one QEC code into another, but I am trying to better understand operationally what exactly this entails, and whether there are any ...
shixian105's user avatar
2 votes
1 answer
109 views

What is the time overhead for fault-tolerant gate teleportation?

The gate teleportation protocol (https://arxiv.org/abs/quant-ph/9908010) has a step where it utilizes cat state measurement of transversal operators. Since cat states can not detect phase errors it is ...
Seyed's user avatar
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2 votes
0 answers
29 views

What is a realistic model for simulating physical tampering of a channel? (ex: nearby vibrations)

Somewhat related to this question. Imagine a fully functioning quantum network, where qubits are transported via fiber optic cable. If vibrations were to physically tamper with a channel in such a ...
Quantum Guy 123's user avatar
4 votes
2 answers
591 views

Why does gate teleportation allow to implement nonlocal operations via local ones?

In (Gottesman and Chuang 1999), when discussing quantum gate teleportation, they mention how it can be used to implement nonlocal gates such as a CNOT, by only using (classically controlled) local ...
glS's user avatar
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5 votes
1 answer
335 views

How does quantum gate teleportation differ from state teleportation?

As described e.g. in this post, quantum gate teleportation can be framed as a variation of quantum state teleportation where a gate is applied beforehand on the receiver, and this results in the final ...
glS's user avatar
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2 votes
1 answer
85 views

Decompose bell measurement gate into combination of controlled-not gates and one-qubit gates

OPENQASM2.0 has only one two-qubit gate: controlled not. For a teleportation experiment, I need to perform a measurement in the Bell basis. That is, I need a two-qubit gate with matrix representation $...
Anna Naden's user avatar
2 votes
2 answers
67 views

Strange behaviour of IdentityGate IGate in IBM Q Composer

Can anyone explain the strange impact of the IGate in the enclosed quantum teleportation setup in view of the computational basis states? Any help is welcome!
QuantumMan's user avatar
4 votes
2 answers
257 views

What is the name of this "ancilla based" process to implement gates

I just want to know if there is a specific name for the implementation of a gate on the top qubit with the help of the bottom qubit, represented on this image: It looks like gate teleportation but it ...
Marco Fellous-Asiani's user avatar
4 votes
1 answer
334 views

Applying $R^{'\dagger}_{xz}$ in gate teleportation

In figure 4 of the paper Quantum Teleportation is a Universal Computational Primitive, the authors show a circuit for applying a unitary $U$ fault-tolerantly via teleportation. I'll paste the figure ...
epelaez's user avatar
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1 vote
1 answer
216 views

In quantum teleportation, Is it possible for bob to just see the state vector after receiving it from Alice without measuring it?

I was reading about quantum teleportation using Qiskit. Alice wants to teleport some quantum state to Bob. My question is Is it possible for bob just to see the state vector after receiving it from ...
User1086's user avatar
3 votes
0 answers
59 views

Can someone elaborate how to use Qutrits to do teleportation? And the unitary operation Bob needs to do? [duplicate]

I can understand doing teleportation by using qubits, however, I am stuck there when it comes to qutrits and the operation Bob needs to perform. Suppose Alice and Bob are sharing the most entangled ...
NewtoQC's user avatar
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3 votes
1 answer
186 views

In quantum teleportation, does Bob's qubit depend on Alice's $\alpha$ and $\beta$ coefficients?

Does applying an operation to one half of an entangled pair affect the other? As in the case of quantum teleportation when Alice applies CNOT to her half of the pair and the qubit she wants to send ($\...
Aarsh Chaube RA1911027010105's user avatar
3 votes
1 answer
401 views

What can gate teleportation be used for in practice?

I was quite fascinated when I learned about gate teleportation, but I am struggling with understanding what it may be used for. Sure, one can use ancillae bits to teleport gates into various parts of ...
Bertrand Einstein IV's user avatar
2 votes
2 answers
958 views

In Qiskit quantum teleportation protocol, why they use CZ and CX gate at the end?

I understand the simple quantum teleportation protocol and why it uses X and Z gate at the end of the circuit. I was researching about the Qiskit and I came across this video https://www.youtube....
Quintis's user avatar
  • 55
2 votes
1 answer
104 views

Is it possible to write a Q# teleportation code which returns a qubit?

Is it possible to write a Q# teleportation code which returns a qubit? Thanks.
Coder's user avatar
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3 votes
0 answers
92 views

Understanding shared Bell states from quantum entanglement

I'm trying to understand an entanglement swapping derivation provided in this PDF (pages 2 - 3) I have several things about this process that I don't understand, and I was hoping someone could ...
Yuerno's user avatar
  • 319
2 votes
1 answer
210 views

Explain matrix multiplication math operations of a Hadamard gate after a phase gate

Starting with $|0\rangle$, I would like to understand how the probability values of 85.4% $|0\rangle$ and 14.6% $|1\rangle$ are derived from the payload circuit below? After applying the 45 degree ...
Jose's user avatar
  • 99
7 votes
1 answer
189 views

How to understand a phase operation between 2 Hadamard gates?

I would like to understand this image, of a "payload preparation" gate. A single H gate will create a superposition, while the phase will rotate 45 degrees. What does the second H gate do in this ...
neutrino's user avatar
  • 361
4 votes
1 answer
419 views

How to complete this teleportation circuit? How to create a copy of $|\psi〉$?

This is a quantum circuit. M represents the act of making a measurement on the first two qubits. The circuit is supposed to transfer the state $|\psi\rangle = a |0\rangle + b |1\rangle$ ($a, b \in \...
user avatar
2 votes
1 answer
1k views

Building a matrix corresponding to the teleportation circuit

I'm trying to build the matrix that corresponds to this quantum teleportation circuit, but it never works when I test it in the quirk simulator, I tried finding the matrix corresponding to every part ...
Nillmer's user avatar
  • 775
6 votes
1 answer
684 views

Problem about qutrit teleportation protocol

I'm working through Scott Aaronson's Quantum Information Science problem sets, and I'm having trouble with a specific problem in ps5 (PDF). Specifically the following problem: A “qutrit” has the form ...
Joe's user avatar
  • 257
3 votes
1 answer
470 views

How is the joint state of these qubits derived?

Can someone show to me the steps to derive the joint state at the bottom of this image, please? I tried to follow his explanation but I didn't get the same results… This is taken from the lecture ...
E.s's user avatar
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41 votes
2 answers
8k views

What is quantum gate teleportation?

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 ...
Kiro's user avatar
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