Linked Questions

3 votes
0 answers
58 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
  • 39
9 votes
3 answers
497 views

Generalization for $n$ quantum teleportations

In Breaking Down the Quantum Swap, it is stated: Thanks to the CNOT, we can implement a xor-swap on a quantum computer. All we need to do is chain three CNOTs back and forth. In a comment to a ...
user820789's user avatar
  • 3,322
4 votes
3 answers
540 views

Is there some nice physical intuition to get for quantum teleportation

I know the quantum teleportation protocol: using an EPR pair you can "teleport" the data of one qubit on one of the qubit composing the EPR pair by doing appropriate measurement in the Bell ...
Marco Fellous-Asiani's user avatar
3 votes
1 answer
1k views

Generalizing the circuit for quantum teleportation for $n$-qubit states?

So the usual quantum circuit I know for quantum teleportation allows for the teleportation of the state on a single qubit, in the following way: How easy is to generalize this algorithm to allow for ...
Mauricio's user avatar
  • 2,356
5 votes
2 answers
314 views

Generalising the standard quantum teleportation protocol: what are the possible unitaries?

Consider the standard quantum teleportation scheme. Let the first register hold the state $\newcommand{\ket}[1]{|#1\rangle}\ket\psi$ to be teleported, and the second register be the one shared between ...
glS's user avatar
  • 25.9k
4 votes
2 answers
441 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
284 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
  • 25.9k
5 votes
1 answer
165 views

What's the state-of-the-art to calculate $|Ab\rangle$, given a matrix $|A\rangle$ and a vector $|b\rangle$ in QRAM encoding

Assuming that we have a matrix $A\in \mathbb{R}^{m\times n}$ stored in a quantum superposition, i.e. $$|A\rangle= \frac{1}{\|A\|_F}\sum_{i,j=0}^{n-1}{a_{ij}}|i,j\rangle$$ and a vector $b\in \mathbb{R}^...
Thomas's user avatar
  • 279
3 votes
0 answers
326 views

Clock matrix vs matrix clock

In the process of research leading up to my previous question, I found out about matrix, vector & logical clocks. The citation in the aforementioned question mentions clock and shift matrices. ...
user820789's user avatar
  • 3,322
7 votes
0 answers
308 views

What is the motivation for Weyl matrices in quantum information theory?

Quantum Entanglement and Geometry — Andreas Gabriel (2010) — Sec: 2.3.4 ~p. 11 Another basis for $d\times d$-dimensional matrices that has proven to be quite useful in quantum information theory is ...
Sanchayan Dutta's user avatar
4 votes
0 answers
168 views

What does teleportation have to do w/ XOR linked lists? [closed]

I am trying to wrap my head around the correlation between repeating teleportation & XOR linked lists. I understand that: "the quantum equivalent of the one time pad (i.e. XORing a message with ...
user820789's user avatar
  • 3,322
2 votes
0 answers
118 views

Can we teleport an arbitrary two-qubit state? [duplicate]

Can we teleport a quantum register $a\left|00\right> + b\left|01\right> + c\left|10\right> + d\left|11\right>$ ? How can I visualize the output for this? I was looking at the https://...
j123's user avatar
  • 51