Questions tagged [entanglement-swapping]
the procedure of entangling particles that do not share a common past, i.e. without any direct interaction
15 questions
1
vote
0
answers
19
views
Why we do SWAP operations for applying a mode N function in Shor algorithms and How we do this swapping? [duplicate]
I am working on implementing shor algorithm for finding prime factors of N = 15. I am trying to understand a code of qiskit, but i am confused how and why the code editor is using swap codes to define ...
2
votes
1
answer
57
views
Inner product in terms of Hadamard and controlled SWAP gates
On p. 7 of this paper (https://arxiv.org/abs/2112.04958) it is claimed that:
"For any two states $|φ\rangle$ and $|ψ\rangle$ with the same dimensions, the
fidelity $F(|φ\rangle, |ψ\rangle)$ can ...
0
votes
1
answer
93
views
Distributing entanglement using entanglement swapping
I've read papers that consider the problem of sharing entanglement between A and C with an intermediate B. A and B share an entangled state and so do B and C. Then, entanglement swapping is used to ...
4
votes
1
answer
88
views
How Quickly Can We Entangle a Pair of Unentangled Qubits Without Using Pre-existing Entanglement?
The Set-Up
Let's say we want to entangle two qubits $\phi_a,\phi_b$ (at locations $a$ and $b$ respectively) that are spatially separated by distance $d$ (in natural units) at a given instance of time.
...
1
vote
1
answer
70
views
How to project on the $\phi^+$ basis when performing entanglement swapping?
I am working on entanglement swapping. Where there are three nodes, a source node, repeater node and a target node.
Qubits 1 and 2 are entangled and are distributed between source node and repeater ...
3
votes
1
answer
146
views
Swaps in a uniform superposition
Starting from a state $|00\rangle|01\rangle|10\rangle$ (from $0$ to $n$ without repetitions), I want to reach an state in which all possible combinations of swaps are in a uniform superposition. I ...
2
votes
0
answers
337
views
What it means to say that SWAP gate has maximum operator entanglement entropy?
In this (freely available) article, just below equation 14, it says
The SWAP operator has the maximum operator entanglement entropy...
The operator entanglement entropy, denoted by $E(U)$ for an ...
1
vote
1
answer
346
views
What would be the procedure if I wish to code entanglement swapping?
Most of the methods that I have seen in various papers all take single examples and then proceed to manually perform swapping by re-writing the states on a different basis and then performing a ...
1
vote
0
answers
54
views
Clarification of a theorem mentioned in a paper on RED
I am reading a paper "A study of Teleportation and Super Dense Coding capacity in Remote Entangled Distribution" (arXiv:1210.1312). In this paper Relations on two-qubit pure states are ...
0
votes
1
answer
631
views
Quick question about Two-qubit SWAP gate from the Exchange interaction
I am reading the following paper: Optimal two-qubit quantum circuits using exchange interactions.
I have a problem with the calculation of the unitary evolution operator $U$ (Maybe it is stupid):
I ...
1
vote
1
answer
98
views
Entanglement and teleportation transmission costs
Let say we have a product state $$|\phi^+\rangle_{12}|\phi^+\rangle_{34}$$ with particles (1,4) belong to $A$ and (2,3) belong to $B$. Where $A$ and $B$ are say at distance of $L$ from each other. ...
3
votes
1
answer
371
views
Problem about entanglement swapping
I have been learning about the concept of entanglement swapping and found an equation mentioned in the textbook, Mathematics Of Quantum Computing: An Introduction written by Wolfgang Scherer.
At ...
2
votes
1
answer
115
views
Can pairwise entanglement be converted into tripartite correlations?
Suppose Alice shares $m$ pairs of maximally entangled states with Bob and $n$ pairs of maximally entangled states with Charlie. It is clear that by measuring their states, Alice can generate ...
1
vote
2
answers
2k
views
Entanglement Swapping Circuit
I implemented 2 versions of the entanglement swapping circuit in IBM Q. One is using classical measurement to control X, Z gates. Another is just us C-NOT and Controlled-Z. They should be equivalent. ...
3
votes
2
answers
686
views
Problem involving entanglement swapping
I'm trying to solve a problem. I have my own approach to it, as the one in the textbook seems overly complicated. I tried using my own approach, but I'm not sure if what I found was a coincidence or ...