I'm trying to build something called a Bloch Sphere, which is the 3-D representation of single quantum bit. Currently, I'm creating a function that develops animation along the x-axis and here is the code that I've written.
def x_animation(self):
#Y and Z are inputs from users
Y1 = self...
I installed the quantum development kit from the microsoft site:
https://www.microsoft.com/en-us/quantum/development-kit
But when I try to open one of the projects or create a Q# I get the message:
There was an error activating the remote language server, Q# Language Extension. For more det...
I'm trying to create animation about how the value of a quantum bit would be changed by computation called X-gate, in form of an arrow.
Here are the codes that I wrote.
#Import libraries
from mpl_toolkits.mplot3d import Axes3D
import matplotlib.pyplot as plt
from matplotlib import animation
imp...
I'm facing a non-binary classification problem of this form:
Input: 2-dimensional vector (x,y) with -1 < x < 1, -1 < y < 1.
Output: 4-dimensional vector (p_0, p_1, p_2, p_3), where 0 < p_i < 1, and sum(p_i) <= 1 (of course, i = 0,...,3).
The program I use to classify them wants to simulate a ...
In quantum computing, we can use finite types of generator to fill $U(N)$ space of all unitary operations, where $N$ is the number of qubits. e.g. $S=\{X, Z, CNOT\}$, where $X$ and $Z$ are single qubit Pauli operators and $CNOT$ is a two qubit operator. With these three generators, we are able to...
Context/background:
I'm approaching this topic from the perspective of anyonic systems.
In the study of anyons, one works with fusion categories. Of course, for physicality, we demand that
i) The category is unitary (all $F$ and $R$ symbols are unitary) i.e. a UTC.
ii) The category is modula...
I am interested in a quantum algorithm that has the following characteristics:
output = 2n bits OR 2 sets of n bits (e.g. 2 x 3 bits)
the number of 1-bits in the first set of n-bits must be equal to the number of 1-bits in the second set. E.g. correct output = 0,0,0, 0,0,0 (both 3-bit set...
Quantum computing is a very active and rapidly expanding field of research. Many companies and research institutes are spending a lot on this futuristic and potentially game-changing technology. Some even built toy models for a quantum computer in the lab. For instance, see IBM's 50-qubit quantum...
I'm looking for an efficient implementation of the Clifford group $\mathcal{C}_n$
of $n$ qubits.
The Clifford group $\mathcal{C}_n$ has stucture $(2_+^{1+2n} \circ C_8).Sp(2,n)$,
where $2_+^{1+2n}$ denotes an extraspecial 2 group of $+$ type, $C_8$ the
cyclic group of order 8, and $Sp(2n,2)$ a ...
I'm reading about the complexity classes related to quantum computation, currently I'm studying QMA class. A language is in QMA(c,s) if there exists a polynomial time verifier and polynomial $p(n)$ such that
if $x\in L \implies$ there exists quantum state $\psi$ such that the probability V accep...
QMA vs BQP is regarded as the quantum version of the P vs NP problem. If one wanted to explore if they are equal or not, how would one go about trying to prove it?
It seems that this article (https://arxiv.org/pdf/1312.4456.pdf) proposes that laws of physics are uncomputable (i.e., they could not be reproduced on a computer), but I'm not sure about it.
In some part of the article it says:
If
we expand the set of computational devices that we use to d...