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I am inspired by a recent Quanta magazine article.
Suppose we are given a (univariate) polynomial $P$ of degree $d$, and we wish to determine if $P$ is identically $0$. A standard way to do this is to use a classical PRG to randomly sample $n$ bits, drawing a number $r$ uniformly from $[0,S]$; ...
Suppose that there is an ensemble with 60% of the states prepared in
$$|a\rangle=\sqrt{\frac{2}{5}}|+\rangle-\sqrt{\frac{3}{5}}|-\rangle$$
and 40% in:
$$|a\rangle=\sqrt{\frac{5}{8}}|+\rangle-\sqrt{\frac{3}{8}}|-\rangle$$
I've considered two ways to calculate this. For the first, one could rep...
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I am trying to use Qiskit to write a code that uses QFT to add 2 numbers. I am referring to this paper:
https://iopscience.iop.org/article/10.1088/1742-6596/735/1/012083/pdf
I have a few questions:
1) Is the R rotation gate in this paper equivalent to the Controlled-U1 gate in Qiskit?
2) Why do...
$$
\begin{matrix}
exp(i\theta) & 0\\
0 & exp(i\theta)
\end{matrix}
$$
Suppose I have a quantum gate $U$ and it's a controlled gate. In particular, I have a $2\times 2$ matrix formulation of the gate's action on 2 adjacent qubits.
How can I make this work on an $n$-bit system?
To explain precisely what I mean, if I wanted to implement a controlled $U$ gate on a 3 ...
I'm hoping to use this stackexchange to solve a gate decomposition problem, but I am stumped, so hoping for help.
These definitions come from the Xanadu Strawberry Fields whitepaper on Table VI and VII.
I have a two-mode squeezed gate defined by $ S_{2}(z) = \exp \left(z^{*} \hat{a}_{1} \hat{a...0
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