New answers tagged

1

Suppose you have a chain of length $n$. Then the smallest amplitude in that chain is no larger than $2^{-n}$. But this implies the operations you are applying have a maximum error term $\epsilon$ that is smaller than that, since otherwise they would overwhelm that amplitude. And approximating arbitrary rotations to within $\epsilon$ requires $\Omega(\lg(1/\...


2

You can use stim for this, although you do have to write the stabilizer projection procedure for yourself. Write some methods to project a system into the +1 eigenstate of several stabilizers: from typing import List import stim def find_compatible_tableau(stabilizers: List[stim.PauliString]) -> stim.Tableau: num_qubits = max(len(e) for e in ...


8

Let $\mathcal{G}_n$ denote the Pauli group on $n$ qubits. An $n$-qubit state $|\psi\rangle$ is called a stabilizer state if there exists a subgroup $S \subset \mathcal{G}_n$ such that $|S|=2^n$ and $A|\psi\rangle = |\psi\rangle$ for every $A\in S$. For example, $(|00\rangle+|11\rangle)/\sqrt2$ is a stabilizer state, because it is a $+1$ eigenstate of the ...


Top 50 recent answers are included