New answers tagged trotterization
4
votes
Accepted
Jordan-Wigner Transform and Trotterization: which goes first?
Short answer:
When you do the Jordan-Wigner transformation, you essentially insert a linear combination of tensor products of Pauli matrices for each fermionic creation and annihilation operator. As ...
- 374
1
vote
Investigating the scaling of the error of a Trotter-Suzuki-approximation
For this particular calculation, you can keep your results exact for quite a long time. To see this, start with the exact thing
$$
H_0=e^{i\pi/2(X+Z)/\sqrt{2}}=i\frac{X+Z}{\sqrt{2}}.
$$
Now for the ...
- 47.1k
2
votes
Investigating the scaling of the error of a Trotter-Suzuki-approximation
You can use the Baker–Campbell–Hausdorff formula that states that for $e^Ae^B = e^C$ (assuming $e^A,e^B \approx I$) $C$ is given by:
$$C = A + B + \frac12[A, B] + \frac1{12}[A, [A, B]] + \frac1{12}[B, ...
- 261
Top 50 recent answers are included