9 votes
Accepted

How does magic state distillation overhead scale compare to quantum advantages?

In the context of scalable quantum computing, the polylog scaling needed for magic state distillation should not be a problem. Indeed, it is not the only polylog scaling we need to contend with. ...
James Wootton's user avatar
2 votes
Accepted

How to inject a $Y^{\frac{1}{4}}$ gate into a circuit

You can do $Y^{1/4}$ the same way you do $Z^{1/4}$, by consuming a $|T\rangle$ state.
Craig Gidney's user avatar
  • 35.3k
2 votes

Postponing post-processing through state injection protocols

One of the nice things about using gate teleportation to implement non-Clifford gates is that the measurement that occurs during the teleportation helps propagate Pauli products through the ...
Craig Gidney's user avatar
  • 35.3k
1 vote

Is this kind of $T$ injection correct?

This is equivalent to the usual circuit by the deferred measurement principle: You can also see why it works by decomposing the CS gate into CNOT+T:
Craig Gidney's user avatar
  • 35.3k
1 vote

Is this kind of $T$ injection correct?

Let us denote $|\varphi\rangle$ as: $$|\varphi\rangle=a|0\rangle+b|1\rangle$$ Thus, the system starts in the state: $$(a|0\rangle+b|1\rangle)\otimes\frac{1}{\sqrt{2}}(|0\rangle+\mathrm{e}^{\mathrm{i}\...
Tristan Nemoz's user avatar

Only top scored, non community-wiki answers of a minimum length are eligible