Questions tagged [magic-states]

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4
votes
1answer
50 views

Given a $|W_8\rangle$, perform a CCCZ using stabilizer operations

I know it's possible to perform a CCZ operation using only stabilizer operations (Cliffords + Pauli measurements + classical feedback) by consuming a $|CCZ\rangle$ state, and that a $|W_4\rangle$ ...
4
votes
1answer
96 views
+150

Magic state distillation: why is it harder to prepare the encoded $|A_{\pi/4}\rangle$ than $|0 \rangle$

My question is the following Let's assume I am using Steane concatenated code to do error correction. This code admits transversal Clifford operations but not the $T$-gate. In order to implement this ...
1
vote
1answer
43 views

Pros/cons of the different schemes to have complete fault-tolerant gatesets

I am interested to have references and comment about pro/cons of the various methods that are used to implement complete gateset in a fault tolerant manner. Usually the Clifford operations have a ...
4
votes
1answer
69 views

Definition of magic $T$ and $H$ states: are there different definitions for them?

I am a bit confused by the definition of magic $T$ and $H$ states and I would like to check if their name is actually not uniformously spread in the litterature (or if I am not understanding something)...
5
votes
2answers
95 views

Why are there eight $T$ magic state and twelve $H$ magic states?

I am learning magic state distillation. We can define the following two states: $$ |T\rangle \langle T | = \frac{1}{2}(I+\frac{1}{\sqrt{3}}(\sigma_x+\sigma_y+\sigma_z))$$ $$ |H\rangle \langle H | = \...
4
votes
1answer
69 views

Good references to learn magic state distillation for fault tolerance

I need to learn magic state distillation procedure and their application to fault-tolerance. One of the original paper on this subject is the following: https://arxiv.org/pdf/quant-ph/0403025.pdf I am ...