For questions regarding anything related to magic states as resources for quantum computation and information. Magic (non-stabilizer) states are crucial in the state-injection model, and generate, via T-gadgets, the T-gates which are non-Clifford and make the set Clifford+T a universal gate set. On-topic includes manipulation, measurement, geometric understanding, fault-tolerance, resource, quantification, counting, simulation of these states.
Questions tagged [magic-states]
31 questions
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votes
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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 | =…
Marco Fellous-Asiani
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Why do magic state consumption circuits work?
The following circuits from Litinski's Magic State Distillation paper are two ways to consume magic states. Why do these circuits work? I've heard there's a relationship with the Choi-Jamiolkowski isomorphism but can't understand the relationship.
C. Kang
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How can sub-logarithmic magic state distillation be possible?
In "Distillation with sublogarithmic overhead", Hastings and Haah present a magic state distillation factory with a yield parameter $\gamma \approx 0.7$. Meaning that the number of initial fixed-error-rate magic states they need, in order to reach a…
Craig Gidney
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Intuition behind observable rotations during magic state injection
Cleaner magic states with hook injection writes that the ZZ rotation performed amounts to a rotation of the logical $X$ observable. This is similar to High-Fidelity Magic-State Preparation with a Biased-Noise Architecture which they cite which also…
C. Kang
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