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Newest 'magic-states' Questions - Quantum Computing Stack Exchange
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Learn more about TeamsQuestions tagged [magic-states]
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.
79 questions
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1
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2
answers
130
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CCZ magic state teleportation
Is it correct that this circuit teleports the CCZ magic state?
If abc is qubits trying to take the CCZ gate as data qubit, is it correct that the CCZ gate is taken in abc in the last result if I ...
0
votes
1
answer
103
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Magic state cultivation: order of logical error and a T state being "too good"
In Craig Gidney, Noah Shutty and Cody Jones' Magic State Cultivation paper they say the 'escape' stage is necessary because the $|T\rangle$ state they are cultivating becomes "too good for the ...
3
votes
1
answer
93
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Trouble understanding injection and cultivation stim circuits at low distance (d1=3)
I am currently having trouble understanding the stim circuits of inject+cultivate from this paper written by Craig Gidney, Noah Shutty, and Cody Jones. It most likely comes from the fact I am ...
2
votes
2
answers
145
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Motivation for physical magic state distillation using 15 qubit RM code over logical distillation
I am reading Unfolded distillation: very low-cost magic state preparation for biased-noise qubits, and a paragraph on page 5, under main ideas, has me confused. They state
Here, we propose an ...
6
votes
1
answer
775
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If T gates are now as expensive as CNOTs, what should be optimized?
Is there a simple circuit metric that describes the overhead of implementing a circuit with lattice surgery? If there is no such metric, does this imply that it no longer makes sense to optimize a ...
3
votes
1
answer
171
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Classical feedback during the growth stage in magic state cultivation
This is similar and more of a continuation of an earlier question.
Section 2.6 of the paper states that classical feedback will be needed for "fixing" the non-deterministic stabilizers ...
1
vote
1
answer
77
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Why does the distance-15 grafted matchable code in Magic State Cultivation idle like only a distance-11 surface code?
In the MSC paper the authors prepare a high-fidelity magic state by growing a small color-code patch and then grafting it onto a larger code.
Figure 16 plots the logical error-per-round while the ...
2
votes
1
answer
117
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How was this optimized encoding circuit for the 5-qubit perfect code discovered?
Where does this optimized 5-qubit perfect code encoding circuit below from Craig Gidney in his tweet https://x.com/craiggidney/status/1714918545375846402 come from?
I understand the original encoding ...
1
vote
1
answer
81
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How does “Magic-state cultivation” (Gidney et al.) refine the ideas from "Fault-Tolerant Postselection" (Bombín et al.)?
The MSC paper cites Fault-Tolerant Postselection paper in its abstract but, as far as I can tell, never refers to it again in the body of the text.
After reading the two papers back-to-back I could ...
5
votes
2
answers
132
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Is there any way to mitigate speed limitations of logic gates in neutral atom platforms?
I'm currently studying the neutral-atom quantum platform. One notable drawback I've learned is that its logic gate operations are about x1000 slower than superconducting systems. This issue would ...
3
votes
1
answer
282
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Is it possible to perform magic state distillation without T gates?
One of the most common magic state distillation circuits is the 15 qubit Reed-Muller circuit.
However, the circuit uses $T^{\dagger}$ gates which need to be implemented via a gadget which takes in ...
6
votes
1
answer
139
views
Understanding the growth step of the magic state cultivation protocol
I'm having trouble following the description of the growth phase in the magic state cultivation protocol from Gidney2024. I would really appreciate a more detailed explanation of what's happening in ...
0
votes
0
answers
18
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What is the annealed average and quenched average of random quantum circuits
I wonder how to distinguish between the annealed and quenched averages in random quantum circuits. Is the former a characterization of the average state, and the latter the average characterization ...
5
votes
1
answer
168
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What is the relation between magic states, contextuality and quantum advantage?
In several papers, including Wikipedia's quantum contextuality, contextuality is identified with quantum speed-up. However, due to Gottesmann-Knill theorem, for quantum speed-up we also need magic ...
2
votes
0
answers
76
views
Magic state distillation via Braiding
In a classic paper from 2005 Bravyi has introduced a model of quantum computation based on topological "Ising anyons". Formally, this model amounts to performing quantum computation on $n$ ...
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