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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.
78 questions
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1
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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
90
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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
142
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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
769
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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
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80
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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
130
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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
280
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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
136
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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
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0
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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
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1
answer
167
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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
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0
answers
76
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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 $n$ ...
2
votes
1
answer
190
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Estimating topological errors of a CCZ factory
In the calculation of the CCZ-factory error budget, one must proceed from the bottom up, accounting for the contribution of each concatenation level (see the spreadsheet in arXiv:1812.01238 and the ...
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