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Newest 'surface-code' Questions - Quantum Computing Stack Exchange
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Learn more about TeamsQuestions tagged [surface-code]
The surfaces codes are a family of quantum error correcting codes defined on a 2D lattice of qubits. Each code within this family has stabilizers that are defined equivalently in the bulk, but they differ in their boundary conditions.
249 questions
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2
votes
0
answers
39
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Understanding statistical argument for logical error rate in surface code
In ref, the logical error (see Eq. 12) is written as
$$P_L = d \frac{d!}{(d_e-1)!d_e!} p_e^{d_e}$$
The probability $p_e^{d_e}$ is probability of $d_e$ errors. My question is why there's no $(1-p_e)^{d-...
5
votes
1
answer
106
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how are color codes related to hypergraph product codes
The relationship between color codes and surface codes came up here before in post1 and post2. A main reference is this Kubica paper. The "folding/unfolding" seems to be a key concept. ...
6
votes
1
answer
768
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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 ...
1
vote
1
answer
62
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How do I use CORRELATED_ERROR() of stim to implement crosstalk error?
I want to implement crosstalk error in my surface code after performing the CNOTs, to make it data-ancilla crosstalk.
Currently, the CNOTs are applied this way:
CX qc1 qt1 qc2 qt2 qc3 qt2 ... and so ...
0
votes
0
answers
59
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Is there any way to efficiently construct this circuit via lattice surgery?
Consider the following circuit performed on logical qubits 1, 2, 3, 4 (encoded as a rotated surface codes) via lattice surgery:
Currently I'm implementing the CNOTs directly via grow, split, merge, ...
1
vote
1
answer
90
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How to Correct an Error in Stim Manually?
TLDR: I'm aware of how to generate a Stim circuit and sample detection events though am unable to more than 'observe' without using automated tools to decode which is not what I am looking to use. I'd ...
1
vote
2
answers
175
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Is there any published work on Soft-Output (SO) decoders for color codes?
See here for what Soft-Output (SO) decoding is. In several research repositories, I find wrappers that add a “gap” or other confidence metric to colour-code decoders, for example the ...
4
votes
1
answer
223
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How do you rotate a rotated surface code?
Given a single logical qubit encoded in a rotated surface code with X boundaries horizontally aligned and Z boundaries vertically aligned, how do you rotate it such that now the X boundaries are ...
1
vote
1
answer
73
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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 ...
1
vote
0
answers
43
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Stabilizers for the XYZ^2 code
From looking at this paper: https://arxiv.org/pdf/2112.06036, I was wondering if there was a straightforward way to code up and explicitly find the stabilizer generators for any arbitrary code ...
2
votes
1
answer
134
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Why are the thresholds for the rotated surface code vs. lattice surgery different?
I am currently having trouble understanding the threshold graph for the CX-Gate implementation via lattice surgery. I have used my own package as well as the tqec package which creates ...
1
vote
1
answer
79
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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 ...
3
votes
1
answer
91
views
How to enumerate all low-weight undetectable logical errors from a stim circuit?
I have a stim.Circuit instance that is supposed to implement a distance 6 = 7 - 11 computation. It turns out that ...
2
votes
1
answer
92
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STIM: How to define observables in a CX-Gate with lattice surgery?
I am currently implementing lattice surgery with the help of stim. My current goal is to create a package to implement a complete CNOT procedure with the help of lattice surgery. I am (in theory) done,...
1
vote
1
answer
154
views
Why are there different Implementations of the CX Gate through Lattice-Surgery?
Currently, I am implementing a CX gate in STIM with the help of lattice surgery and I am a bit confused why there are multiple ways of implementing it.
In an earlier paper by Horsman in 2013 (https://...
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