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Newest 'error-correction' Questions - Quantum Computing Stack Exchange
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Learn more about TeamsQuestions tagged [error-correction]
Quantum error correction (QEC) is a set of techniques used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. Quantum error correction is theorized as essential to achieve fault tolerant quantum computing that can reduce the effects of noise on stored quantum information, faulty quantum gates, faulty quantum state preparation, and faulty measurements. (Wikipedia)
1,150 questions
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0
answers
2
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How to use Sinter to collect stats with postselection?
I’m performing logical error rate simulations in Stim with post-selection, and using sinter for multiprocessing to speed up sampling. According to the sinter API, we can pass a ...
3
votes
0
answers
48
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How to go about learning qLDPC codes?
you may assume I have strong background upto Stabilizer codes (including CSS codes, toric code, surface code etc.). My question is, to learn state of the art qLDPC code, e.g. PK codes and others, what ...
2
votes
0
answers
38
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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-...
0
votes
1
answer
52
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Reliability of distance returned by search_undetectable_logical_error when dont_explore_edges_increasing_symptom_degre is set to True
I'm using Stim's search_undetectable_logical_errors to compute the distance of quantum error correction circuits (specifically D7 and D9 Steane codes with flag ...
1
vote
0
answers
52
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How can I use STIM to find the shortest-distance logical error for the honeycomb code in an SD6 noise model? What am I doing wrong?
I was reading this paper: "Benchmarking the Planar Honeycomb Code" (arXiv:2202.11845), which gives an example of a vertical logical error of weight half the height of the code. So if I ...
3
votes
1
answer
115
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Distance of superdense color code circuits
In New circuits and an open source decoder for the color
code a superdense color code circuit is introduced.
I'm assuming this circuit doesn't have distance equal to the side length of the color code ...
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. ...
3
votes
1
answer
87
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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
110
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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 ...
-2
votes
1
answer
143
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What are the biggest obstacles to building quantum computers?
If I understand correctly, nobody has ever successfully run Shor's algorithm for factoring numbers on any number larger than 21.
There is also no peer-reviewed experiment on running Shor's algorithm ...
0
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1
answer
43
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How to fix AssertionError in Stim Sinter.collect?
I am running Sinter to find the logical error rate by running my .stim files. But I keep getting this error.
I looked into another question posted in this platform regarding ...
1
vote
1
answer
61
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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 ...
3
votes
2
answers
104
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Logical coset probabilities
Suppose we have an $n$-qubit stabilizer code with the logical state $\rho_L$, which goes through a quantum channel $\mathcal{E}(\rho_L)$. Here, I assume that the quantum channel is arbitrary, for ...
3
votes
1
answer
169
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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 ...
0
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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, ...
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