Questions 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)
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Using Stim to simulate multiple rounds of logical operations
My goal is using Stim to simulate a fault-tolerant logical circuit, which have multiple rounds of logical operation -> syndrome extraction -> decoder. During my trials, I find that Stim cannot ...
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How should I think about Single Shot decoding?
I'm trying to understand what people mean when they talk about single-shot decodable codes. My interest started after reading this paper about radial codes.
As far as I can tell, people mean one of 3 ...
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Should we include idling noise after the final gate?
I am benchmarking a logical state preparation circuit. Idling noise will be included if a qubit is waiting, i.e., no gate is applied at a certain time step. I understand idling noise should be ...
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How is detector error model generated in Stim
I have read the Stim documentation on DEM, as well as Craig’s excellent answers [1], [2] that further explain what a DEM is.
However, I haven’t been able to find materials describing how DEMs are ...
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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 ...
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How do I verify a syndrome extraction circuit for a given stabilizer code?
I'm given a stabilizer code defined by a set of generator $\{S_i\}$ and logical operators $\{L_j\}$. I have a syndrome extraction circuit composed of Clifford gates and local measurements. The circuit ...
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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 ...
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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 ...
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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-...
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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 ...
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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 ...
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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 ...
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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. ...
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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 ...
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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 ...
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