Questions tagged [topological-quantum-computing]
Topological quantum computing is a theoretical quantum computing model that employs two-dimensional quasiparticles called anyons, whose world lines pass around one another to form braids in a three-dimensional spacetime (i.e., one temporal plus two spatial dimensions).
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How do Union-Find Decoders deal with Measurement errors through multiple measurement rounds?
I've read a few papers regarding to Surface Code and its decoding algorithms. I've learned that a Union-Find decoder need up to $d$ measurement rounds to deal with measurement errors.
These ...
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Toric Code with stim?
Is there any way to encode toric code with stim with desired error such as erasure error and z error? I have seen their documentation on surface code but that is already encoded. Is there any good ...
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How to get the surviving stabilisers of a fusion network
In Fig. 5 of PsiQuantum's Fusion-based quantum computation paper, it's clear to me how to get R, F, and C.
How do I get S? Just by looking at (a), I could obviously tell you that we end up with <...
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How can I obtain the rotated surface code from the original unrotated one?
I am trying to understand the equivalence between the original planar surface code and the rotated version.
Looking at Tomita and Svore's paper (2014), they say
"The number of qubits [from ...
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Are there logical operations unique to topological quantum computing?
Are there any algorithms or logical operations which are only unique to topological quantum computing architecture ?
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MWPM / Union Find Implementations for 3D Toric Code
I am currently looking into 3D surface codes and was wondering if there are open-source implementations for decoders like MWPM or the Union Find decoder. I found quite a lot of different GitHub repos ...
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How to account for a partial derivative term in an Operator, in Qiskit?
The crystal momentum p1 = h bar * k and this is defined in the reciprocal momentum, I am guessing this p1 is not a real momentum since the reciprocal space is an imaginary space which we use for ...
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The planar surface code vs the toric code
Where can I find a numerical or analytical comparison of the effect of open and closed boundaries on surface code error correction power, such as the logical error rate at the threshold, logical error ...
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Prospects of topological/anyon approach to QC
Given the recent articles/preprints by Google and Quantinuum claiming implementation of braiding of non-Abelian anyons on a quantum processor, what is the likely impact of these findings, and ...
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Is the honeycomb code a subsystem code?
The paper https://arxiv.org/abs/2110.09545.pdf claims that the honeycomb code falls outside the definition of a subsystem code.
But here: https://errorcorrectionzoo.org/list/subsystem, here: https://...
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Surface code expansion in the lattice surgery context
In this paper: https://iopscience.iop.org/article/10.1088/1367-2630/14/12/123011, the authors describes how to inject a magic state into a small planar surface code, and then how to expand the code (...
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How are the twist defects and domain walls on topological color code of pratical use?
I found an article that talks about the twist and domain walls on topological color codes, but I fail to understand how they are of practical use? Similarly, we can change the type of path and stuff ...
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Quantum dimension of an anyon
In the book Introduction to Topological Quantum Computation Jiannis K. Pachos page 60 Equ.(4.16) $\text{dim}(M_{(n)}) \propto d_a^n$, two lines after (4.16) said that,
The dimension of $M_{(n)}$ is ...
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Need help to understand topological color codes
I am doing work on topological color codes, but after searching a lot of papers I could not find one that explained some points. Why do we need the colors for? Why do we have different types of color ...
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Is there a way to perform a defect-free logical CNOT on the toric code?
I was curious to whether the two logical qubits on the toric code can be entangled through, for instance, a logical CNOT operation. However, I cannot find any information on this, only how you can do ...
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