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Newest 'stabilizer-code' Questions - Quantum Computing Stack Exchange
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Learn more about TeamsQuestions tagged [stabilizer-code]
A stabilizer quantum error-correcting code appends ancilla qubits to qubits that we want to protect. A unitary encoding circuit rotates the global state into a subspace of a larger Hilbert space. This highly entangled, encoded state corrects for local noisy errors.
387 questions
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5
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1
answer
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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. ...
2
votes
1
answer
63
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how is measurement modelled in tableaux simulation
I'm reading through a stim overview paper and found a description of how a (single qubit) measurement is carried through a tableaux : Gidney paper,(page 9). I couldn't find another reference for this ...
1
vote
1
answer
84
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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 ...
2
votes
1
answer
70
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does the standard form of a stabilizer code minimize the number of CX/CZ gates needed to encode it?
Given a stabilizer code, there are several ways to transform it to an equivalent code (same n,k,d). The "standard form" is one option and it seems to have lower CX and CZ gate count needed ...
3
votes
2
answers
183
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QEC code family with encoding rate approaching to 1
For a $[[n, k]]$ QEC code, the encoding rate is defined to be the ratio between logical qubits and physical qubits
$$r=k/n.$$
Instead of QEC codes with constant encoding rate, I am now interested in ...
0
votes
1
answer
72
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stim : how does ordering/grouping of CNOT's affect circuit noise
I have a syndrome extraction circuit that uses $N$ CNOT's altogether. The CNOT connection is the standard way of having data qubits as control and ancilla qubits as targets. These can in
principle be ...
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 ...
3
votes
1
answer
120
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Equivalent errors in fault tolerant state preparation of Steane Code
In Minimizing resource overheads for fault-tolerant preparation of stabilizer states, the author presents a fault-tolerant state preparation circuit for the Steane code. On page 3, they state:
After ...
0
votes
1
answer
82
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Why does the logical error-rate decrease with higher physical error with PyMatching?
Currently, I am looking into the workings of PyMatching. I have already read the whole paper on PyMatching, as well as the newer version in the form of Sparse-Blossom.
To test my understanding of the ...
1
vote
0
answers
46
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How many independent stabilizers are in a hypergraph product code?
I am trying to understand why (3) of this paper holds.
Given a classical code with parameters $[n_i, k_i, d_i]$ and parity check matrix $H_i$, one can also define the dual code by looking at the ...
0
votes
1
answer
69
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Encoding circuit from Stabilizers and Logical operators stim
Given that I provide stim the stabilizer generators and the logical operator specifying the logical state that I want to encode (starting from the all 0 state), does something like
...
1
vote
1
answer
144
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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://...
3
votes
2
answers
200
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Are Transversal (Constant Depth) Cliffords possible for the XYZ^2 code?
Is something like a constant depth logical Hadamard or a logical Phase gate possible for the XYZ^2 code? Within the XX link stabilizer setup, it is very hard to see why the logical Y was chosen to be ...
3
votes
1
answer
85
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Why is there a specific implementation of the boundary stabilizers in the rotated surface code?
This is my first question on this website, so if something is wrong with my question or something else, please let me know!
I have just finished implementing the rotated surface code in the z basis in ...
0
votes
0
answers
22
views
Does maximum likelihood concentrate towards random guessing for high-weight errors in random codes?
This question is about how close maximum-likelihood decoding (MLD) is to random guessing for a random stabilizer code, conditioned on an error with weight $t \gg np$ and sufficiently small $k$, for ...
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