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Quantum Computing

Questions tagged [error-correction]

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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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A leading approach to circumventing the Eastin-Knill theorem involves using stabilizer codes which support a transversal implementation of the full Clifford group, and obtaining universal gateset via ...
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The role of adding observables is not clear to me. Here are some points of confusion :(1)From the circuit I generate a detector error model using dem from which I generate twomatrices (pcm and lcm) ...
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Based on the paper “Sparse Blossom: Correcting a Million Errors per Core Second with Minimum-Weight Matching,” my understanding is that the MWPM decoder performs minimum-weight matching between the ...
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I only have a rough idea that this is a back propagations of the pauli flow. But some details really confuse me.What's the difference between the filled and hollow circles. For example, tick 96 we a ...
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In Fowler's paper, "Surface codes: Towards practical large-scale quantum computation" (link), a rudimentary probabilistic model for logical errors is described. My only issue with this is ...
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What I want to realize in Stim is:Given a circuit, errors are sampled. Then, at a certain place of a circuit (e.g., qubit 6 after a certain CNOT gate), I want to know the errors there if we propagate ...
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I'm trying to understand how the probabilities in a stim DEM are calculated.I tried three simple cases; I understand the first, but can't seem to go beyond that :case 1: I understand the ...
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I am currently trying to implement the Y-Flows for the Lattice Surgery CX and having trouble understanding what MPP measurements I need for what logical flows and how I might realize them....
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In the surface code, each logical qubit is typically encoded in a separate patch of physical qubits. The code can correct up to ⌊(d − 1)/2⌋ errors on a single logical qubit patch, where d is the code ...
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Implement the Quantum Phase Estimation (QPE) algorithm using the unitary operator S and the eigenstate∣1⟩ as the target qubit. Use 3 counting qubits and 1 target qubit.Assumptions / notation:Assume ...
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I'm using qiskit to study some aspects of a simple error correcting (stabilizer) code. I have a code which works for particular simple examples, but I am struggling to generalize the preparation of ...
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Why do we only need to account for Pauli X and Z errors for full QEC?The basis of quantum error correction is that we only need to correct for X and Z errors. We can choose Paulis as a basis set for ...
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From what I understand, errors are simulated instim using Pauli frames representing Pauli errors that propagate through the circuit (without signs). That way, we ...
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Is there a way to code-switch from non-additive codes to stabilizer codes, such as surface codes?If so, is it always possible or is it only possible in certain cases?
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In this paper, the authors provide a method for constructing qLDPC CSS-T codes. They provide example generator matrices for the binary linear codes $C_1$ and $C_2$ such that $Q(C_1, C_2)$ is a CSS-T ...

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