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Quantum Computing

Questions tagged [surface-code]

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The surfaces codes are a family of quantum error correcting codes defined on a 2D lattice of qubits. Each code within this family has stabilizers that are defined equivalently in the bulk, but they differ in their boundary conditions.

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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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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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In the talks on the Google TQEC software as well as in the upcoming review paper it is mentioned that in order to avoid circuit-level distance reduction due to hook errors within regions of spatial 4-...
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I was trying to make a surface code in Stim with both X and Z stabilizers on one border, but I'm getting nondeterministic detectors, and I can't find a way to mitigate it.Using the same gate order ...
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Consider the above rotated surface code. If we assume the blue stabilizers are X-type (i.e. they detect Z-errors), then if the two qubits which are circled in red undergo Z-flips, the syndrome will ...
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I am currently trying to implement the logical CNOT gate via lattice surgery between two surface code patches with one ancilla patch in between. Following this diagram from Austin Fowler, Craig Gidney ...
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I have a question regarding my understanding of measurements of non-deterministic observables. As I understand it from the following post, measuring a non-deterministic observable is not fault ...
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I understand the X and Z basis measurements of the rotated surface code can be performed transversally (as they are CSS codes).Thus, I was curious as to why logical Y basis measurement cannot be ...
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I've been reading this review from Fowler et al. on quantum error correction via surface codes. I'm struggling to understand this initialization scheme for the qubit into the z-basis ground state....
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I am currently trying to implement the initialization in the Y-basis in Stim and use Gidney's Paper as a reference. I have already implemented the circuit itself (although not fault tolerant, as I ...
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I'm using Stim to simulate a consecutive logical circuit built upon the surface code, which consists of several rounds of a transversal CNOT gate followed by two syndrome extraction circuits and ...
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In Gidney's paper, the runtime of the full algorithm is estimated as follows:With operation durations in hand, we can plug parameter values into Table 3 and then add up the iterations times the ...
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Suppose I have a universal simulator and want to simulate the$d=5$ cultivation circuit (injection + cultivation). I want tocheck the fixes I need to make to the S-gate-proxy circuitprovided in the ...
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This is the Crumble link to a distance-3 surface code Y memory experiment with three memory rounds (between the inplace-Y-basis initialization and measurement), featuring a full circuit distance of 3. ...
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