Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression | Paper Citation Record

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This paper cites We briefly relate PROSE encoding to two closely related works.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression We briefly relate PROSE encoding to two closely related works

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This paper cites Here, ˆ¯XL denotes a representative of the logical X operator [ 37].

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression Here, ˆ¯XL denotes a representative of the logical X operator [ 37]

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This paper cites For weak noise, the comparison simplifies by approximating ΓLT(R, ⃗θ) as in Eq.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression For weak noise, the comparison simplifies by approximating ΓLT(R, ⃗θ) as in Eq

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This paper cites (48) provides a convenient starting point to assess noise correlation effects on ϵLT(R).

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression (48) provides a convenient starting point to assess noise correlation effects on ϵLT(R)

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This paper cites LT thus turns inter-cycle correlations into a resource, albeit a weak one.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression LT thus turns inter-cycle correlations into a resource, albeit a weak one

Reference 8

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This paper cites Applying LT to an odd-dZ code reproduces the advantage of using an even- dZ code under long-ranged correlations.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression Applying LT to an odd-dZ code reproduces the advantage of using an even- dZ code under long-ranged correlations

Reference 9

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This paper cites Note that in this regime, σ≪ 1 impliesR c ≫1.

Reference 10

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Observation 038ab808-5302-4c8b-870c-aff4d8202caf · outbound

This paper cites The goal of LDD is to modulate the sign of the rotation about this axis, so that coherent logical errors from different cycles interfere destructively.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression The goal of LDD is to modulate the sign of the rotation about this axis, so that coherent logical errors from different cycles interfere destructively

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Observation 303de972-a6d3-4e6a-9da6-acff39c13e53 · outbound

This paper cites (30) for a fixed noise realization provides intuition for this agreement.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression (30) for a fixed noise realization provides intuition for this agreement

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This paper cites ) (H11) is near-optimal.

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Observation 81ccbd68-532a-467f-a274-3a3b95662f47 · outbound

This paper cites For weak noise, ϵLDD(R) ≈ϵ LT(R), so noise correlations affect QEC+LDD similar to QEC+LT [see Sec.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression For weak noise, ϵLDD(R) ≈ϵ LT(R), so noise correlations affect QEC+LDD similar to QEC+LT [see Sec

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This paper cites These gates can be absorbed into state preparation and the correction steps, and thus carry no additional overhead.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression These gates can be absorbed into state preparation and the correction steps, and thus carry no additional overhead

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This paper cites Since ϵPT(R) is independent of the encoding eigenspace while the QEC-only infidelity is not, we compare against the conventional QEC-only protocol (all stabilizers +1).

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression Since ϵPT(R) is independent of the encoding eigenspace while the QEC-only infidelity is not, we compare against the conventional QEC-only protocol (all stabilizers +1)

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This paper cites 0.0 0.2 0.4 0.6 0.8 1.0 Correlation strength 10 5 10 4 Logical infidelity R = 100, 2 = 10 3, c/tcyc = 103 Conv.

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression 0.0 0.2 0.4 0.6 0.8 1.0 Correlation strength 10 5 10 4 Logical infidelity R = 100, 2 = 10 3, c/tcyc = 103 Conv

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This paper cites Stabilizer Codes and Quantum Error Correction.

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This paper cites Ultrahigh Error Threshold for Surface Codes with Biased Noise.

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Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression Aghababaie-Beniet al.(Google Quantum AI and Collaborators), Nature638, 920 (2025)

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This paper cites Eickbuschet al.(Google Quantum AI and Collabora- tors), Nature Physics21, 1994 (2025).

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression Eickbuschet al.(Google Quantum AI and Collabora- tors), Nature Physics21, 1994 (2025)

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This paper cites Klesse, Physical Review Letters95, 10.1103/Phys- RevLett.95.230503 (2005).

Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression Klesse, Physical Review Letters95, 10.1103/Phys- RevLett.95.230503 (2005)

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Correlated Coherent Errors in Stabilizer Codes: A General Cumulant Framework and Interference-Based Error Suppression Averaging over the logical Pauli ensemble { ˆI, ˆ¯XL, ˆ¯ZL, iˆ¯XL ˆ¯ZL} then simply removes the H term in the single-cycle channel

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