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20242026
most citedQuantum error correction below the surface code threshold

702 citations · 722 across the 7 of their papers we have counts for

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quant-ph2026

Gibbs Sampling in the Shattered Phase by Decoded Quantum Interferometry

Leo Zhou, Noah Shutty, Mark Sellke +1

We apply Decoded Quantum Interferometry (DQI) to sample from the Gibbs measures of classical Ising spin Hamiltonians. We show that this Gibbs sampling problem reduces to a quantum…

quant-ph2026

Affine Filtering Measurements and Their Applications to Quantum Decoding

Avijit Mandal, Noah Shutty, Henry D. Pfister +1

Unambiguous state discrimination (USD) measurements are attractive because outcomes are either marked as conclusive (i.e., error free) or inconclusive (i.e., erased). We study affi…

quant-ph2026

Optimization Using Locally-Quantum Decoders

Noah Shutty, Avijit Mandal, Seyoon Ragavan +8

It was pointed out in [JSW+25] that widely-studied optimization problems such as D-regular max-k-XORSAT can be reduced to decoding of LDPC codes, using quantum algorithms related t…

quant-ph2025

Efficient Quantum Hermite Transform

Siddhartha Jain, Vishnu Iyer, Rolando D. Somma +2

We present a new primitive for quantum algorithms that implements a discrete Hermite transform efficiently, in time that depends logarithmically in both the dimension and the inver…

quant-ph2025

Constructive interference at the edge of quantum ergodic dynamics

Dmitry A. Abanin, Rajeev Acharya, Laleh Aghababaie-Beni +262

Quantum observables in the form of few-point correlators are the key to characterizing the dynamics of quantum many-body systems. In dynamics with fast entanglement generation, qua…

quant-ph2024★ 702 cited

Quantum error correction below the surface code threshold

Rajeev Acharya, Laleh Aghababaie-Beni, Igor Aleiner +246

Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed…

quant-ph2024★ 16 cited

Optimization by Decoded Quantum Interferometry

Stephen P. Jordan, Noah Shutty, Mary Wootters +6

Achieving superpolynomial speedups for optimization has long been a central goal for quantum algorithms. Here we introduce Decoded Quantum Interferometry (DQI), a quantum algorithm…

quant-ph2024★ 4 cited

Thermalization and Criticality on an Analog-Digital Quantum Simulator

Trond I. Andersen, Nikita Astrakhantsev, Amir H. Karamlou +224

Understanding how interacting particles approach thermal equilibrium is a major challenge of quantum simulators. Unlocking the full potential of such systems toward this goal requi…

quant-ph2024

Efficiently constructing a quantum uniform superposition over bit strings near a binary linear code

Edward Farhi, Stephen P. Jordan

We demonstrate that a high fidelity approximation to , the quantum superposition over all bit strings within Hamming distance of the codewords of a dimension-…