Featured papers

Featured Papers

Hand-picked quantum computing papers — each with a plain-language summary, key takeaway, and direct link. Curated for researchers, students, and engineers who want signal without drowning in arXiv. New papers are added whenever something worth reading appears.

Papers are selected based on their impact, how interesting the result is, the creativity of the approach, and whether the core idea is genuinely new. Incremental work is rarely featured.

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IntermediateQuantum ML
Jul 2, 2026

Quantum Convolutional Autoencoders for Reconstruction-Based Anomaly Detection

Slabbert, D., Petruccione, F.

arXiv

Main idea

Adapts a quantum convolutional neural network into a quantum autoencoder for reconstruction-based anomaly detection, trained semi-supervised on normal samples with reconstruction error as the anomaly score. It compares two designs — a hierarchical architecture that keeps information distributed across the circuit, and a bottleneck architecture that explicitly compresses information into a smaller latent space — benchmarked against a variational quantum circuit and a classical baseline on real exoplanet data.

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AdvancedHardware
Jun 4, 2026

Breakeven demonstration of quantum low-density parity-check codes

Tham, E., Goldman, M. L., Debnath, S., Patel, A. N., Saraladevi, J., Nguyen, J., Nielsen, E., Pisenti, N., Wright, K., Gamble, J., Delfosse, N.

arXiv

Main idea

Demonstrates nine quantum error-correcting codes with very different connectivity requirements on a single trapped-ion device without hardware reconfiguration, spanning qLDPC, topological, and concatenated codes. A qLDPC code encoding 4 logical qubits into 18 physical qubits achieves a logical error rate up to 9x better than a prior superconducting demonstration — and reaches breakeven, where some logical qubit lifetimes meet or exceed the physical qubits.

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AdvancedAlgorithms
May 28, 2026

Quantum algorithms for density functional theory with minimal readout

Zhao, Y., Nishi, H., Kosugi, T., Hirose, S., Sakagami, H., Oikawa, T., Okayama, T., Matsushita, Y.

arXiv

Main idea

Presents a qubit-efficient encoding for Kohn-Sham density functional theory wavefunctions, with a quantum algorithm that computes all occupied orbitals simultaneously. By avoiding the costly readout of the electronic density — a key bottleneck — the method enables total energy evaluation with a potential exponential speedup for the Harris functional.

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IntermediateAlgorithms
May 26, 2026

Qiskit QuantumKatas: Adapting Microsoft's Quantum Computing exercises for LLM evaluation

Cruz-Benito, J., Faro, I.

arXiv

Main idea

Adapts Microsoft's QuantumKatas curriculum from Q# to Qiskit and packages it as a benchmark of 350 tasks across 26 categories with deterministic simulation-based verification. Evaluating 16 LLMs across 7 prompting setups (39,200 runs), the benchmark cleanly separates models with pass rates from 32% to 83%.

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AdvancedQuantum ML
May 26, 2026

Adaptive Reinforcement Learning for Robust Open Quantum System Control: A Multi-Task Framework with Temporal Optimization

Fentaw, H. W., Campbell, S., Caton, S.

arXiv

Main idea

A multi-task Soft Actor-Critic reinforcement learning framework for open-system quantum control that learns optimal pulse sequences while simultaneously discovering the problem-specific evolution time T and number of control pulse segments N. Across 51 Hamiltonian variations under environmental noise, it drives systems from initial to target states with high fidelity, and tests whether a single model generalizes to Hamiltonians not seen during training.

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AdvancedAlgorithms
May 25, 2026

Preparing thermal states of frustrated quantum spin systems using 139 qubits

Farrell, R. C., Zhan, Y., Katschke, L., Pollet, L., Rosen, I. T., Halimeh, J. C.

arXiv

Main idea

Uses dissipative state preparation on IBM quantum processors to prepare approximate thermal states of frustrated spin models on the kagome lattice — including the antiferromagnetic Heisenberg model, whose finite-temperature properties are inaccessible to quantum Monte Carlo due to a severe sign problem. They reach 79 spins coupled to 60 environment qubits (139 total), with a robust steady state of adjustable effective temperature persisting through over 1,000 layers of two-qubit gates.

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AdvancedAlgorithms
May 21, 2026

A sharp interaction-degree threshold for simulating QAOA

Āboliņš, R., Ambainis, A.

arXiv

Main idea

Identifies a sharp interaction-degree threshold for classically simulating QAOA with 2-local cost functions. At degree 2, exact classical sampling from depth-p QAOA runs in polynomial time when p = O(log n). At degree 3, classical sampling with even small multiplicative error would collapse the polynomial hierarchy to its third level — strong evidence of genuine hardness.

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AdvancedQuantum ML
May 7, 2026

Quantum-enhanced Large Language Models on Quantum Hardware via Cayley Unitary Adapters

Aizpurua, B., Singh, S., Kshetrimayum, A., Jahromi, S. S., Orus, R.

arXiv

Main idea

Inserts Cayley-parameterised unitary adapters — quantum circuit blocks — into the frozen projection layers of pre-trained LLMs, executed on a 156-qubit IBM Quantum System Two. The method improves the perplexity of Llama 3.1 8B by 1.4% with only 6,000 additional parameters, with end-to-end inference validated on real quantum hardware, not a simulator.

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AdvancedAlgorithms
Apr 15, 2026

Securing Elliptic Curve Cryptocurrencies against Quantum Vulnerabilities: Resource Estimates and Mitigations

Babbush, R., Zalcman, A., Gidney, C., Broughton, M., Khattar, T., Neven, H., Bergamaschi, T., Drake, J., Boneh, D.

arXiv

Main idea

Provides new resource estimates for breaking the 256-bit Elliptic Curve Discrete Logarithm Problem — the core of modern blockchain cryptography. Shor's algorithm can run with under 1,450 logical qubits and under 70 million Toffoli gates; on superconducting hardware with 1e-3 error rates, the attack executes in minutes using fewer than half a million physical qubits. Introduces a fast-clock vs slow-clock architecture distinction that determines whether real-time on-spend attacks are feasible.

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AdvancedHardware
Dec 9, 2024

Quantum error correction below the surface code threshold

Acharya, R., Aleiner, I., Allen, R. et al. (Google Quantum AI)

Nature

Main idea

Google Willow processor demonstrates two surface code memories operating below the error correction threshold. Increasing the code distance from 5 to 7 reduces the logical error rate by a factor of 2.14. The logical qubit lifetime exceeds the best physical qubit by 2.4x.

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AdvancedHardware
Mar 27, 2024

High-threshold and low-overhead fault-tolerant quantum memory

Bravyi, S., Cross, A. W., Gambetta, J. M., Maslov, D., Rall, P., Yoder, T. J.

Nature

Main idea

Demonstrates fault-tolerant quantum memory using low-density parity-check (LDPC) codes achieving an error threshold of 0.7% on par with surface codes but with dramatically lower qubit overhead. LDPC codes can encode more logical qubits per physical qubit than surface codes.

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AdvancedQuantum ML
Feb 20, 2024

Absence of barren plateaus in finite local-depth circuits with long-range entanglement

Zhang, H., Wan, K., Mlynar, P., Coles, P. J., Cerezo, M.

Physical Review Letters

Main idea

Proves that specific circuit architectures with finite local depth and long-range entanglement can avoid barren plateaus even at scale. Provides a constructive route to trainable deep quantum circuits.

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AdvancedQuantum ML
Feb 14, 2022

Connecting ansatz expressibility to gradient magnitudes and barren plateaus

Holmes, Z., Sharma, K., Cerezo, M., Coles, P. J.

PRX Quantum

Main idea

Proves a direct mathematical connection between circuit expressibility and barren plateaus: circuits that can approximate 2-designs (highly expressive) necessarily have exponentially vanishing gradients. The trainability-expressibility trade-off is fundamental and inescapable.

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IntermediateHardware
Aug 16, 2021

Variational quantum algorithms

Cerezo, M., Arrasmith, A., Babbush, R., Benjamin, S. C., Endo, S., Fujii, K., McClean, J. R., Mitarai, K., Yuan, X., Cincio, L., Coles, P. J.

Nature Reviews Physics

Main idea

A comprehensive survey of variational quantum algorithms — covering design, training, applications to chemistry, optimization, and ML, alongside the key challenges: barren plateaus, noise, and the difficulty of demonstrating quantum advantage.

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AdvancedQuantum ML
Jun 14, 2021

A rigorous and robust quantum speed-up in supervised machine learning

Liu, Y., Arunachalam, S., Temme, K.

Nature Physics

Main idea

Provides a rigorous proof-of-principle quantum advantage in supervised ML for a specific problem based on discrete logarithm — a problem believed to be hard classically but easy quantumly. The dataset was artificially constructed to demonstrate the separation.

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AdvancedQuantum ML
Jun 9, 2021

Power of data in quantum machine learning

Huang, H.-Y., Broughton, M., Mohseni, M., Babbush, R., Boixo, S., Neven, H., McClean, J. R.

Nature Communications

Main idea

Quantum ML models do not automatically outperform classical ones. By carefully constructing classical kernels that mimic quantum feature maps, classical ML can match or exceed quantum models on most practical datasets. The key insight is that quantum advantage in ML requires data with genuine quantum structure.

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AdvancedAlgorithms
May 8, 2021

Fault-tolerant quantum simulations of chemistry in first quantization

Babbush, R., Berry, D. W., Jones, N. C., Gidney, C., Su, Y., McClean, J. R., Neven, H.

npj Quantum Information

Main idea

A comprehensive resource estimation for fault-tolerant quantum simulation of industrially relevant chemistry problems. Shows that simulating molecules like FeMoco for nitrogen fixation requires millions of T gates and thousands of logical qubits.

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AdvancedAlgorithms
Apr 15, 2021

How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits

Gidney, C., Ekera, M.

Quantum

Main idea

A detailed resource estimation for running Shor's algorithm at practical scale. Breaking RSA-2048 requires approximately 20 million physical qubits running for 8 hours with surface code error correction at realistic error rates.

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AdvancedQuantum ML
Mar 11, 2021

Supervised quantum machine learning models are kernel methods

Schuld, M., Killoran, N.

Physical Review Letters

Main idea

Proves that all supervised quantum ML models are equivalent to kernel methods, where the kernel is defined by the inner product of quantum feature states. This unifies QML with classical kernel theory and provides rigorous tools for analyzing quantum models.

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AdvancedQuantum ML
Mar 8, 2021

Cost function dependent barren plateaus in shallow parametrized quantum circuits

Cerezo, M., Sone, A., Volkoff, T., Cincio, L., Coles, P. J.

Nature Communications

Main idea

Barren plateaus depend critically on whether the cost function is global or local. Local cost functions on shallow circuits can avoid barren plateaus even at scale, providing a partial path forward for trainable VQAs.

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