Top quantum algorithms papers — Fall 2024 edition

In this blog post we share our favourite papers released in the fourth quarter of 2024. The selection is based on relevance to quantum algorithms and applications; these are results that we admire and that have been influential to our research. Xanadu papers won’t appear in the selection due to an obvious conflict of interest, but we take the opportunity to share our latest work at the end of this blog post.

Contents

• The Top 5
  • 1. Magic state cultivation: growing T states as cheap as CNOT gates
  • 2. TE-PAI: Exact Time Evolution by Sampling Random Circuits
  • 3. Observation of disorder-free localization and efficient disorder averaging on a quantum processor
  • 4. Unification of Finite Symmetries in Simulation of Many-body Systems on Quantum Computers
  • 5. Logical computation demonstrated with a neutral atom quantum processor
• Honourable mentions
• Xanadu papers from fall 2024

The Top 5

1. Magic state cultivation: growing T states as cheap as CNOT gates

Fault-tolerant quantum computing just got cheaper. A result that can permeate all quantum computing in the future.

2. TE-PAI: Exact Time Evolution by Sampling Random Circuits

A very clever randomized method to obtain low Trotter errors without greatly increasing circuit depth.

3. Observation of disorder-free localization and efficient disorder averaging on a quantum processor

Another impressive fundamental physics experiment using noisy quantum computers.

4. Unification of Finite Symmetries in Simulation of Many-body Systems on Quantum Computers

Potentially a very useful framework to exploit symmetries across all areas of quantum simulation.

5. Logical computation demonstrated with a neutral atom quantum processor

Our favourite quantum error correction experiment of the season.

Honourable mentions

1. Error mitigation and circuit division for early fault-tolerant quantum phase estimation
   

   

   A masterful end-to-end analysis and development of early fault-tolerance cost reductions and space-time trade-offs.

2. Hardware-efficient quantum error correction using concatenated bosonic qubits
   

   

   Another milestone quantum error correction experiment, this time with cat qubits.

3. Demonstrating real-time and low-latency quantum error correction with superconducting qubits
   

   

   A full-stack quantum error correction demonstration that stands out by focusing on the challenges of real-time decoding.

Xanadu papers from fall 2024

Here we share our publications from this fall. You can find the full list on our website.

• Quantum Algorithm for Vibronic Dynamics: Case Study on Singlet Fission Solar Cell Design
  

  

  A potential killer application of quantum computing. We demonstrate some of the lowest gate and qubit counts ever for an important and classically-challenging simulation.
  
  

• Unified and Generalized Approach to Entanglement-Assisted Quantum Error Correction
  

  

  A framework for entanglement-assisted quantum codes that generalizes and unifies previous approaches.
  
  

• Better product formulas for quantum phase estimation
  

  

  An improved product formula construction that leads to lower error when used for energy estimation applications.
  
  

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We hope you enjoyed this selection of top papers. Stay tuned for the Winter 2025 edition! You can sign up to the Xanadu newsletter or follow PennyLane on LinkedIn or Twitter/X to get notified.