ResearchPapersLibrary

A library for all quantum topics from beginner to advanced. It also includes the papers on arxiv relevant to my current projects.

Topics

• Understanding Different Qubit Implementations

  • Medium Article by Daniel Goldsmith
  • Superconducting qubits
  • IBM on Superconducting Qubits

• Tensor Networks

  • Belief Propagation

• QAOA

  • Read:
  • To Read:

• Classical Non Convex Optiminzation Algorithms

  • https://arxiv.org/pdf/1505.03068

• Cliffords

  • What are clifford gates and clifford circuits?

• QNN:

  • https://discuss.pennylane.ai/t/quantum-neural-networks-quanvolutional-nn/1111/9
  • https://arxiv.org/pdf/2303.05860

• HPC + Quantum

• VQE

  • Understanding Convex and Non Convex

• Lie Algerbra and Lie Groups

  • Pennylane Intro
  • Quantum Tutorials Youtube
  • Lie Algebra Book

• Complexity Theory

  • Intro to NP, Np hard and Reductions
  • BQP and Classical Complexity

• Ham Models

  • Ising
  • Hubbard
  • Skyrmion

• Miscelleneous

  • Difference between Fermi Hubbard Model and Quantum Skyrmions
  • Transmon qubits
  • AdS/CFT correspondence
  • QUBO vs QUSO
  • Qumodes vs qubits
  • Density Matrix
  • Multithreading
  • GPU Programming
  • Relationshio between spetral gap and quantum gate time
  • Concept of Contexuality

• Project Ideas

  • [Compare VQE vs PQE]
  • [Write cublas based mps and mpo and peps]
  • 2500 Pendulums
  • [Mera for decoding?]
  • benchmark all tensornetwork simulators
  • 2:4 sparsity for decoders Implementations (https://neuralmagic.com/blog/24-sparse-llama-smaller-models-for-efficient-gpu-inference/)
  • CUDA Implementations and optimisations (https://cudaforfun.substack.com/p/outperforming-cublas-on-h100-a-worklog)
  • Jordan Wigner based decoding is O(1) use with belief vs Bravyi and Kitaev decoding O(logn)?
  • Fermionic Majorana commuting relations
  • QEC codes are bad at operating at errors, (Sophia Lin video on youtube)
  • How to prevent these ? enlargement of qubits Q3DE and Adaptive surface codes and Sruf deformer workflow.
  • is decoding agnostic to encoding technique, if no then try doing for concatenating decoding.

Advt of analog vs gate based computing?

If we have a 30ns simulations, analog will take 30ns. Whereas in gate based, gates T1 is of order 20/30 ns, a time evolution of 30ns wont take that much time.