Things to implement before version 1.0

Big picture stuff

Different Array libraries

Infrastructure for inter-operability of array-like objects, see http://matthewrocklin.com/blog/work/2018/05/27/beyond-numpy and e.g. arrayish https://github.com/hameerabbasi/arrayish or custom implementation
Interface to Cyclops Tensor Framework (modify python interface to be interoperable with pydata.sparse)
- write paper with Edgar with large app

Quantum chemistry

Implement MPO for > 1 site dot algo and implement selected CI treatment of mat*vec
- paper on selected CI + DMRG
- many applications
Check infrastructure for SU(2)
Loop through improvements in QC
Infinite DMRG with QC Hamiltonian

PEPS

implement 2D boundary contraction method; optimize sparse tensor performance

Paper

paper on design of library and treatment of QN's, also part of documentation of v1.0

Medium picture stuff

Performance

Optimize COO tensor performance

DMRG

Implement special DMRG version of MPO mult
reduced density matrices

MPS

infinite MPS
PBC Pippin gauge
analytic derivative / tangent space
loop through all MPS time-evol algos
- connect to Erika's work
- maybe benchmark paper on time-evol algos, but others are doing
MPS wrapper, mimic scipy.sparse iterative interface for Lanczos

MPO

Design interface for MPO generator based on Zhendong's MPO generator implementation

Sparse implementation

Finish Block COO library
re-implement MPX functions with bCOO array

Immediate TODO list and reminders

Make pbc/obc DMRG code identical
Implement Heisenberg with sparse: compare to dense
Write quantum numbers to sparse map check preserved under svd
check QN/Sparse map preserved under Heisenberg H
Fix preserve_uv
Fix rand constructor for complex
Check out Zhendong MPO, implement basic QC H
check quantum numbers/sparse map preserved
Interface to randomized SVD
general DMRG wrapper, to take scipy function e.g. solve_ivp