1. The mother of all protocols: restructuring quantum information’s family tree by Anura Abeyesinghe, Igor Devetak, Patrick Hayden, and Andreas Winter Proceedings A Volume 465(2108):2537-2563 August 8, 2009 ©2009 by The Royal Society

2. (a) The starting point for the FQSW protocol, a pure tripartite entangled state |ψ 〉 =(|φ 〉 ABR) ⊗ n. Anura Abeyesinghe et al. Proc. R. Soc. A 2009;465:2537- 2563 ©2009 by The Royal Society

3. Partial quantum information theory family tree. Anura Abeyesinghe et al. Proc. R. Soc. A 2009;465:2537- 2563 ©2009 by The Royal Society

4. Partial reduction from the father to the mother. Anura Abeyesinghe et al. Proc. R. Soc. A 2009;465:2537- 2563 ©2009 by The Royal Society

5. Final version of the father protocol generated from FQSW. As figure 3 makes clear, UB3B was required to act on one-half of a maximally entangled state, the other half of which is found in A3A0, register held by Alice. Anura Abeyesinghe et al. Proc. R. Soc. A 2009;465:2537- 2563 ©2009 by The Royal Society

6. (a) The starting point for FQRS, a pair of pure entangled states. Anura Abeyesinghe et al. Proc. R. Soc. A 2009;465:2537- 2563 ©2009 by The Royal Society

7. (a) A trivial starting configuration for FQSW. Solid lines represent pure state entanglement between two parties. Anura Abeyesinghe et al. Proc. R. Soc. A 2009;465:2537- 2563 ©2009 by The Royal Society