No invariant perfect qubit codes

Mansuroglu R, Sahlmann H (2023)

Publication Type: Journal article

Publication year: 2023


Book Volume: 2023

Article Number: 62

Journal Issue: 2

DOI: 10.1007/JHEP02(2023)062


Perfect tensors describe highly entangled quantum states that have attracted particular attention in the fields of quantum information theory and quantum gravity. In loop quantum gravity, the natural question arises whether SU(2) invariant tensors, which are fundamental ingredients of the basis states of spacetime, can also be perfect. In this work, we present a number of general constraints for the layout of such invariant perfect tensors (IPTs) and further describe a systematic and constructive approach to check the existence of an IPT of given valence. We apply our algorithm to show that no qubit encoding of valence 6 can be described by an IPT and close a gap to prove a no-go theorem for invariant perfect qubit encodings. We also provide two alternative proofs for the non-existence of 4-valent qubit IPTs which has been shown in [1, 2].

Authors with CRIS profile

How to cite


Mansuroglu, R., & Sahlmann, H. (2023). No invariant perfect qubit codes. Journal of High Energy Physics, 2023(2).


Mansuroglu, Refik, and Hanno Sahlmann. "No invariant perfect qubit codes." Journal of High Energy Physics 2023.2 (2023).

BibTeX: Download