Fetching the paper…

Reading the bibliography…

A tensor version of the quantum Wielandt theorem · Around

2018

A tensor version of the quantum Wielandt theorem

Michałek, Mateusz, Seynnaeve, Tim, Verstraete, Frank

Original
PDF
Post on X

Understand

We prove boundedness results for the injectivity regions for PEPS.

Our result is a higher-dimensional generalization of the quantum Wielandt inequality.

Built on

Finitely correlated states on quantum spin chains
Mark Fannes, Bruno Nachtergaele, and Reinhard F Werner · 1992
Earlier work this paper cites.
Matrix product state representations
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac · 2007
Earlier work this paper cites.

Similar

Peps as unique ground states of local hamiltonians
D Pérez-Garcıa, F Verstraete, MM Wolf, and JI Cirac · 2007
Cited alongside, same era.
A quantum version of wielandt’s inequality
Mikel Sanz, David Perez-Garcia, Michael M. Wolf, and Juan I. Cirac · 2010
Cited alongside, same era.

Then

Quantum version of wielandt’s inequality revisited
Mateusz Michałek and Yaroslav Shitov · 2018
Closest in time.
A new bound on quantum wielandt inequality
Original
Mizanur Rahaman · 2018
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…