3 papers
quant-ph2024
Regular language quantum states
Marta Florido-Llinàs, Álvaro M. Alhambra, David Pérez-García +1
We introduce regular language states, a family of quantum many-body states. They are built from a special class of formal languages, called regular, which has been thoroughly studi…
quant-ph2024
Matrix-product unitaries: Beyond quantum cellular automata
Georgios Styliaris, Rahul Trivedi, David Pérez-García +1
Matrix-product unitaries (MPU) are 1D tensor networks describing time evolution and unitary symmetries of quantum systems, while their action on states by construction preserves th…
quant-ph2024
Security of quantum position-verification limits Hamiltonian simulation via holography
Harriet Apel, Toby Cubitt, Patrick Hayden +2
We investigate the link between quantum position-verification (QPV) and holography established in [MPS19] using holographic quantum error correcting codes as toy models. By inserti…