Fetching the paper…
Reading the bibliography…
We extend the concept of dual unitary quantum gates to quantum lattice models in $2 + 1$ dimensions, by introducing and studying ternary unitary four-particle gates, which are unitary in time and both spatial dimensions.
A. Y. Kitaev, Fault-tolerant quantum computation by anyons, Ann. Physics 303
2003
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Renormalization algorithms for quantum-many body systems in two and higher dimensions, arXiv:cond-mat/0407066 10.48550/arxiv.cond-mat/0407066 (2004), cond-mat/0407066
2004
Earlier work this paper cites.
A. Y. Kitaev, Anyons in an exactly solved model and beyond, Ann. Physics 321
2006
Earlier work this paper cites.
M. B. Hastings, Solving gapped Hamiltonians locally, Phys. Rev. B 73
2006
Earlier work this paper cites.
M. Musz, M. Kuś, and K. Życzkowski, Unitary quantum gates, perfect entanglers, and unistochastic maps, Phys. Rev. A 87
2013
Earlier work this paper cites.
J. I. Cirac, D. Perez-Garcia, N. Schuch, and F. Verstraete, Matrix product unitaries: structure, symmetries, and topological invariants, J. Stat. Mech. Theor. Exp. 2017
2017
Earlier work this paper cites.
M. B. Şahinoğlu, S. K. Shukla, F. Bi, and X. Chen, Matrix product representation of locality preserving unitaries, Phys. Rev. B 98
2018
Cited alongside, same era.
B. Bertini, P. Kos, and T. Prosen, Exact correlation functions for dual-unitary lattice models in 1 + 1 1+1 dimensions, Phys. Rev. Lett. 123
2019
Cited alongside, same era.
L. Piroli, B. Bertini, J. I. Cirac, and T. Prosen, Exact dynamics in dual-unitary quantum circuits, Phys. Rev. B 101
2020
Cited alongside, same era.
S. A. Rather, S. Aravinda, and A. Lakshminarayan, Creating ensembles of dual unitary and maximally entangling quantum evolutions, Phys. Rev. Lett. 125
2020
Cited alongside, same era.
P. W. Claeys and A. Lamacraft, Ergodic and nonergodic dual-unitary quantum circuits with arbitrary local Hilbert space dimension, Phys. Rev. Lett. 126
2021
Cited alongside, same era.
2022
Closest in time.
R. Suzuki, K. Mitarai, and K. Fujii, Computational power of one- and two-dimensional dual-unitary quantum circuits, Quantum 6
2022
Closest in time.
S. A. Rather, A. Burchardt, W. Bruzda, G. Rajchel-Mieldzioć, A. Lakshminarayan, and K. Życzkowski, Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem, Phys. Rev. Lett. 128
2022
Closest in time.
2022
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P. Kos, B. Bertini, and T. Prosen, Correlations in perturbed dual-unitary circuits: efficient path-integral formula, Phys. Rev. X 11
2021
Cited alongside, same era.
2022
Closest in time.