Ternary Unitary Quantum Lattice Models and Circuits in Dimensions
RM Milbradt, L Scheller, C Aßmus, CB Mendl - Physical Review Letters, 2023 - APS
We extend the concept of dual unitary quantum gates introduced in Phys. Rev. Lett. 123,
210601 (2019) PRLTAO 0031-9007 10.1103/PhysRevLett. 123.210601 to quantum lattice …
210601 (2019) PRLTAO 0031-9007 10.1103/PhysRevLett. 123.210601 to quantum lattice …
Multi-directional unitarity and maximal entanglement in spatially symmetric quantum states
We consider dual unitary operators and their multi-leg generalizations that have appeared at
various places in the literature. These objects can be related to multi-party quantum states …
various places in the literature. These objects can be related to multi-party quantum states …
Construction of perfect tensors using biunimodular vectors
SA Rather - arXiv preprint arXiv:2309.01504, 2023 - arxiv.org
Dual unitary gates are highly non-local two-qudit unitary gates that have been studied
extensively in quantum many-body physics and quantum information in the recent past. A …
extensively in quantum many-body physics and quantum information in the recent past. A …
Absolutely maximally entangled state equivalence and the construction of infinite quantum solutions to the problem of 36 officers of Euler
Ordering and classifying multipartite quantum states by their entanglement content remains
an open problem. One class of highly entangled states, useful in quantum information …
an open problem. One class of highly entangled states, useful in quantum information …
Tensor network decompositions for absolutely maximally entangled states
B Pozsgay, IM Wanless - Quantum, 2024 - quantum-journal.org
Absolutely maximally entangled (AME) states of $ k $ qudits (also known as perfect tensors)
are quantum states that have maximal entanglement for all possible bipartitions of the …
are quantum states that have maximal entanglement for all possible bipartitions of the …
Multi-Unitary Complex Hadamard Matrices
W Bruzda, G Rajchel-Mieldzioć… - Open Systems & …, 2024 - World Scientific
We analyze the set of real and complex Hadamard matrices with additional symmetry
constrains. In particular, we link the problem of existence of maximally entangled multipartite …
constrains. In particular, we link the problem of existence of maximally entangled multipartite …
[HTML][HTML] Two-unitary complex Hadamard matrices of order 36
W Bruzda, K Życzkowski - Special Matrices, 2024 - degruyter.com
A family of two-unitary complex Hadamard matrices (CHMs) of size 36 stemming from a
particular matrix is constructed. Every matrix in this orbit remains unitary after operations of …
particular matrix is constructed. Every matrix in this orbit remains unitary after operations of …
Families of Perfect Tensors
R Geng - arXiv preprint arXiv:2211.15776, 2022 - arxiv.org
Perfect tensors are the tensors corresponding to the absolutely maximally entangled states,
a special type of quantum states of interest in quantum information theory. We establish a …
a special type of quantum states of interest in quantum information theory. We establish a …
Quantum Version of Euler's Problem: A Geometric Perspective
K Życzkowski - Workshop on Geometric Methods in Physics, 2022 - Springer
The classical combinatorial problem of 36 officers has no solution, as there are no Graeco-
Latin squares of order six. The situation changes if one works in a quantum setup and allows …
Latin squares of order six. The situation changes if one works in a quantum setup and allows …
[PDF][PDF] 36 splątanych oficerów z Petersburga
G RAJCHEL-MIELDZIOĆ, W BRUZDA… - deltami.edu.pl
Rozwa£ my konstrukcję znaną co najmniej od XIII wieku [3], kwadrat şaciński. Jest to tablica
o wymiarze d na d, wypeşniona d elementami (np. literami alfabetu şacińskiego) w ten …
o wymiarze d na d, wypeşniona d elementami (np. literami alfabetu şacińskiego) w ten …