PMC

Braiding of the real and imaginary field components around linear and ring lattices endowed with chiral symmetry. (a,b) Braiding the real and imaginary field components along linear lattices is insensitive to the lattice parity–whether (a) even-sited or (b) odd-sited–due to the free lattice boundaries. (c) Braiding is complete around an even-sited ring lattice. (d) Braiding cannot be completed around an odd-sited ring lattice. Incommensurability breaks the chiral symmetry.

Parity plots of different algorithms for lattice constant a predictions for cubic materials. (a) DNN + complete descriptor set, (b) RF + complete descriptor set, and (c) SVR + complete descriptor set.

(a) Complete 3D lattice cell. For the cell (at lattice coordinates cc ∈ CEL) qubits marked black are S_cc, and gray qubits are F_cc; (b) A primal cell (marked gray) and eight dual cells (physical qubits and entanglement are not represented).

(a) Schematic drawing of the conversion of the S-layer lattice symmetry of SbpA, from square to oblique, and complete loss of crystallinity; (b) TEM image of the rSbpA_31–1268 lattice showing square, and (c) of the rSbpA_31-918 lattice exhibiting oblique lattice symmetry.