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LaTiO3

LaTiO3 is (Cubic) Perovskite structured and crystallizes in the cubic Pm-3m space group. La(1) is bonded to twelve equivalent O(1) atoms to form LaO12 cuboctahedra that share corners with twelve equivalent La(1)O12 cuboctahedra, faces with six equivalent La(1)O12 cuboctahedra, and faces with eight equivalent Ti(1)O6 octahedra. All La(1)–O(1) bond lengths are 2.80 Å. Ti(1) is bonded to six equivalent O(1) atoms to form TiO6 octahedra that share corners with six equivalent Ti(1)O6 octahedra and faces with eight equivalent La(1)O12 cuboctahedra. The corner-sharing octahedra are not tilted. All Ti(1)–O(1) bond lengths are 1.98 Å. O(1) is bonded in a distorted linear geometry to four equivalent La(1) and two equivalent Ti(1) atoms.

Highlights

Qubits
Depth
Baseline
5,2501.848×10^11
Phasecraft
6,870126,864
Applications
Catalysis
Sensors

Material info

Name
LaTiO3
Materials Project ID
mp-8020
Number of atoms
5
Spacegroup
Pm-3m

Density Functional Theory

Kohn-Sham electrons
40
Kohn-Sham electrons occupied
24
Pseudo family
ONCVPSP

Circuitry

Circuit depth
126,864
Number of interactions
628,098
Number of modes
6,750
Number of qubits
6,870
Number of two-qubit gates
31,678,456

Encoding

Number of groups
125
Modes per group
54
Translatable
6,656
Non-translatable
5,216
Tiled translatable
429,650
Tiled nontranslatable
198,448
System dimensions
[5, 5, 5]

Wannier Functions

Final spread
6.332×10^-1
Final variance
1.132×10^-1
Number of iterations
10,000
Number of Wannier functions
27
Spread difference
2.584×10^-7

Compilation

Algorithm
VQE
Detail
Splitting onsite/NN from NNN+ terms
Number of interactions
205,104
Number of nontranslatable terms
5,216
Number of translatable terms
6,656
Number of tiled translatable terms
429,650
Number of tiled nontranslatable terms
198,448

Hamiltonian

Baseline circuit depth
1.848×10^11
Baseline number of bands
21
Baseline number of qubits
5,250
Coulumb number of cluster sites
19
Coulomb neighbor order
1
Coulomb symmetry checks
true
Hop number of cluster sites
81
Interaction motif neighbor order
1
Number of Coulomb terms
104
Number of hopping terms
8,570
Number of Majorana terms
11,879
Number of Wannier tight binding
27
Tau Coulomb terms consistent
6.679×10^-1
Tau hop matrix consistent
1.903×10^-3
Threshold Coulomb terms
5.403×10^0
Threshold hop matrix
0.030446
Tolerance
0.5
Use interaction
1
Energy window
Distance method
MaxDist
Hop matrix neighbor order
6

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