Figures to plot

[GiggleLiu]

• Examples: K23 and Petersen.
• Main figure, overview of the reduction process
• Quantum simulation result (compare KSG and Triangular, count number of violation of blockade constraints) based on K23 graphm @fliingelephant

[isPANN]

This is the K23 graph on a triangular lattice.

[isPANN]

This is a simplified version.

[fliingelephant]

To make sure that I am putting atoms correctly, could you provide (rough) coordinates for this K23 graph?
In the form of square lattice coordinates or triangular lattice coordinates are both OK.

[isPANN]

To make sure that I am putting atoms correctly, could you provide (rough) coordinates for this K23 graph? In the form of square lattice coordinates or triangular lattice coordinates are both OK.

locs = [
	(2, 2), (1, 3), (2, 4), (1, 5), (2, 6), (1, 7), (2, 8), (1, 9), (2, 10), (1, 11), 
	(2, 12), (2, 13), (3, 14), (2, 3), (3, 3), (2, 9), (3, 9), (4, 3), (5, 1), (5, 2), 
	(5, 3), (5, 4), (6, 2), (6, 4), (5, 5), (6, 6), (5, 7), (5, 8), (4, 9), (6, 8), 
	(5, 9), (5, 10), (6, 10), (5, 11), (5, 12), (4, 13), (4, 14), (5, 14), (4, 15), (5, 15), 
	(5, 16)
]

weights = Float64[
	1,2,2,2,2,2,2,2,2,2,
	1,1,2,3,2,3,2,3,1,3,
	4,3,2,2,2,2,2,3,3,2,
	4,3,2,2,2,2,3,3,3,2,
	1
]

pin_set = [1, 19, 23, 30, 40]

mapped_weights = copy(weights)
for pin in pin_set
    mapped_weights[pin] += 0.25
end

function physical_position(loc)
    i, j = loc
    y = j * (√3 / 2)
    x = i + (isodd(j) ? 0.5 : 0.0)
    return (x, y)
end

# Note: the unit radius is 1.
physical_locs = [physical_position(node) for node in locs]
unit_disk_graph(physical_locs, 1.1)

[isPANN]

This is a smaller one.

locs = [(5, 14), (8, 14), (4, 15), (5, 15), (6, 15), (7, 15), (8, 15), (5, 16), (8, 16), (9, 16), (4, 17), (7, 17), (5, 18), (8, 18), (4, 19), (5, 19), (6, 19), (7, 19), (8, 19), (5, 20), (8, 20), (9, 20), (4, 21), (7, 21), (5, 22), (8, 22), (5, 23), (6, 23), (7, 23), (8, 23), (8, 24), (9, 24), (8, 25)]

weights = [1, 1, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 2, 2, 2, 3, 2, 3, 3, 2, 3, 1, 2, 2, 1, 2, 1, 2, 3, 3, 3, 2, 1]

pin_set = [1, 2, 10, 22, 32]

# the codes below are not changed
mapped_weights = copy(weights)
for pin in pin_set
    mapped_weights[pin] += 0.25
end

function physical_position(loc)
    i, j = loc
    y = j * (√3 / 2)
    x = i + (isodd(j) ? 0.5 : 0.0)
    return (x, y)
end

# Note: the unit radius is 1.
physical_locs = [physical_position(node) for node in locs]
unit_disk_graph(physical_locs, 1.1)