add hw9 and hw8

1 files changed, 75 insertions, 0 deletions

diff --git a/hw9/yao-assigment-2.jl b/hw9/yao-assigment-2.jl
new file mode 100644
index 0000000..7de7987
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+++ b/hw9/yao-assigment-2.jl
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+begin
+	using Pkg
+	Pkg.activate(mktempdir())
+	Pkg.Registry.update()
+	Pkg.add("Yao")
+	Pkg.add("YaoPlots")
+	Pkg.add("StatsBase")
+	Pkg.add("Plots")
+	Pkg.add("BitBasis")
+end
+
+using Yao, YaoPlots
+
+# make the bell circuit
+bellcircuit = chain(2, put(1 => H), control(1, 2 => X))
+
+# make the reverse bell circuit
+reversebellcircuit = chain(2, control(1, 2 => X), put(1 => H))
+
+# circuit that takes two qubits and passes it through 
+# the bell circuit then the reverse bell circuit
+circuit = chain(2, bellcircuit, reversebellcircuit)
+# plot(circuit)
+
+# make the qubits |00>, |01>, |10>, |11>
+qubit00 = ArrayReg(bit"00")
+qubit10 = ArrayReg(bit"10") # circuit reads in reverse order
+qubit01 = ArrayReg(bit"01")
+qubit11 = ArrayReg(bit"11")
+
+using StatsBase: Histogram, fit
+using Plots: bar, scatter!, gr;
+gr();
+using BitBasis
+function plotmeasure(x::Array{BitStr{n, Int}, 1}) where n
+	hist = fit(Histogram, Int.(x), 0:2^n)
+	x = 0
+	if (n <= 3)
+		s = 8
+	elseif (n > 3 && n <= 6)
+		s = 5
+	elseif (n > 6 && n <= 10)
+		s = 3.2
+	elseif (n > 10 && n <= 15)
+		s = 2
+	elseif (n > 15)
+		s = 1
+	end
+	bar(hist.edges[1] .- 0.5, hist.weights, legend = :none, size = (600 * (2^n) / s, 400), ylims = (0:maximum(hist.weights)), xlims = (0:2^n), grid = :false, ticks = false, border = :none, color = :lightblue, lc = :lightblue)
+	scatter!(0:2^n-1, ones(2^n, 1), markersize = 0,
+		series_annotations = "|" .* string.(hist.edges[1]; base = 2, pad = n) .* "⟩")
+	scatter!(0:2^n-1, zeros(2^n, 1) .+ maximum(hist.weights), markersize = 0,
+		series_annotations = string.(hist.weights))
+end
+
+# pass them through the circuit 1024 times, taking measurements
+println("Qubit 00")
+measured_qubits00 = qubit00 |> circuit -> measure(circuit, nshots = 1024)
+println(measured_qubits00)
+plotmeasure(measured_qubits00)
+
+println("Qubit 01")
+measured_qubits01 = qubit01 |> circuit -> measure(circuit, nshots = 1024)
+println(measured_qubits01)
+plotmeasure(measured_qubits01)
+
+println("Qubit 10")
+measured_qubits10 = qubit10 |> circuit -> measure(circuit, nshots = 1024)
+println(measured_qubits10)
+plotmeasure(measured_qubits10)
+
+println("Qubit 11")
+measured_qubits11 = qubit11 |> circuit -> measure(circuit, nshots = 1024)
+println(measured_qubits11)
+plotmeasure(measured_qubits11)