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EJM-family visibility calculation performed. At inflation level 3 and NPA level = "physical", visibility is 0.09091
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inflation/applications/pedro_manual_ring.py

Lines changed: 28 additions & 14 deletions
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@@ -62,7 +62,7 @@ def ring_problem(n: int) -> InflationProblem:
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ring_SDP = InflationSDP(prob, verbose=2, include_all_outcomes=False)
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ring_SDP.generate_relaxation("physical2", max_monomial_length=2)
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ring_SDP.generate_relaxation("physical")
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# ring_SDP.generate_relaxation("npa1")
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print("Quantum inflation **nonfanout/commuting** factors:")
@@ -72,17 +72,31 @@ def ring_problem(n: int) -> InflationProblem:
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# # # print(ring_4_SDP.momentmatrix)
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# # #
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# Inputting values
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known_values = {}
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known_values["P[A^{1,2}=0]"] = 1 / 4
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known_values["P[A^{1,2}=0 A^{2,3}=0]"] = 1 / 8
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known_values["P[A^{1,2}=0 A^{2,3}=1]"] = 1 / 24
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known_values["P[A^{1,2}=0 A^{2,3}=0 A^{3,1}=0]"] = 1 / 8
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known_values["P[A^{1,2}=0 A^{2,3}=0 A^{3,1}=1]"] = 1 / 64
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known_values["P[A^{1,2}=0 A^{2,3}=1 A^{3,1}=2]"] = 1 / 48
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print("Known Values:")
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print(known_values)
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ring_SDP.update_values(known_values)
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ring_SDP.solve(solve_dual=False)
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# # Inputting values
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# known_values = {"0": 0, "1": 1}
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# known_values["P[A^{1,2}=0]"] = 1 / 4
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# known_values["P[A^{1,2}=0 A^{2,3}=0]"] = 1 / 8
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# known_values["P[A^{1,2}=0 A^{2,3}=1]"] = 1 / 24
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# known_values["P[A^{1,2}=0 A^{2,3}=0 A^{3,1}=0]"] = 1 / 8
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# known_values["P[A^{1,2}=0 A^{2,3}=0 A^{3,1}=1]"] = 1 / 64
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# known_values["P[A^{1,2}=0 A^{2,3}=1 A^{3,1}=2]"] = 1 / 48
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# print("Known Values:")
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# print(known_values)
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#
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# ring_SDP.update_values(known_values)
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# ring_SDP.solve(solve_dual=False)
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from inflation import max_within_feasible
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from sympy import Symbol
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v = Symbol("v")
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known_values_symbolic = {"0": 0, "1": 1}
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known_values_symbolic["P[A^{1,2}=0]"] = 1 / 4
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known_values_symbolic["P[A^{1,2}=0 A^{2,3}=0]"] = v/8 + (1-v)/16
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known_values_symbolic["P[A^{1,2}=0 A^{2,3}=1]"] = v/24 + (1-v)/16
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known_values_symbolic["P[A^{1,2}=0 A^{2,3}=0 A^{3,1}=0]"] = v/8 + (1-v)/64
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known_values_symbolic["P[A^{1,2}=0 A^{2,3}=0 A^{3,1}=1]"] = 1/64
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known_values_symbolic["P[A^{1,2}=0 A^{2,3}=1 A^{3,1}=2]"] = v/48 + (1-v)/64
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max_vis = max_within_feasible(ring_SDP, known_values_symbolic, "dual")
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print("Maximum visibility: ", max_vis)

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