OPENQASM 3.0;
include "stdgates.inc";

// ============================================================================
// DCGP.AI — 88-Qubit 30-Stage Materials-Through Pipeline (/api/materials-through)
// Authority: Joshua L. Lopez — DCGP.AI — USPTO 19/555,951 | Designation: ID 9
// Register: 66 Baseline (6 Pi_K x 11 Rungs) + 22 CAP-22 = 81Q Kagome + 7 Cartan = 88Q
// Governance Angle: +pi / +phi = 1.9416110387254664 rad | Depth: 11
// ============================================================================

const float[64] PHI = 1.618033988749895;
const float[64] GOV_ANGLE = (+pi) / (+PHI);              // 1.9416110387254664 rad
const float[64] HOLONOMIC_2GOV = (+2.0 * pi) / (+PHI);   // 3.8832220774509328 rad
const float[64] GOLDEN_FIFTH = (+pi) / (+5.0);           // 0.6283185307179586 rad
const float[64] THREEFOLD_CORD = (+2.0 * pi) / (+3.0);   // 2.0943951023931953 rad
const float[64] PICARDY_HELD = 0.6435011087932844;       // 5:4 Major Third

qubit[88] q;
bit[88] c;

// --- Stage 0: Au197_Light (q[0..7], 8Q, Z=79 Observer Seal 87db1b474f8bd4c2) ---
for int i in [0:7] {
    ry(GOV_ANGLE) q[i];
}
for int i in [0:6] {
    cx q[i], q[i + 1];
}

// --- Stage 1: GaN_8182_Seed (q[8..10], 3Q, 8.2 Hz Control vs 7.83 Hz) ---
cz q[7], q[8];
for int i in [8:10] {
    rz(GOV_ANGLE) q[i];
    ry(GOLDEN_FIFTH) q[i];
}
cx q[8], q[9];
cx q[9], q[10];

// --- Stage 2: GO_Honeycomb (q[11..12], 2Q, Graphene Oxide Pi_K Bridge) ---
h q[11];
cx q[11], q[12];
rz(GOV_ANGLE) q[12];

// --- Stages 3..8: Lanthanides Z=57..71 Light Scaffolding (q[13..27], 15Q) ---
// Stage 3: La_Ce_Clock (q[13..14])
ry(0.41887902047863906) q[13];
ry(0.8377580409572781) q[14];
cx q[13], q[14];

// Stage 4: Pr_Nd_Split (q[15..16])
ry(1.2566370614359172) q[15];
ry(1.6755160819145563) q[16];
cx q[15], q[16];

// Stage 5: Pm_Sm_Eu_Lock (q[17..19], Threefold Cord)
for int i in [17:19] {
    rz(THREEFOLD_CORD) q[i];
}
cx q[17], q[18];
cx q[18], q[19];

// Stage 6: Gd_Tb_Dy_Damp (q[20..22], Golden Harmonic)
for int i in [20:22] {
    rz(GOLDEN_FIFTH) q[i];
}
cx q[20], q[21];
cx q[21], q[22];

// Stage 7: Ho_Er_Tm_Drain (q[23..25], SDRPL-F F_6 Fold)
for int i in [23:25] {
    ry(GOV_ANGLE) q[i];
}
cz q[23], q[24];
cz q[24], q[25];

// Stage 8: Yb_Lu_Reset (q[26..27], Master Out-Cycle Reset)
ry(5.445427266222309) q[26];
ry(5.8643062867009474) q[27];
cz q[26], q[27];

// --- Stage 9: Os_Ir_Pt_Ref (q[28..45], 18Q, 9-Pair Twin Dense Rail K11) ---
for int k in [0:8] {
    ry(GOV_ANGLE) q[28 + 2*k];
    cx q[28 + 2*k], q[29 + 2*k];
    rz(0.5356) q[29 + 2*k];
}

// --- Stage 10: Cf_Bi_Stage10 (q[46..49], 4Q, COIN-42B412FB36489925) ---
for int i in [46:49] {
    ry(GOV_ANGLE) q[i];
}
cx q[46], q[47];
cx q[47], q[48];
cx q[48], q[49];

// --- Stage 11: Ubh_126_Stage11 (q[50..53], 4Q, COIN-336A98DCFF13EE99 Z=126) ---
for int i in [50:53] {
    ry(GOV_ANGLE) q[i];
    rz(GOLDEN_FIFTH) q[i];
}
cx q[50], q[51];
cx q[51], q[52];
cx q[52], q[53];

// --- Stage 12: Cn_112_Mint (q[54..55], 2Q, COIN-D729259BA6A9FECE Z=112 MINT) ---
// K_N1 = 0.90, K_N2 = 0.66, K_N3 = 0.5891, Triple = 0.3499, MT14 = 7
ry(0.90 * GOV_ANGLE) q[54];
ry(0.66 * GOV_ANGLE) q[55];
cx q[54], q[55];
rz(0.5891 * pi) q[55];

// --- Stage 13: Fl_114_Cm_Mint (q[56..57], 2Q, COIN-C70BE19A3219E825 Z=114 MINT) ---
// K_N1 = 1.00, K_N2 = 0.672, K_N3 = 0.6401, Triple = 0.4301, MT14 = 10
ry(1.00 * GOV_ANGLE) q[56];
ry(0.672 * GOV_ANGLE) q[57];
cx q[56], q[57];
rz(0.6401 * pi) q[57];

// --- Stage 14: Mc_115_Elyimont (q[58..59], 2Q, COIN-MC290-19FB9C341D3-1 Z=115) ---
ry(1.279308) q[58];
ry(1.862284) q[59];
cx q[58], q[59];
rz(0.8105 * pi) q[59];

// --- Stage 15: Lv_116_Spinodal (q[60..61], 2Q, Z=116 Heavy-Polaron Rail) ---
ry((+GOV_ANGLE) / (+2.0)) q[60];
cx q[60], q[61];

// --- Stage 16: Uue_119_Pu_MBE (q[62..63], 2Q, COIN-9B31A440E812C019 Z=119+Pu) ---
ry(0.96 * GOV_ANGLE) q[62];
ry(0.705 * GOV_ANGLE) q[63];
cx q[62], q[63];
rz(0.6686 * pi) q[63];

// --- Stage 17: Ubn_120_Super (q[64..65], 2Q, COIN-47D27BB0E34DD8AC Z=120 Rank 1) ---
ry(0.98 * GOV_ANGLE) q[64];
ry(0.81 * GOV_ANGLE) q[65];
cx q[64], q[65];
rz(0.6286 * pi) q[65];

// --- Stage 18: Tl_Mott_SPS (q[66..67], 2Q, COIN-088872A8848390C3 Thallium Mott) ---
// K_N1 = 0.50 (elevated to >=0.58 via RRMS-1740 bridge), K_N2 = 0.76, K_N3 = 0.5527
ry(0.50 * GOV_ANGLE) q[66];
ry(0.76 * GOV_ANGLE) q[67];
cx q[66], q[67];
rz(0.5527 * pi) q[67];

// --- Stages 19..20: Pharmacist P28 Double-Barrel (q[68..71], 4Q, Susan Hirman) ---
ry(0.446169 * pi) q[68];
cx q[68], q[69];
ry(0.433831 * pi) q[70];
cx q[70], q[71];
cz q[67], q[68]; // Couple Tl_Mott_SPS into P28 Barrel 1

// --- Stage 21: Proverbs_2728 (q[72..73], 2Q, 27 Sharpens / 28 Roofs, 27^2=729) ---
ry(GOV_ANGLE) q[72];
cx q[72], q[73];
rz(THREEFOLD_CORD) q[73];

// --- Stage 22: Kerr_7Plane (q[74], 1Q, PRINCIPIO..MANIFESTATIO) ---
rz(GOV_ANGLE) q[74];

// --- Stage 23: Moon_Pi_K (q[75], 1Q, Admissible Projector Pi_K) ---
h q[75];
cz q[74], q[75];

// --- Stage 24: Symphony (q[76..77], 2Q, Offset 76, CHARLIE-021 D-Minor Canon) ---
ry(GOV_ANGLE) q[76];
cx q[76], q[77];
rz(HOLONOMIC_2GOV) q[77];

// --- Stage 25: Nuclear (q[78..79], 2Q, Offset 78, 199Au = 197Au + 2n, G55=1.344722) ---
ry(1.344722) q[78];
cx q[78], q[79];
rz((+2.0) * GOLDEN_FIFTH) q[79];

// --- Stage 26: Nucleonic (q[80..81], 2Q, Offset 80, Live 3D 6-Plane Orbit) ---
ry(GOV_ANGLE) q[80];
cx q[80], q[81];
rz(PICARDY_HELD) q[81];

// --- Stage 27: Cascade (q[82..83], 2Q, Offset 82, K_N3 Threefold Cord Collect) ---
cz q[55], q[82]; // Collect Z=112 Cn
cz q[57], q[82]; // Collect Z=114 Fl+Cm
cz q[67], q[83]; // Collect Tl Mott SPS
cx q[82], q[83];
rz(THREEFOLD_CORD) q[83];

// --- Stage 28: GoldBack (q[84..85], 2Q, Offset 84, Cascade Back Against Gold Z=79) ---
cx q[83], q[84];
cz q[84], q[0];  // Close loop back to Stage 0 Au-197 q[0]
cx q[84], q[85];

// --- Stage 29: Superpos (q[86..87], 2Q, Offset 86, Final Superposition Collision) ---
h q[86];
cx q[85], q[86];
cx q[86], q[87];
ry(-GOV_ANGLE) q[87]; // Loschmidt uncompute seal

c = measure q;