graph LR
    idea_02cb8f06_ff44_462b_a801_8b465c91752f["Qubit"]
    idea_0444d606_f169_4e8f_8e47_903d0f64d3eb["The Controlled-NOT Gate"]
    idea_080185be_ff86_45b9_92c3_34bb1f6b6571["Hermitian, skew-Hermitian, and related matrices"]
    idea_0f046e63_85d5_47f1_be35_ed9cb40fb456["Quantum Teleportation"]
    idea_10867a0c_c2c3_4e61_abd1_c260b4c21220["Unitary Transformations Between Quantum States"]
    idea_248679fe_16e4_4a41_89ad_ae96296e7b12["Qubit Measurement and State Collapse"]
    idea_25a61969_dd8b_460b_ac20_86e7f6e85320["The Pauli-X Quantum NOT Gate"]
    idea_36d26fd8_0153_4535_a460_c54e4683b303["Quantum Gates"]
    idea_36d27226_a87f_45e6_97b2_e4445d781d02["Unitary Time Evolution and the Schrödinger Equation"]
    idea_38a40cef_8ce4_4bbd_af33_00565e8fa094["No-Cloning Theorem"]
    idea_4b03f6eb_e083_495b_a61a_edcbc1a69ffe["Bell States"]
    idea_4bfe76e7_a7e4_416a_b499_c907f4b5916a["Orthonormal Basis States in Hilbert Space"]
    idea_5b8373ca_61ef_414e_be55_eb6aa9ddd03f["Complex Number Arithmetic Operations in Algebraic Form"]
    idea_5fce6a84_047d_406b_b293_ce376dd1d5e4["Single-Qubit Quantum Gates"]
    idea_6a9e03d6_11d4_4e68_bd6b_96b7c17aa6d8["Quantum Entanglement in Quantum Mechanics"]
    idea_85996532_4138_42d9_ac85_27996cd3dba7["Universal Quantum Gate Sets"]
    idea_90fd2ff4_2b1e_4674_a324_6c2436bd31f2["Bra-Ket Notation Fundamentals in Quantum Mechanics"]
    idea_94e4e264_5592_4be6_9463_d0a0a7c2ce2e["No-Cloning Theorem: Proof from Linearity and Unitary Evolution"]
    idea_95498a21_918c_4a64_ba97_2348ea02ed5a["LOCC, teleportation, dense coding, remote state operations, distillation"]
    idea_982e6be3_cb22_4087_adb6_cd8075afa224["Quantum Measurement"]
    idea_b5809f53_ecfa_477d_bf95_9f587c7c9569["Representing Qubit States with Dirac Notation"]
    idea_bd0d1edc_5166_4c4e_adaa_9f618fc7197c["The State Space Postulate of Quantum Mechanics"]
    idea_be01b5e1_0592_4f07_ac03_f004f122aba6["Unitary Matrices Properties in Quantum Mechanics"]
    idea_cdec88a5_c3ce_4a86_bde7_d2d1dc142934["Superdense Coding with Bell States"]
    idea_ec838da1_1ebb_496a_80a8_2ee88b6913ef["Measurement Postulate"]
    idea_ed637fbd_4fc2_4b3c_af23_790e8450005f["Partial Measurement in an Arbitrary Basis"]
    idea_f08a1268_4816_4436_8ea5_a04724d54be7["Quantum Teleportation Protocol: Bell-Pair Entanglement, Classical Communication, and the No-Cloning Constraint"]
    idea_f4139f93_c115_49cd_9c8f_8d6ca477b540["Boolean Algebra & Logic Gates"]
    idea_fe4c36a2_c453_48f6_8cb7_82606e30b58c["Quantum Entanglement as Non-Separable Multi-Qubit State Vectors"]
    idea_ff96df1a_16f8_4dbb_b999_21578ed820aa["Quantum Measurement Theory"]
    idea_fe4c36a2_c453_48f6_8cb7_82606e30b58c --> idea_f08a1268_4816_4436_8ea5_a04724d54be7
    idea_5b8373ca_61ef_414e_be55_eb6aa9ddd03f --> idea_be01b5e1_0592_4f07_ac03_f004f122aba6
    idea_080185be_ff86_45b9_92c3_34bb1f6b6571 --> idea_be01b5e1_0592_4f07_ac03_f004f122aba6
    idea_4b03f6eb_e083_495b_a61a_edcbc1a69ffe --> idea_0f046e63_85d5_47f1_be35_ed9cb40fb456
    idea_982e6be3_cb22_4087_adb6_cd8075afa224 --> idea_0f046e63_85d5_47f1_be35_ed9cb40fb456
    idea_94e4e264_5592_4be6_9463_d0a0a7c2ce2e --> idea_f08a1268_4816_4436_8ea5_a04724d54be7
    idea_be01b5e1_0592_4f07_ac03_f004f122aba6 --> idea_36d26fd8_0153_4535_a460_c54e4683b303
    idea_90fd2ff4_2b1e_4674_a324_6c2436bd31f2 --> idea_4bfe76e7_a7e4_416a_b499_c907f4b5916a
    idea_36d26fd8_0153_4535_a460_c54e4683b303 --> idea_f08a1268_4816_4436_8ea5_a04724d54be7
    idea_38a40cef_8ce4_4bbd_af33_00565e8fa094 --> idea_0f046e63_85d5_47f1_be35_ed9cb40fb456
    idea_02cb8f06_ff44_462b_a801_8b465c91752f --> idea_36d26fd8_0153_4535_a460_c54e4683b303
    idea_f4139f93_c115_49cd_9c8f_8d6ca477b540 --> idea_36d26fd8_0153_4535_a460_c54e4683b303
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