We recast the three foundational quantum information protocols — quantum teleportation, superdense coding, and the CHSH Bell test — in the language of the Origami Instruction Set Architecture (ISA), and then lift each to its TriQ (3-qubit GHZ) and 6-731 (broken-Fano-line) extensions. In the ISA reading, teleportation is SPLIT;SPLAT with a classical wire, superdense coding is FLIP;FLOP on a Bell pair encoding log2∣G∣ bits via the group G=Z22, and the CHSH violation is a hybrid H¹/H² computation: the Bell pair is a stabiliser (H¹) resource but the Tsirelson-optimal measurement applies a T-gate rotation (H², TWIST=1). We prove that the Tsirelson bound cos2(π/8) equals the total variation of any dark-magic (Tier 1) state in the ISA magic-type classification — the Tsirelson bound is the Wigner mass of the dark-magic sector. Lifting to the TriQ register introduces the ORBIT opcode, raises superdense coding capacity to 3 bits per qubit (log2∣Z23∣), and replaces the CHSH game with the Fano Line Verification Game whose win conditions are the ±1 values of the 6j symbol of Z23. The 6-731 extension (one Fano line weakened to coupling η) makes teleportation directed, reduces superdense capacity to $3
- H(\eta)bitsperqubit,andinterpolatestheFanogamewinprobabilitycontinuouslybetweenclassicalandquantumbounds.Remarkably,thesameasymmetryparameter\etaisindependentlymeasurablebythreemethods—thermodynamicCarnotefficiency(Paper325),information−theoreticchannelcapacity,andgame−theoreticwinprobability—whoseagreementconstitutesaPentagon−identityself−verificationtestforthehardware.WeclosewiththeH^kBelltower:foreachcohomologicaldepthkthereisaBell−typeinequalitywhosemaximumquantumviolationrequiresanH^kresource,providingagame−theoreticladderthatextendsbeyondCHSHthroughtheFanogame(H2)toaconjecturedG_2$-correlation game (H³) accessible only to the 731-ISA SPIN opcode.Appendix B provides side-by-side quantum circuit and ISA spider diagrams for all three baseline protocols. Keywords quantum teleportation, superdense coding, CHSH inequality, Bell test, Tsirelson bound, Origami ISA, H^k cohomology, stabiliser states, magic states, Fano plane, GHZ state, TriQ register, 6-731 architecture, ORBIT opcode, TWIST opcode, topological heat engine, dark magic, Wigner mass, Bell hierarchy, Mermin inequality, Pentagon equation, quantum nonlocality, quantum channel capacity, G2 correlations