BivectorAI › Evidence › Quantum Error Correction Runtime
Domain Evidence Brief · Quantum Computing · BQIR

Quantum runtime evidence
at 100 billion virtual nodes.

BQIR — BivectorAI Quantum Intermediate Representation — is a sparse QEC runtime stack that connects circuit ingestion, verified code objects, adaptive decoder routing, and implicit O(1) topology. The evidence chain below was built on a Linux server, 8GB RAM, without cloud hardware access.

BQIR là một runtime stack QEC thưa nối liền circuit ingestion, code object đã kiểm chứng, định tuyến decoder thích ứng và topo logy ngầm O(1). Chuỗi bằng chứng dưới đây được xây dựng trên máy Linux, RAM 8GB, không cần phần cứng lượng tử.

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// BivectorAI Evidence Brief — BQIR Quantum Runtime Stack
// Classical simulation / virtual evidence. No quantum hardware.

SCOPE: QEC runtime stack — circuit ingestion → decoder → evidence
INPUT: OpenQASM 2.0 subset, syndrome models, local code objects
OUTPUT: PASS/REVIEW/BLOCK decisions + JSON evidence + audit seal

NOT: Hardware quantum execution or quantum advantage claim
NOT: Global [[N,1,d]] exact-distance proof
NOT: Optimal decoder claim or replacement for Qiskit/Cirq
NOT: Physical qubit fabrication or control electronics

EVIDENCE TYPE: Classical simulation + virtual node stress test
HARDWARE REQUIRED: None — all evidence built on local Linux server
Scale Evidence

100 billion virtual QEC nodes.
8GB RAM. Local Linux server.

The BQIR implicit O(1) topology layer was stress-tested at 100B virtual nodes without materializing a global sparse graph — avoiding the memory boundary that conventional materialized CSR storage would hit.

Lớp topo logy ngầm O(1) của BQIR được stress-test tại 100B node ảo mà không vật chất hóa đồ thị thưa toàn cục — tránh được giới hạn bộ nhớ mà CSR thông thường sẽ gặp.

100B Virtual QEC nodes
O(1) implicit topology PASS Node QEC ảo · topo logy ngầm O(1) PASS
200B Virtual sparse edges
No global graph materialized Cạnh thưa ảo · không vật chất hóa đồ thị toàn cục
8GB RAM — local Linux server
No cloud or quantum hardware RAM · máy Linux cục bộ · không cloud hay phần cứng lượng tử
12/12 QASMBench circuits parsed
vs Qiskit 9/12 in same bounded set Circuit QASMBench phân tích được · so với Qiskit 9/12 cùng tập
0 Review / residual-syndrome failures
at 100B virtual node run Lỗi review / residual-syndrome tại lần chạy 100B node ảo
CLASSICAL SIMULATION ONLY All evidence is classical runtime / virtual stress test. No quantum hardware. No quantum advantage claim. Toàn bộ bằng chứng là classical runtime / stress test ảo. Không phần cứng lượng tử. Không tuyên bố quantum advantage.
BQIR Stack Architecture

Not a single benchmark script.
A modular QEC runtime stack.

BQIR connects eight layers from circuit input to customer-safe evidence reporting. Each layer has a defined evidence boundary.

BQIR kết nối tám lớp từ circuit đầu vào đến báo cáo bằng chứng an toàn với khách hàng. Mỗi lớp có ranh giới bằng chứng xác định.

01

QASM / Circuit / Syndrome Input

Input normalization only · no hardware claim

Parse OpenQASM 2.0 subset, validate syntax, bind layout, extract stabilizer checks and syndrome model.

Phân tích OpenQASM 2.0 subset, kiểm tra cú pháp, bind layout, trích xuất syndrome model.
02

Code Object Loader & Verification

Local code-object evidence · no global [[N,1,d]] proof

Load verified local code objects: RIQG [...]. Each code object carries its own evidence boundary.

Tải code object đã kiểm chứng: RIQG [...]. Mỗi code object mang ranh giới bằng chứng riêng.
03

Dynamic Decoder API

Runtime API evidence only

Code-object-agnostic decoder interface with syndrome request/result contract, metrics, and telemetry. Decoupled from any specific decoder implementation.

Giao diện decoder agnostic với code object — contract syndrome request/result, metrics và telemetry.
04

Adaptive Decoder Router

Routing evidence only · no optimal decoder claim

Routes by syndrome density and structure. Low-density syndromes go to fast path; high-density or correlated cases go to Tier-2 fallback. Telemetry exported at each routing decision.

Định tuyến theo mật độ và cấu trúc syndrome. Mật độ thấp → fast path; mật độ cao / tương quan → Tier-2 fallback.
05–06

Fast Path + Production Tier-2 Cluster Decoder

Local decoder evidence · no global optimum claim

Fast path: low-latency lookup / local decoder for simple syndrome cases. Tier-2: local cluster fallback for higher-density or correlated hard cases. Both emit evidence records.

Fast path: lookup / decoder cục bộ cho syndrome đơn giản. Tier-2: fallback cluster cục bộ cho syndrome mật độ cao.
07

Implicit / O(1) Topology Layer — KEY INNOVATION

Virtual topology evidence · no physical 100B claim

Local topology is computed on demand without storing a global sparse graph. This is the architectural decision that allowed BQIR to pass 100B virtual-node stress testing on 8GB RAM — where conventional materialized CSR graph storage would exhaust memory at the 1B boundary.

Topo logy cục bộ được tính theo yêu cầu mà không lưu trữ đồ thị thưa toàn cục. Đây là quyết định kiến trúc cho phép BQIR vượt qua stress test 100B node ảo trên RAM 8GB.
EVIDENCE: 1B nodes → BOUNDARY at materialized CSR · 1B → 10B → 100B with implicit O(1) topology → PASS · Zero review cases · Zero residual-syndrome failures
08

Evidence, Benchmark & Customer-Safe Reporting

Evidence reporting · no overclaim

Emits JSON, stdout, time/RSS logs, closure audits, and customer-safe reports. Every run produces a reproducible, hash-sealed evidence artifact.

Xuất JSON, stdout, log time/RSS, closure audit và báo cáo an toàn với khách hàng. Mỗi lần chạy tạo ra artifact bằng chứng có thể tái lập, được niêm phong bằng hash.
OpenQASM Compiler Audit

BivectorAI 12/12.
Qiskit 9/12.

The BQIR GA-ISA compiler was benchmarked against Qiskit 2.4.2 on a bounded public QASMBench subset of 12 circuits totaling 1,298,579 static QASM instructions.

BivectorAI static QASM evidence coverage passed 12/12 circuits with zero unknown operations. The 3 Qiskit failures occurred on QAOA_3SAT QASMBench cases and were classified as Qiskit QASM parser limitations — reproduced and confirmed by fixture regression.

BivectorAI đạt 12/12 circuit với zero unknown op. 3 lỗi Qiskit xảy ra ở QAOA_3SAT và được phân loại là giới hạn parser của Qiskit — đã tái hiện bằng fixture regression.
CLAIM BOUNDARY: This is a bounded coverage/evidence claim only. It does not claim BivectorAI is a better compiler optimizer than Qiskit. It does not claim quantum advantage.
GA-ISA Compiler — What It Does

OpenQASM → geometric evidence stream.

INPUT OpenQASM 2.0 circuit with standard gate set: single-qubit and two-qubit gates, measurement
SINGLE-QUBIT GATE LAYER Each single-qubit gate is lowered into a BivectorAI geometric instruction with causal validation. Valid gate → PASS.
TWO-QUBIT GATE LAYER Two-qubit entangling gates pass through a geometric causal gate check. Gates that violate causal structure → BLOCK.
MEASUREMENT LAYER Measurement instructions are lowered to evidence-sealed events with cryptographic hash per operation.
OUTPUT JSON instruction stream with causal status, geometric validation result, and evidence hash per instruction. Core geometric internals are protected.
Code Comparison Evidence

RIQG [[6,1,3]] vs Surface [[9,1,3]].
Same distance. Different geometry.

BivectorAI built a comparative evidence pack showing the structural differences between RIQG-based codes and standard surface codes at the same distance d=3. This is not a performance superiority claim — it is a geometric structural comparison with declared boundaries.

BivectorAI xây dựng gói bằng chứng so sánh cấu trúc giữa mã RIQG và mã surface chuẩn cùng khoảng cách d=3. Đây không phải tuyên bố vượt trội — đây là so sánh cấu trúc hình học với ranh giới khai báo.

RIQG [[6,1,3]]

Relational Bivector Code

  • · 6 physical qubits, 1 logical, distance 3
  • · Bivector-structured stabilizers
  • · Causal geometric structure preserved
  • · Pentagon unit cell geometry
  • · Native BivectorAI geometric instruction compatibility
  • · Verified via BQIR code object loader
6 qubit vật lý, 1 logic, khoảng cách 3 · cấu trúc stabilizer hình học · hình học tế bào ngũ giác.
SURFACE [[9,1,3]]

Standard Surface Code

  • · 9 physical qubits, 1 logical, distance 3
  • · Planar stabilizer structure
  • · Grid lattice geometry
  • · Well-studied, widely deployed
  • · Used as comparative baseline in BQIR benchmark
  • · Not a target to "beat" — a reference structure
9 qubit vật lý, 1 logic, khoảng cách 3 · cấu trúc stabilizer phẳng · hình học lưới. Được dùng làm baseline tham chiếu trong benchmark BQIR.
CLAIM BOUNDARY: This comparison is geometric structural evidence only. BivectorAI does not claim RIQG [[6,1,3]] outperforms Surface [[9,1,3]] on any physical hardware. No threshold theorem proof. No fault-tolerance certification. Not a claim of superior error correction.
Evidence Chain — What Was Built

Every milestone. Every boundary.

PASS
1B materialized CSR → boundary signal Conventional sparse graph materialization hit memory boundary at 1B nodes. Correctly identified and documented.
PASS
1B implicit O(1) topology → PASS Switched to implicit topology. 1B virtual nodes PASS without graph materialization.
PASS
RIQG10 implicit block topology at 1B physical-qubit scale RIQG [[10,1,4]] local block template evidence at 1B scale. No block graph materialization.
PASS
10B virtual nodes → PASS Scale stress test at 10B virtual QEC nodes. Zero review cases. Zero residual failures.
PASS
100B virtual nodes → PASS · 8GB RAM 100B virtual QEC nodes, 200B virtual sparse edges. Zero review cases. Zero residual-syndrome failures. Peak RSS within 8GB local Linux server.
PASS
OpenQASM compiler audit 12/12 (vs Qiskit 9/12) GA-ISA compiler passed 12/12 bounded QASMBench circuits. Qiskit 2.4.2 passed 9/12 in the same set. 3 Qiskit failures classified as QASM parser limitations.
PASS
Product Pack V3 ZIP — customer-safe evidence pack Customer-safe ZIP: 100B evidence, Surface comparison, hardware adapter contract, mock backend flow. 16 entries, hash-sealed, integrity verified.
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Discuss quantum runtime infrastructure, QEC evidence, or research collaboration.

All evidence is classical simulation only. No hardware access required for first contact.

Toàn bộ bằng chứng là classical simulation. Không cần quyền truy cập phần cứng cho liên hệ đầu tiên.

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