Multi-Quantum Mode (MQM)-PAM_OFDM_Phase-superposition_3D-mapping(Prior Art, 2026.03.04)

Abstract This technical note introduces the Multi-Quantum Mode (MQM), a novel data transmission algorithm designed to maximize throughput by simultaneously encoding binary data across three physical dimensions: Frequency (n bits), Amplitude (m bits), and Phase (p bits). By utilizing a 3D-mapping approach, the MQM algorithm achieves a theoretical throughput defined by the core formula: Data Throughput = [ ( n + m bits) x 2^p ]/cycle This method effectively optimizes spectral efficiency by exploiting phase-superposition, offering a robust alternative to conventional PAM-OFDM-phase architectures. Item Value Conventional HBM3e Bandwidth ~1.2 TB/s MQM HBM4 Theoretical Bandwidth ~1 PB/s ( Frequency (8 bits), Amplitude (8 bits), Phase (8 bits) ) Multiplier ~833× Crazy MQM ~64 PB/s( Frequency (8 bits), Amplitude (8 bits), Phase (14 bits) ) = 2^56 bits/s ( which is theoretically comparable to a 56–60 Qubit-scale data throughput capacity.) "While Google's Willow required a multi-billion dollar investment to reach 105 Qubits,MQM delivers equivalent-scale data throughput (~56–60 Qubit-capacity) by integratinga single compact MQM encoder/decoder IP block into existing CPU and HBM architectures — no redesign required." * Intellectual Property Block : IP block[n th CPU/GPU core ] → [MQM Encoder IP] → wire → [MQM Decoder IP] → [HBM4 or all electronics][HPM4 or all electronics] → [MQM Encoder IP] → wire → [MQM Decoder IP] → [ n th CPU/GPU core ] ------------------------------------------------------------------------ CPU / GPU / NPU┌────────────────────────┐│ ┌─────────┐ ┌─────────┐ ││ │ Core 1 ...... │ │ Core n │ ││ └────┬────┘ └────┬────┘ ││ │ │ ││ ┌────┴────┐ ┌────┴────┐ ││ │ MQM │ │ MQM │ ││ │ ENC/DEC │ │ ENC/DEC │ ││ └────┬────┘ └────┬────┘ │└─────┼───────────┼──────┘ ↕ ↕ ══════╪═══════════╪═════ Existing wire (unchanged)══════╪═══════════╪═════ ↕ ↕ ┌─────┼───────────┼─────┐│ ┌────┴────┐ ┌────┴────┐││ │ MQM │ │ MQM │││ │ ENC/DEC │ │ ENC/DEC │││ └────┬────┘ └────┬────┘ ││ │ │ ││ ┌────┴────┐ ┌────┴────┐ ││ │ HBM4 / │ │ HBM4 / │ ││ │All Elec │ │All Elec │ ││ └─────────┘ └─────────┘ │└────────────────────────┘ HBM4 / All Electronics image Files : 3-1. CPU_HBM_ALL electronics.png ( CPU / GPU / NPU <=> HBM ) 3-2. CPU_HBM_ALL electronics.png ( All electronics <=> optic fiber/wire <=> all electronics ) 6. MQM_ALU_Wave Compute(26.03.13)2-1.jpg ç====== MQM ALU 6. MQM_ALU_Wave Compute(26.03.13)2-2.jpg ç====== MQM ALU "MQM eliminates the fundamental premise of on-chip HBM integration. When existing wires deliver 128 ( Frequency (8 bits), Amplitude (8 bits), Phase (3 bits) )x bandwidth improvement through multi-dimensional encoding, physically stacking HBM on the GPU die becomes an unnecessary cost, thermal, and maintainability burden." "By decoupling HBM from the GPU die via MQM interconnect, each component becomes independently replaceable — GPU failure requires only GPU replacement, and HBM failure requires only HBM replacement." ------------------------------------------------------------------------ Theoretical Framework and Throughput Specification: The proposed MQM architecture defines each data symbol as a function of Frequency (F), Amplitude (A), and Phase (P). The core signal transformation is expressed by the wave equation: S(t)=Asin(2πft+ϕ) By mapping bit-depths to each physical parameter—Amplitude (8 bits), Frequency (8 bits), and Phase state(8 bits)—the system transcends traditional binary constraints. The data density is calculated as (8+8) x 2^8 = 4,096 bits per wire per cycle. ------------------------------------------------------------------------ ▷ Data Transmission Analysis for Phase 1 The following table outlines the binary data transmission during the Phase 1 operation, mapping the bit streams to their corresponding decimal values and ASCII interpretations. Phase 1: Data TransmissionMapping Table TransmissionComponent Binary Sequence Decimal Value Option A( Freq-primary) Option B ( Amp-primary ) Byte 1 (MSB) 01001001 73 73 Hz x ASF 73 mv x ASF Byte 2 (LSB) 01010101 85 85 mv x SF 85 Hz x SF (Note: SF or ASF denotes the system-specific Scaling Factor.) Phase 1 Transmission Protocol : (SF = ASF =1) ( binary) 01001001 01010101 Option A (Freq-Primary): 73 Hz carrier with 85 mV modulation => 73 Hz on 85 mv Option B (Amp-Primary): 73 mV carrier with 85 Hz modulation => 73 mv on 85 Hz "Practical Implementation-Ready: This work includes precise physical-layer data conversion benchmarks (Byte 1: 73, Byte 2: 85),allowing for direct translation from theoretical 3D-mapping models to actionable hardware protocols." ☞ Technical Implementation Notes • Parameter Scaling: The raw decimal values (73 and 85) serve as the base digital units. The final physical output is derived by multiplying these values with the system-specific Scaling Factor to account for sensor sensitivity and calibration. • Interpretation Methodology: Depending on the target sensor module, the system interprets the byte value either in the frequency domain (Hz) for oscillation analysis or in the voltage domain (mV) for bio-potential measurements. •Data Integrity: Ensure that the scaling factor remains synchronized between the transmitter and the receiver to maintain precision in signal reconstruction. ------------------------------------------------------------------------ Technical Specifications for MQM Throughput in HBM4 Interface: This study proposes a high-density data transmission logic utilizing the HBM4 2048-wire (channel) architecture. By integrating Frequency, Amplitude, and Phase modulation, the system achieves the following throughput: Modulation Parameters: Frequency (8 bits), Amplitude (8 bits), Phase (8 bits) Per-Wire Throughput Logic: (8 bits Frequency + 8 bits Amplitude) x 2^8 (Phase states) = 4,096 bits/cycle Channel Scaling: 64 wires (Channels): 64 x 4,096 bits/cycle = 262,144 bits/cycle = 32 KB/cycle 2048 wires (Full HBM4): 2,048 x 4,096 bits/cycle = 8,388,608 bits/cycle = 1MB/cycle Performance Metrics at 1 GHz Clock Frequency: 64-wire Channel: Provides 32 KB/cycle, achieving a bandwidth of 32 GB/s. 2048-wire Interface: Provides 1 MB/cycle, achieving a total bandwidth of 1 PB/s (Petabyte per second). => schema : MQM_final(2026.03.07).jpg, MQM_table(2026_03_09).jpg Item Value Conventional HBM3e Bandwidth ~1.2 TB/s MQM HBM4 Theoretical Bandwidth ~1 PB/s ( Frequency (8 bits), Amplitude (8 bits), Phase (8 bits) ) Multiplier ~833× Crazy MQM ~64 PB/s( Frequency (8 bits), Amplitude (8 bits), Phase (14 bits) ) = 2^56 bits/s ( which is theoretically comparable to a 56–60 Qubit-scale data throughput capacity.) This architecture enables deterministic, ultra-high-speed data streaming, effectively eliminating memory bottlenecks in large-scale neural network databases. This document is released as Prior Art (2026.03.04) to serve the research community by establishing public domain accessibility and preventing restrictive third-party patent claims. The authors waive all patent rights; this work is strictly open-source. Author: Sungtae Park (scwpark) | [email protected]: Hyunuk Pak | [email protected]: EunHwan Park | [email protected] GitHub: https://github.com/scwpark/MQM-PAM_OFDM_Phase-superposition_3D-mappingCommunity: https://cafe.daum.net/scwpark https://blog.naver.com/namyangju_first/223768176061