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THE "3=4" PRINCIPLE IN QUANTUM COMPUTING: HYBRID STRUCTURAL ADDRESSING OF MULTIDIMENSIONAL REGISTERS WITHOUT DIGITAL SIGNAL PROCESSING

Aleksandr Aleksandrovich Chepkasov

Published Sep 2, 2026• 0 citations
Publisher

Abstract

This paper introduces an extension of the fundamental AxisAura coordinate-space paradigm into the domain of quantum information science. Modern quantum computing complexes utilizing superconducting qubits face a critical scalability barrier regarding their control electronics. The classical hardware-software pipeline for microwave pulse generation, which relies heavily on Digital Signal Processing (DSP) mathematics to dynamically control phase and amplitude characteristics, introduces a colossal thermal load inside the cryostat, triggering qubit decoherence. The proposed architecture completely eliminates DSP blocks from the control loop. Utilizing the formalized "3=4" Principle, a classical 24-bit task vector is isomorphically projected onto a microwave beam consisting of 4 orthogonal frequency components. Inside the cryostat, a passive superconducting filter bank performs de-multiplexing of the beam, executing passive physical addressing of the target quantum state within a multidimensional register in fixed O(1) time with zero computational heat dissipation near the quantum chip.

DOI
10.5281/zenodo.22243492

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This paper introduces an extension of the fundamental AxisAura coordinate-space paradigm into the domain of quantum information science. Modern quantum computing complexes utilizing superconducting qubits face a critical scalability barrier regarding their control electronics. The classical hardware-software pipeline for microwave pulse generation, which relies heavily on Digital Signal Processing (DSP) mathematics to dynamically control phase and amplitude characteristics, introduces a colossal thermal load inside the cryostat, triggering qubit decoherence. The proposed architecture completely eliminates DSP blocks from the control loop. Utilizing the formalized "3=4" Principle, a classical 24-bit task vector is isomorphically projected onto a microwave beam consisting of 4 orthogonal frequency components. Inside the cryostat, a passive superconducting filter bank performs de-multiplexing of the beam, executing passive physical addressing of the target quantum state within a multidimensional register in fixed O(1) time with zero computational heat dissipation near the quantum chip.
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For superconducting quantum processors, microwave signals are delivered to each qubit from room-temperature electronics to the cryogenic environment through coaxial cables. Limited by the heat load of cabling and the massive cost of electronics, such an architecture is not viable for millions of qubits required for fault-tolerant quantum computing. Monolithic integration of the control electronics and the qubits provides a promising solution, which, however, requires a coherent cryogenic microwave pulse generator that is compatible with superconducting quantum circuits. Here, we report such a signal source driven by digital-like signals, generating pulsed microwave emission with well-controlled phase, intensity, and frequency directly at millikelvin temperatures. We showcase high-fidelity readout of superconducting qubits with the microwave pulse generator. The device demonstrated here has a small footprint, negligible heat load, great flexibility to operate, and is fully compatible with today's superconducting quantum circuits, thus providing an enabling technology for large-scale superconducting quantum computers.
As superconducting and silicon-spin quantum processors scale from hundreds to thousands of physical qubits, the interconnect bottleneck between room-temperature classical electronics and mK cryogenic quantum processors poses a critical physical and architectural barrier. Low-latency control loops—essential for Quantum Error Correction (QED), fast reset protocols, and adaptive quantum algorithms—are strictly constrained by thermal load budgets, speed-of-light signal latency across thermal stages, and the bandwidth limits of coax lines. This paper presents a detailed architectural framework for next-generation quantum-classical interfaces. We investigate the transition from traditional, room-temperature arbitrary waveform generators (AWGs) connected via coaxial lines to co-integrated, cryo-CMOS, and single-flux-quantum (SFQ) digital-to-analog and digital signal processing control layers operating directly at the 4 K and 20 mK stages. We evaluate thermal transport, power dissipation, signal attenuation, and physical routing constraints, proposing a heterogeneous hybrid-control topology that satisfies latency budgets below 100 ns while remaining within the tight thermal limits of modern dilution refrigerators.
Universal fault-tolerant superconducting quantum computers are expected to require millions of physical qubits; yet extending the prevailing dedicated-control-line paradigm to this scale would exceed the wiring density and cooling-power budget of dilution refrigerators. Microwave frequency-division multiplexing (FDM) revolutionized classical communications by enabling many independent channels to share common transmission infrastructure. Translating this principle to superconducting quantum control, however, requires an all-microwave architecture and experimental validation of frequency-multiplexed gate control. Recent work in quantum error correction has demonstrated microwave-based readout, single-qubit gates and leakage suppression, whereas two-qubit gates remain predominantly driven by unipolar pulses and thus constitute the missing element of an all-microwave architecture. Here, we propose a periodically extensible hybrid multiplexing framework in which all gate operations are frequency-division multiplexed using polychromatic microwave pulses and band-pass filters, thereby reducing the required control-line count by one to two orders of magnitude. In a 1:4 demonstration, we achieve average errors of (6.4±0.2)×10−3(6.4\pm0.2)\times10^{-3}(6.4±0.2)×10−3 for parallel FDM CZ gates and (10.6±0.2)×10−4(10.6\pm0.2)\times10^{-4}(10.6±0.2)×10−4 for parallel FDM XY(π/2)XY(π/2)XY(π/2) gates, without statistically significant multiplexing-induced degradation. Together with on-chip DC sources, this FDM-based gate-control scheme completes the last missing module in a scalable multiplexed-control architecture toward universal fault-tolerant quantum computing.
Scaling superconducting quantum processors to large qubit counts faces challenges in control-signal delivery, thermal management, and hardware complexity, particularly in achieving microwave signal multiplexing and long-distance quantum information routing at millikelvin temperatures. We propose a space-time modulated Josephson-junction metasurface architecture to generate and multiplex microwave control signals directly at millikelvin temperatures. Theoretical and numerical results demonstrate the generation of multiple frequency tones with controlled parameters, enabling efficient and scalable qubit control while minimizing thermal loads and wiring overhead. We derive the nonlinear wave equation governing this system, simulate beam steering and frequency conversion, and discuss the feasibility of experimental implementation. These results lay the groundwork for a next-generation cryogenic signal-delivery paradigm that may enable scaling of superconducting quantum processors to thousands of qubits without overwhelming limited dilution-refrigerator cooling power.
The advancement of scalable quantum information processing relies on the accurate and parallel manipulation of a vast number of qubits, potentially reaching into the millions. Superconducting qubits, traditionally controlled through individual circuitry, currently face a formidable scalability challenge due to the excessive use of wires. This challenge is nearing a critical point where it might soon surpass the capacities of on-chip routing, I/O packaging, testing platforms, and economically feasible solutions. Here we introduce a multiplexed control scheme that efficiently utilizes shared control lines for operating multiple qubits and couplers. By integrating quantum hardware-software co-design, our approach utilizes advanced techniques like frequency multiplexing and individual tuning. This enables simultaneous and independent execution of single- and two-qubit gates with significantly simplified wiring. This scheme has the potential to diminish the number of control lines by one to two orders of magnitude in the near future, thereby substantially enhancing the scalability of superconducting quantum processors.