What are the requirements for microwave cables and connectors operating at millikelvin temperatures?
Cryogenic Microwave Interconnects
The choice of cables and connectors at millikelvin temperatures directly affects the quantum computer performance: lossy cables degrade readout SNR, thermally conductive cables limit the number of qubits (by exceeding the MXC cooling power), and unreliable connectors cause intermittent failures that are extremely difficult to diagnose in a sealed cryogenic system.
Frequently Asked Questions
How many cables can a dilution refrigerator support?
Limited primarily by the MXC cooling power and physical space: MXC cooling power: 10-20 μW at 20 mK (standard Bluefors LD400). Heat per SS coax cable (4K to MXC): ~0.005-0.01 μW (well thermally anchored). Maximum cables from heat budget: 1000-4000 (thermal limit alone). Physical space: the refrigerator plates and still have finite area for cable routing, thermal anchoring, and component mounting. Practical limit: 200-500 cables for a standard DR, 500-2000 for a large-format DR (Bluefors XLD, Oxford Proteox). For quantum computers with 1000+ qubits: multiple DRs, cryogenic multiplexing (one cable serving multiple qubits via frequency/time multiplexing), or cryo-CMOS controllers at 4K (reducing the cable count between 4K and MXC) are needed.
What is the maximum frequency for cryogenic cables?
Standard SMA-connectorized stainless steel semi-rigid coax operates reliably to 18 GHz at cryogenic temperatures. At higher frequencies: use 2.92 mm (K) connectors for operation to 40 GHz, or 2.4 mm connectors for 50 GHz. Above 50 GHz: waveguide is preferred (WR-15 for 50-75 GHz). Cryogenic waveguide components are available from custom manufacturers but are bulky and expensive. For quantum computing: most signals are in the 4-8 GHz range, well within SMA cable capability. Some applications (high-frequency qubits, mm-wave readout) may extend to 12-18 GHz, still within standard cryogenic coax range. Calibration note: cable S-parameters change between room temperature and base temperature (connector and cable contraction, dielectric constant change). Calibrate the system at the operating temperature for accurate measurements.
Can fiber optics replace coaxial cables in cryostats?
Fiber optics are a promising alternative for reducing heat load: thermal conductivity of silica fiber = 1.3 W/m·K at 300K, 0.01 W/m·K at 4K, much lower than any coaxial cable. A single-mode fiber from 300K to MXC: heat load <0.001 μW. However, converting microwave signals (4-8 GHz) to optical signals and back requires: electro-optic modulators at room temperature, optical-to-microwave converters at millikelvin (extremely challenging), and maintaining coherence through the conversion. Current approaches: (1) Intensity modulation: modulate an optical carrier with the microwave signal, transmit over fiber, detect with a cryogenic photodiode. Demonstrated for control signals with limited fidelity. (2) Frequency comb: generate an optical frequency comb locked to the microwave reference, distribute over fiber, and extract microwave tones at the cold stage using photomixing. Under development. Fiber-optic links are not yet ready to replace coaxial cables for quantum computing but are actively researched by Google, IBM, and academic groups as a scalability enabler.