Quantum Computing

One of the central challenges in building quantum computers is controlling the interactions between qubits. In trapped-ion architectures, among the most mature approaches in the field, that control comes down to the electrostatic fields produced by trap electrodes.

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The engineering challenge

Ion trap design is an electrostatic problem at large and growing scale. Scaling toward thousands of qubits requires hundreds of trap zones with precise voltage control across thousands of electrodes. Modern microfabricated surface traps pack dozens to hundreds of independently controlled DC electrodes alongside RF electrodes and integrated features like through-substrate vias and optical waveguides.

Predicting the potential each electrode produces, and the cross-talk between them, exceeds what analytic approximations and general-purpose tools can handle at the scale and accuracy these designs require.

Electrode counts are growing from dozens toward hundreds per trap, with thousands ahead

Analytic approximations are unreliable for complex, realistic trap geometries

General-purpose EM tools were not built for electrostatic problems at this scale

Cross-talk between electrodes directly affects qubit control and system performance

The Nullspace solution

Nullspace ES is the world's only commercial electrostatic solver purpose-built for ion trap electrode design. It lets designers rapidly and efficiently optimize the layout and shape of electrodes in ion traps and other architectures, and predict the potential for cross-talk so unwanted interactions can be minimized in design rather than discovered in hardware.

It scales from dozens of electrodes on a laptop to hundreds on a workstation, and its Python interface makes large-scale optimization a routine, automatable step.

Purpose-built to solve trap geometries with hundreds of electrodes at full accuracy

Rigorous electrostatic solutions replace unreliable analytic approximations

Fast direct solving handles problem sizes that general-purpose tools struggle to reach

Cross-talk is predicted and minimized during design, before fabrication

Applications

Ion trap electrode design

Optimize electrode layout and shape across large trap geometries.

Ion trap electrode design

Optimize electrode layout and shape across large trap geometries.

Ion trap electrode design

Optimize electrode layout and shape across large trap geometries.

Cross-talk prediction

Predict and minimize unwanted interactions between electrodes.

Cross-talk prediction

Predict and minimize unwanted interactions between electrodes.

Cross-talk prediction

Predict and minimize unwanted interactions between electrodes.

Surface trap design

- Model microfabricated planar traps with hundreds of controlled electrodes. -

Surface trap design

- Model microfabricated planar traps with hundreds of controlled electrodes. -

Surface trap design

- Model microfabricated planar traps with hundreds of controlled electrodes. -

Large-scale optimization

Run electrode optimization from dozens of electrodes on a laptop to hundreds on a workstation.

Large-scale optimization

Run electrode optimization from dozens of electrodes on a laptop to hundreds on a workstation.

Large-scale optimization

Run electrode optimization from dozens of electrodes on a laptop to hundreds on a workstation.

Workflow integration

Drive parameterized geometries and studies through the Python interface.

Workflow integration

Drive parameterized geometries and studies through the Python interface.

Workflow integration

Drive parameterized geometries and studies through the Python interface.

Other electrostatic systems

Apply the same solver to particle accelerators and related electrostatic design.

Other electrostatic systems

Apply the same solver to particle accelerators and related electrostatic design.

Other electrostatic systems

Apply the same solver to particle accelerators and related electrostatic design.

Built for engineers,
by engineers

Built for engineers,
by engineers

Nullspace was built by the engineers who needed it to work on real deliverables, under real deadlines, on the hardware they already had.

Nullspace was built by the engineers who needed it to work on real deliverables, under real deadlines, on the hardware they already had.

Ease of deployment

All licenses are floating, with a simple licensing model: annual lease or perpetual purchase. No additional charges for GPU or CPU use, and no size limit on models.

Built for secure environments

Air-gapped operation, no internet connection required. CMMC Level 2 compliant - deployed at facilities meeting NIST 800-171 and NIST 800-53 controls. Successfully deployed on multiple classified information systems.

Runs on your existing on-prem hardware

Runs on your existing on-premise hardware, or on AWS and Google Cloud if you prefer.

Customer-driven feature development

Customer-driven feature development and roadmap acceleration, available when your team needs a specific capability sooner.

Nullspace is deployed in the following industries:

Defense

Design radar, communications, and electronic warfare antenna systems for ground vehicles, aircraft, ships, and satellites.

Aerospace

High-fidelity design and co-site analysis of multi-band antenna systems for modern aircraft and space vehicles

Automotive & Autonomous

Simulate the vehicle as a system-of-systems (radar, GPS, WiFi, collision avoidance) and design for electromagnetic compatibility.

Communications & 5G/6G

Design within the full antenna spectrum, from simple patch antennas to complex MIMO phased arrays

Quantum Computing

Optimize the layout and shape of ion trap electrodes, predict cross-talk and minimize unwanted interactions.

Nullspace is deployed in the following industries:

Defense

Design radar, communications, and electronic warfare antenna systems for ground vehicles, aircraft, ships, and satellites.

Aerospace

High-fidelity design and co-site analysis of multi-band antenna systems for modern aircraft and space vehicles

Automotive & Autonomous

Simulate the vehicle as a system-of-systems (radar, GPS, WiFi, collision avoidance) and design for electromagnetic compatibility.

Communications & 5G/6G

Design within the full antenna spectrum, from simple patch antennas to complex MIMO phased arrays

Quantum Computing

Optimize the layout and shape of ion trap electrodes, predict cross-talk and minimize unwanted interactions.

Nullspace is deployed in the following industries:

Defense

Design radar, communications, and electronic warfare antenna systems for ground vehicles, aircraft, ships, and satellites.

Aerospace

High-fidelity design and co-site analysis of multi-band antenna systems for modern aircraft and space vehicles

Automotive & Autonomous

Simulate the vehicle as a system-of-systems (radar, GPS, WiFi, collision avoidance) and design for electromagnetic compatibility.

Communications & 5G/6G

Design within the full antenna spectrum, from simple patch antennas to complex MIMO phased arrays

Quantum Computing

Optimize the layout and shape of ion trap electrodes, predict cross-talk and minimize unwanted interactions.

How much are you leaving on the table?

The studies you skip, the designs you simplify, the deadlines you stretch. What if you didn't have to?