Reliability Redefined in Quantum Computing
We are redefining quantum reliability to be sustainable and accessible. Our aperiodic-based approach minimizes the hardware and energy required for fault-tolerant computation, unlocking a more equitable and powerful future for all.
Advancing Fault-Tolerant Quantum Systems
AperiodiQ is at the forefront of quantum innovation, driven by the conviction that progress must be sustainable and accessible. Our mission is to pioneer fault-tolerant quantum computing by using revolutionary aperiodic-based technology. This approach inherently reduces the physical resources and energy needed, redefining what’s possible while building a more responsible future for technology.

Advancing Fault-Tolerant Quantum Solutions
Explore groundbreaking features for quantum innovation.

Quasicrystal Algorithms
Unlock the potential of quantum systems with advanced algorithms rooted in aperiodic order.

Hardware Optimization
Seamlessly integrate and optimize operations across evolving quantum hardware platforms. Our focus is on creating elegant, resource-efficient integrations. This means less error correction, less energy consumption, and a smaller environmental footprint for quantum hardware.
Quasicrystal Inflation Code
Simulate complex quantum operations using our Quasicrystal Inflation Code (QIC). This novel method not only unlocks complex simulations but does so with greater efficiency, enabling powerful computation on existing hardware and reducing the need for large, energy-intensive systems.
Scalable Quantum Solutions
Achieve scalability and fault tolerance through innovative quasicrystal-based approaches. True scalability requires sustainability. Our quasicrystal-based approaches provide a path to fault-tolerance that is not just mathematically sound, but also physically and environmentally viable for real-world application.
Pioneering Fault-Tolerant Quantum Computing
Discover our innovative solutions that empower quantum progress and drive lasting impact.
Quantum Simulation
Our advanced algorithms simulate quantum operations with unmatched precision.
Hardware Integration
Seamlessly bridging quasicrystal technology with emerging quantum hardware.
Algorithm Design
Revolutionizing computing with software tailored for fault-tolerant systems.

Driven by Vision: Our Leadership
AperiodiQ is spearheaded by a core team of experienced collaborators— Dr. Marcelo Maciel Amaral, Ray Aschheim, Dr. Fang Fang, and Dr. Richard Clawson—with decades of synergistic experience from the Quantum Gravity Research (QGR) institute, specializing in foundational physics research, the unique properties of aperiodic systems, and pioneering new codes for quantum information science.
Guided by Expertise: Our Advisory Board
To ensure AperiodiQ remains at the cutting edge of topological quantum computing and strategic growth, we are privileged to draw upon the collective wisdom of our esteemed advisory board. Their diverse expertise, spanning foundational research to market application, is instrumental in guiding our mission to redefine quantum reliability through quasicrystal-based technologies.
Our advisors include:
- Klee Irwin. Inventor of a U.S. patent on aperiodic topological quantum computing. Founder of the Quantum Gravity Research institute, where he leads teams exploring the foundations of physics. Klee also brings decades of business leadership as the founder of a global wellness company and an active investor in transformative ventures including Change.org and the X PRIZE Foundation.
- [Advisor Name A] – [e.g., Renowned Theorist in Aperiodic Systems & Quantum Information]
- [Advisor Name B] – [e.g., Pioneer in Experimental Quantum Device Engineering]
- [Advisor Name C] – [e.g., Veteran in Scaling High-Tech Software Ventures]
Pioneering a New Path: Our Scientific & Intellectual Foundation
AperiodiQ’s mission to redefine quantum reliability is built upon a strong foundation of peer-reviewed research and patented innovations. We are translating deep insights into the unique properties of aperiodic systems into tangible solutions for topological quantum computing
Groundbreaking Research in Quasicrystal-Based TQC
Our theoretical framework is significantly advanced by research demonstrating the anyonic behavior of quasicrystals, making them a natural platform for TQC. Key work includes:
“Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing” (Amaral M., Chester D., Fang F., Irwin K., Symmetry 2022). This publication details the correspondence between Fibonacci anyon fusion spaces and quasicrystal tiling spaces, proposing a concrete encoding for quantum information processing using inflation and deflation.
Patented Technology for Quasicrystal Quantum Computing
AperiodiQ’s approach is further underpinned by access to foundational patents in the field. This includes:
US Patent 11,403,547 B2: “Topological Quantum Computing, Apparatus, System and Method.” (Inventor: Klee M. Irwin). This granted patent describes a quantum computer and operational methods where the material for forming qubits is a quasicrystal or quasicrystalline approximant, specifically enabling topological quantum computing.
From Theory to Application – The Quasicrystal Inflation Code (QIC)
Leveraging this foundational IP, AperiodiQ is developing the Quasicrystal Inflation Code (QIC). Our ongoing simulations using the QIC to demonstrate Fibonacci anyon braiding on current and near-term hardware serve as a critical milestone, validating the practical potential of our quasicrystal-based approach to fault-tolerant quantum computation. This work bridges the gap between theoretical discovery and real-world application, paving the way for a new generation of quantum computing.
Blog
Discover thought-provoking articles, cutting-edge research, and expert insights into the world of quantum computing innovation.
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Leveraging Aperiodic Systems for Advanced Quantum Simulations
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The Quasicrystal Inflation Code: A Deep Dive
The dream of fault-tolerant quantum computation often feels just within reach, yet…
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Understanding the Role of Quasicrystals in Quantum Computing
Imagine constructing an intricate mosaic not with uniform square tiles, but with…
Pioneering Quantum Fault-Tolerance with Innovation
Los Angeles – CA
contact@aperiodiq.com