- Quantinuum's H1 quantum computer successfully runs a fully fault-tolerant algorithm with three logically encoded qubits

A multidisciplinary team from Quantinuum, QuTech (Delft University of Technology) and the University of Stuttgart used the H1 quantum computer to demonstrate a remarkable advance in fault-tolerant operations

CAMBRIDGE, England and BROOMFIELD, Colorado, Sept. 28, 2023 /PRNewswire/ -- Fault-tolerant quantum computers offering radically new solutions to some of the world's most pressing problems in medicine, finance and the environment, as well as facilitating a truly widespread use of AI, are driving global interest in quantum technologies. However, the various timetables that have been established to achieve this paradigm require major advances and innovations to remain feasible, and none is more pressing than the move from purely physical to fault-tolerant qubits.

In one of the first significant steps on this path, scientists at Quantinuum, the world's largest integrated quantum computing company, together with collaborators, have demonstrated the first fault-tolerant method using three logically encoded qubits on the Quantinuum H1 quantum computer, Powered by Honeywell, to perform a mathematical procedure.

Fault-tolerant quantum computing methods are expected to pave the way for practical solutions to real-world problems in areas such as molecular simulation, artificial intelligence, optimization and cybersecurity. After a succession of important advances in recent years in hardware, software and error correction, the results announced today by Quantinuum in a new paper published on arXiv, "Fault-Tolerant One-Bit Addition with the Smallest Interesting Color Code", are a natural step forward and reflect the increasing pace of progress.

Many companies and research groups focus on achieving fault tolerance by managing the noise that naturally arises when a quantum computer performs its operations. Quantinuum is a proven pioneer, having achieved previous firsts such as demonstrating entanglement gates between two logical qubits in a completely fault-tolerant manner using correction, and simulating the hydrogen molecule with two logically encoded qubits.

By performing one-bit addition using the smallest known fault-tolerant circuit, the team achieved an error rate almost an order of magnitude lower, ~1.1x10-3 versus ~9.5x10-3 for the circuit without encode. The observed error suppression was made possible by the physical error rates of the quantum charge-coupled device (QCCD) architecture used in Quantinuum's H-series quantum computers, which are lower than any other system known to date. date. These error rates fall within the range in which fault-tolerant algorithms are viable.

Ilyas Khan, chief product officer and founder of Quantinuum, explained: "In addition to continuing to provide the quantum ecosystem with evidence of what is possible in these early days of quantum computing, the current demonstration stands out for its ingenuity. The ion trap architecture of our H series offers the lowest physical error rates and the flexibility derived from transporting qubits, allowing users of our hardware to implement a much wider range of error-correcting codes, and that's what this has done possible. Look for important new computational advances in the coming period, as we relate the quality of our hardware to tasks that make sense in the real world."

The low-overhead Clifford logic gates, in combination with the three-dimensional color code CCZ transverse gate, allowed the team to reduce the number of two-qubit gates and the measurements needed for one-bit addition from more than 1,000 to 36 qubits. .

Ben Criger, senior research scientist at Quantinuum and principal investigator on the paper, noted: "The CCZ gate, which we have demonstrated here, is a key ingredient in Shor's algorithm, quantum Monte Carlo, topological data analysis, and many other algorithms. "This result demonstrates that real hardware is already capable of jointly executing all the essential elements of fault-tolerant quantum computing: state preparation, Clifford gates, non-Clifford gates, and logic measurement."

About Quantinuum

Quantinuum is the world's largest independent integrated quantum computing company, formed by the combination of Honeywell Quantum Solutions' world-leading hardware and Cambridge Quantum's class-leading middleware and applications. Quantinuum is a scientific company that accelerates quantum computing and application development in the fields of chemistry, cybersecurity, finance and optimization. Its goal is to create scalable and commercial quantum solutions to solve the world's most pressing problems in fields such as energy, logistics, climate change and health. The company employs more than 480 people, including more than 350 scientists and engineers, in eight centers throughout the United States, Europe and Japan. For more information, visit the website //www.quantinuum.com.

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