Qudit quantum error correction transversal t gate code#
The Five-Qubit Code tested on H1-2, while the Color Code tested on H1-1. Researchers were able to break down an initially fault-intolerant logical gate operation into smaller, individually fault-tolerant portions using “pieceable” fault tolerance. However, using a transversal CNOT gate, which is inherently fault-tolerant, is permitted under the Color Code. The Five-Qubit Code does not allow for a fault-tolerant transversal gate using only two logical qubits.
For the experiments, the Five-Qubit Code and the Color Code were tested, with two error codes that were well known to quantum scientists. The most recent study, which builds on 2021 research with one logical qubit, shows the Quantinuum team’s advancement with quantum error correction and two logical qubits. “It becomes very difficult to suppress noise to very small levels, and that becomes a problem in quantum computing,” “The most promising candidate was this quantum error correction, where we take the physical qubits, make a logical qubit.” Natalie Brown According to Natalie Brown, a research co-author and an experienced physicist at Quantinuum, most classical error correction principles fail with quantum computers because of the basic nature of quantum mechanics. The researchers at Quantinuum are working toward achieving fault tolerance, which would allow errors to be suppressed to arbitrarily low levels. Errors hinder quantum computers from generating accurate output and subsequently overload the systems. All types of technology, including servers in data centers and space probes delivering communications back to Earth, require error correction. Quantum error correction is one of the key pillars of development for Quantinuum and other businesses in the quantum computing industry. It is easier to transfer information along chains of ions without making numerous mistakes since all the qubits are related. In addition to its natural adaptability, the design has all-to-all connectivity. An important next step for us is to get the error rate induced by the error correction itself down further.” DAVID Hayesĭue to the machine’s architecture, quantum researchers can investigate a variety of quantum error codes than on other quantum hardware designs. “People have worked with error-corrected qubits before, but they haven’t reached this sort of special point where the encoded operation is working better than the primitive operation,” “The other thing that’s new here is that in other experiments, we’re doing the error correction while we’re doing the operations. The System Model H1 uses a quantum charged coupled device architecture and a trapped-ion design (QCCD). The researchers used both the H1-1 and the H1-2 quantum computers, Powered by Honeywell, to compare the Five-Qubit error code and the Distance Three Color Code in these tests. This combination provides for outstanding, first-of-its-kind achievements that help accelerate the entire industry.” Tony Uttley, president and COO of QuantinuumĪccording to the research paper’s co-author, David Hayes, this research brings quantum computing closer to the moment encoded circuits will outperform more basic functions. “Quantinuum’s trapped-ion quantum computing roadmap is designed around continuous upgrades, enabled by our flexible architecture and our precision control capabilities. This accomplishment proves that logical qubits can outperform physical qubits, a crucial step toward fault-tolerant quantum computers.
The first illustration of entangling gates between two logical qubits is carried out in a fully fault-tolerant environment using real-time error correction.It presents a collection of several different experiments: The study is the first experimental comparison of different quantum error correction codes in similar environments. Quantinuum researchers have successfully demonstrated the entangling of logical qubits in a fault-tolerant circuit using real-time quantum error correction.
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