"We think that we'll achieve significantly higher fidelities in the near future, opening the path to full-scale, fault-tolerant quantum computation. More recently, the strong security condition of quantum ramp SS was discussed 6. Then, an algebraic geometric construction of quantum error-correcting codes for quantum ramp SS scheme was given 5. Our results immediately show, as we predicted, that silicon is a viable platform for full-scale quantum computing," he said. The quantum ramp SS was proposed by Ogawa et al. These results allow us to give the first estimations of error correction thresholds for a universal non-Abelian quantum error correcting code."The fact that it is near 99% puts it in the ballpark we need, and there are excellent prospects for further improvement. By simulating the effect of noise on this code, and the subsequent recovery processes, we obtain the logical error rate as a function of the intensity of the noise. We devise a set of measurement operators and the corresponding quantum circuits, which allow us to measure the charge of anyonic quasiparticles created by microscopic errors on physical qubits.
The first step is to initialise a 3 qubit register. Quantum error-correcting code Gilbert-Varshamov bound Quantum Physics Computer Science - Cryptography and Security Computer Science - Information Theory. Our focus is a particular topological quantum error correcting code, based on a modified version of what is known as the Fibonacci Levin-Wen string-net model. Step 1: Initialise the quantum and classical registers.
Hence, when a topological code is subjected to noise, the resulting state can be interpreted as containing clusters of anyonic excitations, which must be annihilated in pairs to recover the encoded information. One of the defining characteristics of such models is that their excited states contain anyons, quasiparticles that do not behave like bosons or fermions (the two main classifications of subatomic particles). In this approach, the logical quantum state that we wish to protect is encoded in the degenerate ground space of a 2D topological model. The RepetitionCode contains two quantum circuits that implement the code: One for each of the two possible logical bit values. Here, we provide estimates on the performance of one of these codes.Ī very promising class of quantum error correcting codes are topological codes. With this we can inspect various properties of the code, such as the names of the qubit registers used for the code and auxiliary qubits. Hence, one of the main challenges for achieving a universal quantum computer is the development of techniques, known as quantum error correcting codes, to protect quantum information against errors. Such quantum computers are, however, vulnerable to noise from the environment or imperfect hardware, as this destroys the coherence of the quantum states used in computations. The use of quantum states for computing purposes will enable computations that are intractable for classical computers, such as the simulation of quantum many-body systems.