![]() 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. 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. 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. Here, we provide estimates on the performance of one of these codes.Ī very promising class of quantum error correcting codes are topological codes. 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. ![]() Schoelkopf, describing the different stages to reach before achieving fault-tolerant quantum computation.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.
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