An error-corrected superconducting circuit-based quantum computer has two types of blueprints that can be described as: (a) first scale-up and
... error correction in a distance-3 surface code using superconducting qubits. In these experiments, in which a 17-qubit chip was continuously
# Quantum error correction with superconducting qubits. **Quantum error correction with superconducting qubits.** / Ferreira Marques, J.M. Research output: Thesis › Dissertation (TU Delft). AU - Ferreira Marques, J.M. N2 - The advent of the computer has ushered in the fastest period of technological progress experienced by civilization. This thesis studies experimental aspects of implementing quantum error correction with superconducting qubits: qubits encoded in quantum states of superconducting circuits operating at microwave frequencies and cooled down to cryogenic temperatures where they can exhibit coherent quantum behavior.... Dive into the research topics of 'Quantum error correction with superconducting qubits'. *Quantum error correction with superconducting qubits*. / **Quantum error correction with superconducting qubits**. title = "Quantum error correction with superconducting qubits",. Ferreira Marques, JM 2024, 'Quantum error correction with superconducting qubits', Delft University of Technology. Quantum error correction with superconducting qubits. T1 - Quantum error correction with superconducting qubits.
The error detection rate is given by the smallest of 127 4.3 Three-qubit bit-flip code with two-component cat qubits the two measurement rates, i.e Γdetect = min l=1,2Γal,al+1 m = min l=1,2 ¯ ncχcl al,al+1 = min l=1,2 ¯ ncϕ2 cl,le− ϕ2 cl,l 2 EJl,π ¯ h e−1 2(ϕal,l−2|α|)2−1 2(ϕal+1,l−2|α|)2 2π q |α|2ϕal,lϕal+1,l Apart from the second order errors (two consecutive single-photon losses on different modes) yielding a logical bit-flip rate Γ2nd eff = 3(|α|2κa)2/Γdetect, two dephasing channels stem from the measurement protocol. Second order RWA dephasing rate ∼Γdetect max|εk,k+1 j | Second order dephasing rate Zeno dynamics approximation ΓZeno eff = ∑l=1,2 f(|α|)E2 Jl,π/(¯ h2κ2ph), where f(|α|) = O(e−c|α|), c > 0 Table 4.3 Performances of the QEC scheme using three cat qubits, realized through the continuous measurement of the joint parities. Second order dephasing rate Zeno dynamics approximation ΓZeno eff = ∑j<k f(|α|)E jk J,π 2/(¯ h2κ2ph) where f(|α|) = O(e−c|α|), c > 0 Table 4.4 Performances of the autonomous QEC scheme using three cat qubits in the presence of two-photon dissipation.
Quantum error correction works by using a number of physical qubits to encode a logical qubit, which is then protected against some number of
Erasure qubits offer a promising avenue toward reducing the overhead of quantum error correction (QEC) protocols.
# Physical-Layer Quantum Error Suppression for Superconducting Qubits in Gate Model Quantum Computation Applications. However, the susceptibility of qubits, the basic unit of quantum information, to environmental noise and errors poses a crucial challenge. Achieving a delicate balance where the quantum system remains stable and well-protected against noise, while not compromising on computational speed and complexity, remains a big hurdle in the mass adoption and practicality of quantum computing technologies. The technology in question is a device that combines physical qubits into logical ones through the use of a passive, quantum error-suppressing code. It also intertwines these qubits into a computational or annealing fabric by using an active, quantum error-correcting code. What sets this technology apart is its ability to tackle the pesky problem of ambient noise that often interferes with quantum computations. Integrating an ancilla qubit to the intermediary circuitry facilitates the formation of a logical qubit with passive error suppression, allowing arbitrary computations to be performed using a fabric of such circuitry.
To reduce these errors, researchers combine many physical qubits into a single logical qubit and apply continuous error correction. This