Abstract
The quantum noise encumbrance caused by quantum error-correcting protocols is studied via numerical treatments. Noise evolution implies that the noise magnitude order may change dynamically during quantum computations. The rate of noise level deterioration is a function of the computer’s architecture and physical implementation. Various stabilizer codes with small blocks are studied under dynamic noise regimes, which change the noise magnitude order within a specified time period. The Monte-Carlo sampling simulation method is used to determine the survival probabilities for these codes under evolving error rates. A hypothetical q-step quantum algorithm is stabilized by the repeated application of the recovery protocol, and the proposed estimation method is applied. The estimation method is applied concurrently with the execution of the algorithm. The recovery process is simulated with the aid of a software tool that can be parameterized based on the noise model and the encoding error-correction scheme. Examples show the utility of this tool for quantum coding studies.
Highlights
Various noise processes can lead a quantum system to relaxation, two types are the most prevalent
Other phenomena may appear to destabilize quantum states depending on the physical implementation of the computing system, such as multiple-coupled qubits and a loss of photon qubits
Typical values for relaxation times range from a few microseconds to several seconds, and each qubit’s physical system has a resonant frequency that usually determines the upper speed of its operation.[1]
Summary
Various noise processes can lead a quantum system to relaxation, two types are the most prevalent. Other phenomena may appear to destabilize quantum states depending on the physical implementation of the computing system, such as multiple-coupled qubits and a loss of photon qubits. The timescales of these phenomena are sufficient for them to be identified not as errors but rather as broader computing operational limits. Typical values for relaxation times range from a few microseconds to several seconds, and each qubit’s physical system has a resonant frequency that usually determines the upper speed of its operation.[1] In practice, even if relaxation times are sufficiently long to allow fault-tolerant gate operations, imperfections in the coherent control of qubits limit the computer’s performance
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
