Homomorphic Logical Measurements | Qiskit Seminar Series with Shilin Huang скачать в хорошем качестве

Homomorphic Logical Measurements | Qiskit Seminar Series with Shilin Huang

Homomorphic Logical Measurements Qiskit Seminar Series with Shilin Huang Your formal invite to weekly Qiskit videos ► https://ibm.biz/q-subscribe Slides: https://www.dropbox.com/s/u244b5jhfdo... Speaker: Shilin Huang Host: Zlatko Minev, PhD. Abstract: Recently, quantum low-density-parity-check (LDPC) codes becomes competitive candidates for fault-tolerant quantum storage and computation, as quantum information is stored more compactly than the celebrated planar surface code architecture. However, the protocols for manipulating quantum information on these codes are not well-developed. In this talk, I will first review some existing methods for performing logical measurements on small quantum codes, including the Shor and Steane methods, and discuss their limitations when applied to large quantum LDPC codes. Then I will show how to circumvent these difficulties by unifying Shor and Steane methods into a single framework called “homomorphic measurements”. Compared to Shor and Steane methods, homomorphic measurements do not require either repetitive measurements or complicated ancilla state preparation procedures. As an example, I will show how to construct homomorphic measurement circuits for hyperbolic surface codes, which are some of the best known codes with intermediate block size. The construction connects fault-tolerant logical operation design and the theory of covering spaces from algebraic topology. Paper link: https://arxiv.org/abs/2211.03625 Bio: Shilin Huang is an incoming postdoc at Yale University. Shilin recently finished his graduate study at Duke University, advised by Prof. Kenneth Brown. He was also a research intern at IBM in summer 2022. His research focuses on fault-tolerant quantum computation and quantum control.