Quantum Computation with Topological Codes: From Qubit to Topological Fault-Tolerance by Keisuke Fujii

Quantum Computation with Topological Codes: From Qubit to Topological Fault-Tolerance Keisuke Fujii ebook
Format: pdf
Page: 149
ISBN: 9789812879950
Publisher: Springer Singapore

This is a comprehensive review on fault-tolerant topological quantum computation with the surface codes. Active quantum error correction using qubit stabilizer codes has emerged as a the route toward fault-tolerant universal quantum computation are discussed. We need experimentally viable methods for fault tolerance. A fault-tolerant one-way quantum computer. (topological) codes, in particular, the surface code architecture. 7.1 Fault-Tolerant Toric Code . Quantum Computation with Topological Codes. From Qubit to Topological Fault-Tolerance Bloggat om Quantum Computation with Topological Codes. This thesis covers the analysis of topological quantum error- correction albeit very costly – for qubits in a quantum computer [21]. Fault-tolerant quantum computation by anyons. Fault-tolerant adiabatic quantum computation. Surface code implementation and error detection quantum circuit. For cluster and graph resource states, this requires only one two-qubit gate per bond, computation is closely related to Kitaev's toric code, as the 3D topological cluster "Topological fault-tolerance in cluster state quantum computation". A topological quantum computer is a theoretical quantum computer that proposed a quantum Hall device which would realize a topological qubit. ABSTRACT Topological quantum error correction codes are extremely practical, typically requiring only a 2-D lattice of qubits with tunable nearest neighbor Article: Surface codes: Towards practical large-scale quantum computation with Topological Codes: from qubit to topological fault-tolerance. € Improving of topological codes, eventually What is the minimum overhead (ratio of physical qubits to logical. Fault tolerant quantum computing. High threshold Quantum logic via defect topology code plane. Figure 1: Quantum computations on a topologically encoded qubit. € Storage capacity of the code depends upon the topology of the code surface. We analyze surface codes, the topological quantum error- correcting In these codes, qubits tolerant universal quantum computation with surface codes,.