Mapping of Topological Quantum Circuits to Physical Hardware

Abstract

Topological quantum computation is a promising technique to achieve large-scale, error-corrected computation. Quantum hardware is used to create a large, 3-dimensional lattice of entangled qubits while performing computation requires strategic measurement in accordance with a topological circuit specification. The specification is a geometric structure that defines encoded information and fault-tolerant operations. The compilation of a topological circuit is one important aspect of programming a quantum computer, another is the mapping of the topological circuit into the operations performed by the hardware. Each qubit has to be controlled, and measurement results are needed to propagate encoded quantum information from input to output. In this work, we introduce an algorithm for mapping an topological circuit to the operations needed by the physical hardware. We determine the control commands for each qubit in the computer and the relevant measurements that are needed to track information as it moves through the circuit.

arXiv comment16 Pages, 8 Figures, to Appear Sci. Rep

References in corpus (15)

• Surface codes: Towards practical large-scale quantum computation
• Measurement-based quantum computation with cluster states
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Synthesis of Quantum Logic Circuits
• Topological fault-tolerance in cluster state quantum computation
• A meet-in-the-middle algorithm for fast synthesis of depth-optimal quantum circuits
• High threshold universal quantum computation on the surface code
• Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
• Photonic architecture for scalable quantum information processing in NV-diamond
• Quantum Circuit Placement
• Surface code with decoherence: An analysis of three superconducting architectures
• Optimal quantum circuits for general phase estimation
• Requirements for fault-tolerant factoring on an atom-optics quantum computer
• A scalable, high-speed measurement-based quantum computer using trapped ions
• A bridge to lower overhead quantum computation