Quantum error correction in crossbar architectures

Abstract

A central challenge for the scaling of quantum computing systems is the need to control all qubits in the system without a large overhead. A solution for this problem in classical computing comes in the form of so called crossbar architectures. Recently we made a proposal for a large scale quantum processor~[Li et al. arXiv:1711.03807 (2017)] to be implemented in silicon quantum dots. This system features a crossbar control architecture which limits parallel single qubit control, but allows the scheme to overcome control scaling issues that form a major hurdle to large scale quantum computing systems. In this work, we develop a language that makes it possible to easily map quantum circuits to crossbar systems, taking into account their architecture and control limitations. Using this language we show how to map well known quantum error correction codes such as the planar surface and color codes in this limited control setting with only a small overhead in time. We analyze the logical error behavior of this surface code mapping for estimated experimental parameters of the crossbar system and conclude that logical error suppression to a level useful for real quantum computation is feasible.

29 + 9 pages, 13 figures, 9 tables, 8 algorithms and 3 big boxes. Comments are welcome

References in corpus (5)

• Surface codes: Towards practical large-scale quantum computation
• An addressable quantum dot qubit with fault-tolerant control fidelity
• Topological Quantum Distillation
• Quantum computing with nearest neighbor interactions and error rates over 1%
• Low-distance Surface Codes under Realistic Quantum Noise

Cited by in corpus (14)

• A Crossbar Network for Silicon Quantum Dot Qubits
• Semiconductor Quantum Computation
• A repetition code of 15 qubits
• A two-dimensional array of single-hole quantum dots
• Exchange coupling in a linear chain of three quantum-dot spin qubits in silicon
• Impact of valley phase and splitting on readout of silicon spin qubits
• Classification and magic magnetic-field directions for spin-orbit-coupled double quantum dots
• SpinQ: Compilation strategies for scalable spin-qubit architectures
• Near-Term Spin-Qubit Architecture Design via Multipartite Maximally-Entangled States
• beSnake: A routing algorithm for scalable spin-qubit architectures
• Coherent errors in stabilizer codes caused by quasistatic phase damping
• Compiling the surface code to crossbar spin qubit architectures
• Compilation Techniques for Spin Qubits in a Shuttling Bus Architecture
• Electrically driven spin resonance with bichromatic driving