Fault-tolerant interface between quantum memories and quantum processors
arXiv:1609.08062 · doi:10.1038/s41467-017-01418-2
Abstract
Topological error correction codes are promising candidates to protect quantum computations from the deteriorating effects of noise. While some codes provide high noise thresholds suitable for robust quantum memories, others allow straightforward gate implementation needed for data processing. To exploit the particular advantages of different topological codes for fault-tolerant quantum computation, it is necessary to be able to switch between them. Here we propose a practical solution, subsystem lattice surgery, which requires only two-body nearest neighbor interactions in a fixed layout in addition to the indispensable error correction. This method can be used for the fault-tolerant transfer of quantum information between arbitrary topological subsystem codes in two dimensions and beyond. In particular, it can be employed to create a simple interface, a quantum bus, between noise resilient surface code memories and flexible color code processors.
7+4 pages, 4 figures, latest version includes new results going beyond topological codes
References in corpus (16)
- Surface codes: Towards practical large-scale quantum computation
- Topological Quantum Distillation
- Roads towards fault-tolerant universal quantum computation
- Restrictions on Transversal Encoded Quantum Gate Sets
- Experimental Quantum Computations on a Topologically Encoded Qubit
- Quantum computing with nearest neighbor interactions and error rates over 1%
- A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
- Fault-tolerant conversion between the Steane and Reed-Muller quantum codes
- Unfolding the color code
- Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates
- Fault-tolerant logical gates in quantum error-correcting codes
- Fault-tolerant error correction with the gauge color code
- Fault-tolerant quantum computation with asymmetric Bacon-Shor codes
- Stacked codes: universal fault-tolerant quantum computation in a two-dimensional layout
- Gauge color codes in two dimensions
- Estimation of coherent error sources from stabilizer measurements
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- Code Deformation and Lattice Surgery Are Gauge Fixing
- Transversality and lattice surgery: exploring realistic routes towards coupled logical qubits with trapped-ion quantum processors
- Scaling and logic in the color code on a superconducting quantum processor
- Universal fault-tolerant measurement-based quantum computation
- Morphing quantum codes
- Creating entangled logical qubits in the heavy-hex lattice with topological codes
- A High Performance Compiler for Very Large Scale Surface Code Computations
- Efficient Magic State Distillation by Zero-Level Distillation
- Lattice Surgery on the Raussendorf Lattice
- CSS code surgery as a universal construction
- Ising model formulation for highly accurate topological color codes decoding
- Fault-tolerant logical measurements via homological measurement
- Stabilizer Entanglement Distillation and Efficient Fault-Tolerant Encoders
- Improving threshold for fault-tolerant color code quantum computing by flagged weight optimization
- Reentrant topological phases and spin density wave induced by 1D moiré potentials
- Synchronization for Fault-Tolerant Quantum Computers
- Measurement-free code-switching for low overhead quantum computation using permutation invariant codes
- Lattice Surgery for Dummies