Quantum computing by color-code lattice surgery
arXiv:1407.5103
Abstract
We demonstrate how to use lattice surgery to enact a universal set of fault-tolerant quantum operations with color codes. Along the way, we also improve existing surface-code lattice-surgery methods. Lattice-surgery methods use fewer qubits and the same time or less than associated defect-braiding methods. Furthermore, per code distance, color-code lattice surgery uses approximately half the qubits and the same time or less than surface-code lattice surgery. Color-code lattice surgery can also implement the Hadamard and phase gates in a single transversal step---much faster than surface-code lattice surgery can. Against uncorrelated circuit-level depolarizing noise, color-code lattice surgery uses fewer qubits to achieve the same degree of fault-tolerant error suppression as surface-code lattice surgery when the noise rate is low enough and the error suppression demand is high enough.
13 pages, 19 figures. Video of talk on paper at http://pirsa.org/14070006
References in corpus (7)
- Fault-tolerant quantum computation with high threshold in two dimensions
- Topological Quantum Distillation
- Topological fault-tolerance in cluster state quantum computation
- Fault-tolerant quantum computation against biased noise
- Optimal Resources for Topological 2D Stabilizer Codes: Comparative Study
- Approximation of real error channels by Clifford channels and Pauli measurements
- Purifying Quantum States: Quantum and Classical Algorithms