Roads towards fault-tolerant universal quantum computation

Building logical qubits in a superconducting quantum computing system

(2017) Jay M. Gambetta et al.   npj Quantum Information

Constructions and Noise Threshold of Hyperbolic Surface Codes

(2016) Nikolas P. Breuckmann et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Dimensional jump in quantum error correction

(2016) Héctor Bombín   NEW JOURNAL OF PHYSICS

High-Fidelity Quantum Logic Gates Using Trapped-Ion Hyperfine Qubits

(2016) C. J. Ballance et al.   PHYSICAL REVIEW LETTERS

Fault-tolerant error correction with the gauge color code

(2016) Benjamin J. Brown et al.   Nature Communications

Synthesis of Arbitrary Quantum Circuits to Topological Assembly

(2016) Alexandru Paler et al.   Scientific Reports

State preservation by repetitive error detection in a superconducting quantum circuit

(2015) J. Kelly et al.   NATURE

Unfolding the color code

(2015) Aleksander Kubica et al.   NEW JOURNAL OF PHYSICS

Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes

(2015) Héctor Bombín   NEW JOURNAL OF PHYSICS

Reducing the quantum-computing overhead with complex gate distillation

(2015) Guillaume Duclos-Cianci et al.   PHYSICAL REVIEW A

Universal transversal gates with color codes: A simplified approach

(2015) Aleksander Kubica et al.   PHYSICAL REVIEW A

Efficient synthesis of probabilistic quantum circuits with fallback

(2015) Alex Bocharov et al.   PHYSICAL REVIEW A

Quantum error correction for quantum memories

(2015) Barbara M. Terhal   REVIEWS OF MODERN PHYSICS

Detecting bit-flip errors in a logical qubit using stabilizer measurements

(2015) D. Ristè et al.   Nature Communications

Demonstration of a quantum error detection code using a square lattice of four superconducting qubits

(2015) A.D. Córcoles et al.   Nature Communications

Quantum LDPC Codes With Positive Rate and Minimum Distance Proportional to the Square Root of the Blocklength

(2014) Jean-Pierre Tillich et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Decoding color codes by projection onto surface codes

(2014) Nicolas Delfosse   PHYSICAL REVIEW A

Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects

(2014) C. Monroe et al.   PHYSICAL REVIEW A

Using Concatenated Quantum Codes for Universal Fault-Tolerant Quantum Gates

(2014) Tomas Jochym-O’Connor et al.   PHYSICAL REVIEW LETTERS

Quantum computations on a topologically encoded qubit

(2014) D. Nigg et al.   SCIENCE

A Meet-in-the-Middle Algorithm for Fast Synthesis of Depth-Optimal Quantum Circuits

(2013) M. Amy et al.   IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS

Distilling one-qubit magic states into Toffoli states

(2013) Bryan Eastin   PHYSICAL REVIEW A

Low-overhead constructions for the fault-tolerant Toffoli gate

(2013) Cody Jones   PHYSICAL REVIEW A

Multilevel distillation of magic states for quantum computing

(2013) Cody Jones   PHYSICAL REVIEW A

Universal Fault-Tolerant Quantum Computation with Only Transversal Gates and Error Correction

(2013) Adam Paetznick et al.   PHYSICAL REVIEW LETTERS

Classification of Topologically Protected Gates for Local Stabilizer Codes

(2013) Sergey Bravyi et al.   PHYSICAL REVIEW LETTERS

Superconducting Circuits for Quantum Information: An Outlook

(2013) M. H. Devoret et al.   SCIENCE

Surface code implementation of block code state distillation

(2013) Austin G. Fowler et al.   Scientific Reports

Surface code quantum computing by lattice surgery

(2012) Clare Horsman et al.   NEW JOURNAL OF PHYSICS

Magic-state distillation with low overhead

(2012) Sergey Bravyi et al.   PHYSICAL REVIEW A

Surface codes: Towards practical large-scale quantum computation

(2012) Austin G. Fowler et al.   PHYSICAL REVIEW A

Topological color codes on Union Jack lattices: a stable implementation of the whole Clifford group

(2010) Helmut G. Katzgraber et al.   PHYSICAL REVIEW A

Tradeoffs for Reliable Quantum Information Storage in 2D Systems

(2010) Sergey Bravyi et al.   PHYSICAL REVIEW LETTERS

Topological Order with a Twist: Ising Anyons from an Abelian Model

(2010) H. Bombin   PHYSICAL REVIEW LETTERS

A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes

(2009) Sergey Bravyi et al.   NEW JOURNAL OF PHYSICS

Restrictions on Transversal Encoded Quantum Gate Sets

(2009) Bryan Eastin et al.   PHYSICAL REVIEW LETTERS

Subsystem stabilizer codes cannot have a universal set of transversal gates for even one encoded qudit

(2008) Xie Chen et al.   PHYSICAL REVIEW A

Quantum computing with trapped ions

(2008) H HAFFNER et al.   PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS