Papers

P. Baireuther, T. O’Brien, B. Tarasinski +1 more·May 22, 2017

A fault-tolerant quantum computation requires an efficient means to detect and correct errors that accumulate in encoded quantum information. In the context of machine learning, neural networks are a promising new approach to quantum error correction...

A. Bermudez, A. Bermudez, Xiaosi Xu +15 more·May 8, 2017

A quantitative assessment of the progress of small prototype quantum processors towards fault-tolerant quantum computation is a problem of current interest in experimental and theoretical quantum information science. We introduce a necessary and fair...

Yi-Chan Lee, Courtney G. Brell, S. Flammia·May 3, 2017

The Kitaev honeycomb model is an approximate topological quantum error correcting code in the same phase as the toric code, but requiring only a 2-body Hamiltonian. As a frustrated spin model, it is well outside the commuting models of topological qu...

Dmitry Melnikov, Dmitry Melnikov, A. Mironov +4 more·Mar 1, 2017

Abstract Quantum R-matrices, the entangling deformations of non-entangling (classical) permutations, provide a distinguished basis in the space of unitary evolutions and, consequently, a natural choice for a minimal set of basic operations (universal...

T. Tanamoto, Hayato Goto·Feb 26, 2017

Topological error-correcting codes, such as surface codes and color codes, are promising because quantum operations are realized by two-dimensionally (2D) arrayed quantum bits (qubits). However, physical wiring of electrodes to qubits is complicated,...

X. Waintal·Feb 24, 2017

A quantum error correction (QEC) code uses $N_{\rm c}$ quantum bits to construct one "logical" quantum bits of better quality than the original "physical" ones. QEC theory predicts that the failure probability $p_L$ of logical qubits decreases expone...

David J. Reutter, J. Vicary·Jan 12, 2017

We give a scheme for interpreting shaded tangles as quantum circuits, with the property that if two shaded tangles are ambient isotopic, their corresponding computational effects are identical. We analyse 11 known quantum procedures in this way—inclu...

Jacob A. Marks, Tomas Jochym-O'Connor, Vlad Gheorghiu·Jan 9, 2017

We introduce and analyze a new type of decoding algorithm called general color clustering, based on renormalization group methods, to be used in qudit color codes. The performance of this decoder is analyzed under a generalized bit-flip error model, ...

Theodore J. Yoder, Isaac H. Kim·Dec 14, 2016

The surface code is one of the most successful approaches to topological quantum error-correction. It boasts the smallest known syndrome extraction circuits and correspondingly largest thresholds. Defect-based logical encodings of a new variety calle...

F. Pastawski, J. Eisert, H. Wilming·Nov 22, 2016

While originally motivated by quantum computation, quantum error correction (QEC) is currently providing valuable insights into many-body quantum physics, such as topological phases of matter. Furthermore, mounting evidence originating from holograph...

Sam Roberts, B. Yoshida, Aleksander Kubica +1 more·Nov 16, 2016

We address the question of whether symmetry-protected topological (SPT) order can persist at nonzero temperature, with a focus on understanding the thermal stability of several models studied in the theory of quantum computation. We present three res...

Hendrik Poulsen Nautrup, N. Friis, H. Briegel·Sep 26, 2016

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 gat...

B. Heim, K. Svore, M. Hastings·Sep 20, 2016

Surface codes exploit topological protection to increase error resilience in quantum computing devices and can in principle be implemented in existing hardware. They are one of the most promising candidates for active error correction, not least due ...

O. Viyuela, O. Viyuela, O. Viyuela +5 more·Jul 29, 2016

Topological insulators and superconductors at finite temperature can be characterized by the topological Uhlmann phase. However, a direct experimental measurement of this invariant has remained elusive in condensed matter systems. Here, we report a m...

G. Dauphinais, D. Poulin·Jul 7, 2016

While topological quantum computation is intrinsically fault-tolerant at zero temperature, it loses its topological protection at any finite temperature. We present a scheme to protect the information stored in a system supporting non-cyclic anyons a...

Armin Rahmani, B. Seradjeh, M. Franz·May 11, 2016

In topological quantum computing, unitary operations on qubits are performed by adiabatic braiding of non-Abelian quasiparticles, such as Majorana zero modes, and are protected from local environmental perturbations. In the adiabatic regime, with tim...

Alex Bocharov, M. Rötteler, K. Svore·May 9, 2016

We determine the cost of performing Shor's algorithm for integer factorization on a ternary quantum computer, using two natural models of universal fault-tolerant computing: (i) a model based on magic state distillation that assumes the availability...

A. Paler, S. Devitt, A. Fowler·Apr 28, 2016

Given a quantum algorithm, it is highly nontrivial to devise an efficient sequence of physical gates implementing the algorithm on real hardware and incorporating topological quantum error correction. In this paper, we present a first step towards th...

Ruben S. Andrist, H. Katzgraber, H. Bombin +1 more·Mar 29, 2016

Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be calculated ...

J. Moussa·Mar 7, 2016

Surface and color codes are two forms of topological quantum error correction in two spatial dimensions with complementary properties. Surface codes have lower-depth error detection circuits and well-developed decoders to interpret and correct errors...