Papers
Live trends in quantum computing research, updated daily from arXiv.
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Hardware platform mentions in abstracts — Photonic leads
Quantum Error Correcting Codes in Eigenstates of Translation-Invariant Spin Chains.
F. Brandão, E. Crosson, M. B. Şahinoğlu +1 more·Oct 12, 2017
Quantum error correction was invented to allow for fault-tolerant quantum computation. Systems with topological order turned out to give a natural physical realization of quantum error correcting codes (QECC) in their ground spaces. More recently, in...
Physical realization of topological quantum walks on IBM-Q and beyond
R. Balu, Daniel Castillo, G. Siopsis·Oct 10, 2017
We discuss an efficient physical realization of topological quantum walks on a one-dimensional finite lattice with periodic boundary conditions (circle). The N-point lattice is realized with log 2 N qubits, and the quantum circuit utilizes a number o...
String order parameters for one-dimensional Floquet symmetry protected topological phases
Ajesh Kumar, P. Dumitrescu, A. Potter·Sep 25, 2017
Floquet symmetry protected topological (FSPT) phases are non-equilibrium topological phases enabled by time-periodic driving. FSPT phases of 1d chains of bosons, spins, or qubits host dynamically protected edge states that can store quantum informati...
Almost-linear time decoding algorithm for topological codes
Nicolas Delfosse, Naomi H. Nickerson·Sep 19, 2017
In order to build a large scale quantum computer, one must be able to correct errors extremely fast. We design a fast decoding algorithm for topological codes to correct for Pauli errors and erasure and combination of both errors and erasure. Our alg...
Multi-path Summation for Decoding 2D Topological Codes
B. Criger, I. Ashraf·Sep 7, 2017
Fault tolerance is a prerequisite for scalable quantum computing. Architectures based on 2D topological codes are effective for near-term implementations of fault tolerance. To obtain high performance with these architectures, we require a decoder wh...
Synthesis of Arbitrary Quantum Circuits to Topological Assembly: Systematic, Online and Compact
A. Paler, A. Fowler, R. Wille·Sep 5, 2017
It is challenging to transform an arbitrary quantum circuit into a form protected by surface code quantum error correcting codes (a variant of topological quantum error correction), especially if the goal is to minimise overhead. One of the issues is...
A domain-specific language and matrix-free stencil code for investigating electronic properties of Dirac and topological materials
A. Pieper, G. Hager, H. Fehske·Aug 31, 2017
We introduce PVSC-DTM (Parallel Vectorized Stencil Code for Dirac and Topological Materials), a library and code generator based on a domain-specific language tailored to implement the specific stencil-like algorithms that can describe Dirac and topo...
Ultrahigh Error Threshold for Surface Codes with Biased Noise.
David K. Tuckett, S. Bartlett, S. Flammia·Aug 28, 2017
We show that a simple modification of the surface code can exhibit an enormous gain in the error correction threshold for a noise model in which Pauli Z errors occur more frequently than X or Y errors. Such biased noise, where dephasing dominates, is...
Bipartite entanglement in AJL's algorithm for three-strand braids
Ri Qu, Weiwei Dong, Juan Wang +3 more·Aug 21, 2017
Aharonov, Jones, and Landau [Algorithmica 55, 395 (2009)] have presented a polynomial quantum algorithm for approximating the Jones polynomial. We investigate the bipartite entanglement properties in AJL's algorithm for three-strand braids. We re-des...
Topological Qubits from Valence Bond Solids.
Dongsheng Wang, I. Affleck, R. Raussendorf·Aug 16, 2017
Topological qubits based on SU(N)-symmetric valence-bond solid models are constructed. A logical topological qubit is the ground subspace with twofold degeneracy, which is due to the spontaneous breaking of a global parity symmetry. A logical Z rotat...
Braiding by Majorana tracking and long-range CNOT gates with color codes
D. Litinski, F. Oppen·Aug 16, 2017
Color-code quantum computation seamlessly combines Majorana-based hardware with topological error correction. Specifically, as Clifford gates are transversal in two-dimensional color codes, they enable the use of the Majoranas' non-Abelian statistics...
Entanglement spectroscopy on a quantum computer
S. Johri, Damian S. Steiger, M. Troyer·Jul 24, 2017
We present a quantum algorithm to compute the entanglement spectrum of arbitrary quantum states. The interesting universal part of the entanglement spectrum is typically contained in the largest eigenvalues of the density matrix which can be obtained...
Fault-tolerance thresholds for the surface code with fabrication errors
J. Auger, H. Anwar, Mercedes Gimeno-Segovia +2 more·Jun 15, 2017
The construction of topological error correction codes requires the ability to fabricate a lattice of physical qubits embedded on a manifold with a non-trivial topology such that the quantum information is encoded in the global degrees of freedom (i....
Structural properties of thin-film ferromagnetic topological insulators
C. C. Richardson, J. Devine-Stoneman, G. Divitini +6 more·Jun 6, 2017
We present a comprehensive study of the crystal structure of the thin-film, ferromagnetic topological insulator (Bi, Sb)2−xVxTe3. The dissipationless quantum anomalous Hall edge states it manifests are of particular interest for spintronics, as a nat...
Machine-learning-assisted correction of correlated qubit errors in a topological code
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...
Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
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...
Topological quantum error correction in the Kitaev honeycomb model
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...
Towards topological quantum computer
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...
Work sharing of qubits in topological error corrections
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,...
What determines the ultimate precision of a quantum computer
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...