Quantum error correction for quantum memories

BM Terhal - Reviews of Modern Physics, 2015 - APS
Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …

[HTML][HTML] Majorana nanowires for topological quantum computation

P Marra - Journal of Applied Physics, 2022 - pubs.aip.org
Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes

T Karzig, C Knapp, RM Lutchyn, P Bonderson… - Physical Review B, 2017 - APS
We present designs for scalable quantum computers composed of qubits encoded in
aggregates of four or more Majorana zero modes, realized at the ends of topological …

Majorana Kramers pairs in higher-order topological insulators

CH Hsu, P Stano, J Klinovaja, D Loss - Physical review letters, 2018 - APS
We propose a tune-free scheme to realize Kramers pairs of Majorana bound states in
recently discovered higher-order topological insulators (HOTIs). We show that, by bringing …

Formulation of lattice gauge theories for quantum simulations

E Zohar, M Burrello - Physical Review D, 2015 - APS
We examine the Kogut-Susskind formulation of lattice gauge theories under the light of
fermionic and bosonic degrees of freedom that provide a description useful to the …

Majorana fermion surface code for universal quantum computation

S Vijay, TH Hsieh, L Fu - Physical Review X, 2015 - APS
We introduce an exactly solvable model of interacting Majorana fermions realizing Z 2
topological order with a Z 2 fermion parity grading and lattice symmetries permuting the …

Roadmap to Majorana surface codes

S Plugge, LA Landau, E Sela, A Altland, K Flensberg… - Physical Review B, 2016 - APS
Surface codes offer a very promising avenue towards fault-tolerant quantum computation.
We argue that two-dimensional interacting networks of Majorana bound states in topological …

Towards realistic implementations of a Majorana surface code

LA Landau, S Plugge, E Sela, A Altland, SM Albrecht… - Physical review …, 2016 - APS
Surface codes have emerged as promising candidates for quantum information processing.
Building on the previous idea to realize the physical qubits of such systems in terms of …

Correcting coherent errors with surface codes

S Bravyi, M Englbrecht, R König, N Peard - npj Quantum Information, 2018 - nature.com
Surface codes are building blocks of quantum computing platforms based on 2D arrays of
qubits responsible for detecting and correcting errors. The error suppression achieved by …

Emergent supersymmetry from strongly interacting Majorana zero modes

A Rahmani, X Zhu, M Franz, I Affleck - Physical review letters, 2015 - APS
We show that a strongly interacting chain of Majorana zero modes exhibits a
supersymmetric quantum critical point corresponding to the c= 7 1 0 tricritical Ising model …