Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits

Abstract

Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own antiparticles and could be used as a basis for a qubit which is robust-to-noise. However, all attempts to prove their existence gave inconclusive results. Here, the Kitaev chain is exactly solved with a quantum computing methodology and properties of MZMs are probed by generating eigenstates of the Kitev Hamiltonian on 3 noisy qubits of a publicly available quantum computer. After an ontological elaboration I show that two eigenstates of the Kitaev Hamiltonian exhibit eight signatures attributed to MZMs. The results presented here are a most comprehensive set of validations of MZMs ever conducted in an actual physical system. Furthermore, the findings of this manuscript are easily reproducible for any user of publicly available quantum computers, solving another important problem of research with MZMs-the result reproducibility crisis.

References in corpus (11)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Software Mitigation of Crosstalk on Noisy Intermediate-Scale Quantum Computers
• Quench dynamics and parity blocking in Majorana wires
• Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
• Majorana Bound States Induced by Antiferromagnetic Skyrmion Textures
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Anisotropic non-split zero-energy vortex bound states in a conventional superconductor
• Simulating Majorana zero modes on a noisy quantum processor

Cited by in corpus (8)

• From edge to bulk: Cavity induced displacement of topological non-local qubits
• Softening of Majorana edge states by long-range couplings
• Simulating Majorana zero modes on a noisy quantum processor
• Systematic construction of topological-nontopological hybrid universal quantum gates based on many-body Majorana fermion interactions
• Detecting quasi-degenerate ground states in topological models via variational quantum eigensolver
• Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Nonuniform Parafermion Chains: Low-Energy Physics and Finite-Size Effects