Weak measurement protocols for Majorana bound state identification

Abstract

We propose a continuous weak measurement protocol testing the nonlocality of Majorana bound states through current shot noise correlations. The experimental setup contains a topological superconductor island with three normal-conducting leads weakly coupled to different Majorana states. Putting one lead at finite voltage and measuring the shot noise correlations between the other two (grounded) leads, devices with true Majorana states are distinguished from those without by strong current correlations. The presence of true Majoranas manifests itself in unusually high noise levels or the near absence of noise, depending on the chosen device configuration. Monitoring the noise statistics amounts to a weak continuous measurement of the Majorana qubit and yields information similar to that of a full braiding protocol, but at much lower experimental effort. Our theory can be adapted to different platforms and should allow for clear identification of Majorana states.

7 pages, 1 figure, 4 pages supplementary material

References in corpus (99)

• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Introduction to Quantum Noise, Measurement and Amplification
• Search for Majorana fermions in superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Majorana Zero Modes and Topological Quantum Computation
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Introduction to topological superconductivity and Majorana fermions
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Quantized Majorana conductance
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Scaling of Majorana Zero-Bias Conductance Peaks
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Evidence of topological superconductivity in planar Josephson junctions
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Gate-induced superconductivity in a monolayer topological insulator
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Class D spectral peak in Majorana quantum wires
• Majorana box qubits
• Majorana bound states from exceptional points in non-topological superconductors
• Epitaxy of Advanced Nanowire Quantum Devices
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
• Reproducing topological properties with quasi-Majorana states
• Measuring Majorana non-locality and spin structure with a quantum dot
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Majorana bound states in non-homogeneous semiconductor nanowires
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• Topological Kondo effect with Majorana fermions
• Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Next steps of quantum transport in Majorana nanowire devices
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Towards realistic implementations of a Majorana surface code
• Observation of the 4$\pi$-periodic Josephson effect in indium arsenide nanowires
• Roadmap to Majorana surface codes
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Majorana splitting from critical currents in Josephson junctions
• Majorana Fermion Surface Code for Universal Quantum Computation
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
• Multi-Terminal Coulomb-Majorana Junction
• Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Majorana-Klein hybridization in topological superconductor junctions
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• From Majorana Fermions to Topological Order
• Robust low-energy Andreev bound states in semiconductor-superconductor heterostructures: Importance of partial separation of component Majorana bound states
• Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
• Detecting the universal fractional entropy of Majorana zero modes
• Fractional Josephson Effect with and without Majorana Zero Modes
• Anomalous Fraunhofer patterns in gated Josephson junctions based on the bulk-insulating topological insulator BiSbTeSe2
• Hybridization of sub-gap states in one-dimensional superconductor/semiconductor Coulomb islands
• Supercurrent blockade in Josephson junctions with a Majorana wire
• Parity-controlled $2\pi$ Josephson effect mediated by Majorana Kramers pairs
• Presence versus absence of end-to-end nonlocal conductance correlations in Majorana nanowires: Majorana bound states versus Andreev bound states
• Microwave spectroscopy of Josephson junctions in topological superconductors
• Giant shot noise from Majorana zero modes in topological trijunctions
• Current Correlations in a Majorana Beam Splitter
• Universal Majorana thermoelectric noise
• Josephson effect in multiterminal topological junctions
• Probing electron-hole components of subgap states in Coulomb blockaded Majorana islands
• Disentangling Majorana fermions from conventional zero energy states in semiconductor quantum wires
• Fingerprints of Majorana bound states in Aharonov Bohm geometry
• Statistics of Measurement of Non-commuting Quantum Variables: Monitoring and Purification of a qubit
• Distinguishing Majorana Zero Modes from Impurity States through Time-Resolved Transport
• Microwave signature of robust topological Andreev-level crossings in superconducting proximitized crystalline Bi nanowires
• Differentiating Majorana from Andreev Bound States in a Superconducting Circuit
• Finite length effect on supercurrents between trivial and topological superconductors
• Detecting Majorana nonlocality using strongly coupled Majorana bound states
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Simulating topological tensor networks with Majorana qubits
• Josephson effect in junctions of conventional and topological superconductors
• Josephson current between topological and conventional superconductors
• Probing Majorana and Andreev Bound States with Waiting Times
• Electron waiting times in hybrid junctions with topological superconductors
• Hanbury Brown and Twiss noise correlations in a topological superconductor beam splitter
• Fermi liquid approach for superconducting Kondo problems
• The influence of the Majorana non-locality on the supercurrent
• Quantum transport in coupled Majorana box systems
• Probability distributions of continuous measurement results for conditioned quantum evolution
• Andreev or Majorana, Cooper finds out
• Probability distributions of continuous measurement results for two non-commuting variables and conditioned quantum evolution

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• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
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• Thermoelectric fluctuations of interfering Majorana bound states
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Cross correlation mediated by distant Majorana zero modes with no overlap
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• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases
• Cross-correlation mediated by Majorana island with finite charging energy
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states
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