Realizing Majorana zero modes in superconductor-semiconductor heterostructures
arXiv:1707.04899 · doi:10.1038/s41578-018-0003-1
Abstract
Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor proposals for topological superconductivity. Material science progress and robust signatures of Majorana zero modes in recent experiments are discussed. After a brief introduction to the subject, we outline several next-generation experiments probing exotic properties of Majorana zero modes, including fusion rules and non-Abelian exchange statistics. Finally, we discuss prospects for implementing Majorana-based topological quantum computation in these systems.
arXiv comment20 pages, 8 figures, review article
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- Non-Abelian Geometric Dephasing
- Unusual spin properties of InP wurtzite nanowires revealed by Zeeman splitting spectroscopy
- Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes
- Entanglement measures of Majorana bound states
- Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
- Conductance asymmetries in mesoscopic superconducting devices due to finite bias
- Fidelity and visibility reduction in Majorana qubits by entanglement with environmental modes
- Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system
- Flux-tunable Kitaev chain in a quantum dot array
- Dual Majorana universality in thermally induced nonequilibrium
- Topological isoconductance signatures in Majorana nanowires
- Finite frequency noise in a normal metal - topological superconductor junction
- Theory of Coulomb blockaded transport in realistic Majorana nanowires
- Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
- Stability of Floquet Majorana box qubits
- Majorana bound state engineering via efficient real-space parameter optimization
- Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array
- Dynamical leakage of Majorana mode into side-attached quantum dot
- Topological superconductivity in Fibonacci quasicrystals
- Scalable Fermionic Error Correction in Majorana Surface Codes
- Topological superconductivity at finite temperatures in proximitized magnetic nanowires
- Fermion-Parity-Based Computation and its Majorana-Zero-Mode Implementation
- Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
- Hierarchical Majoranas in a Programmable Nanowire Network
- Chiral -wave superconductivity in a twisted array of proximitized quantum wires
- Influence of long-range interaction on Majorana zero modes
- Machine learning optimization of Majorana hybrid nanowires
- Evidence for -shifted Cooper quartets and few-mode transport in PbTe nanowire three-terminal Josephson junctions
- Magnetically-Confined Bound States in Rashba Systems
- Majorana phase-gate based on the geometric phase
- Spin phase regulated spin Josephson supercurrent in topological superconductor
- Josephson diode effect with Andreev and Majorana bound states
- Emergent strong zero mode through local Floquet engineering
- Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
- Exact Master Equation for Quantum Brownian Motion with Generalization to Momentum-Dependent System-Environment Couplings
- Variable and orbital-dependent spin-orbit field orientations in a InSb double quantum dot characterized via dispersive gate sensing
- Identifying Topological Superconductivity in 2D Transition-Metal Dichalcogenides
- 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
- Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
- Probing Majorana zero modes by measuring transport through an interacting magnetic impurity
- Supersymmetry in the Insulating Phase of a Chain of Majorana Cooper Pair Boxes
- Phonon-Assisted Andreev Reflection at Majorana Zero Mode
- Electronic structure of graphene-nanoribbons on hexagonal boron nitride
- Proposal for measuring the parity anomaly in a topological superconductor ring
- Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
- Coupling of quantum-dot states via elastic-cotunneling and crossed Andreev reflection in a minimal Kitaev chain
- Superconductivity and parity preservation in as-grown In islands on InAs nanowires
- Non-Abelian defects in Fracton phase of matter
- Transient effects in double quantum dot sandwiched laterally between superconducting and metallic leads
- Properties of the Majorana-state tunneling Josephson junction mediated by an interacting quantum dot
- Greedy optimization of the geometry of Majorana Josephson junctions
- Majorana bound states in vortex lattices on iron-based superconductors
- Microscopic analysis of proximity-induced superconductivity and metallization effects in superconductor-germanium hole nanowires
- Curvature of gap closing features and the extraction of Majorana nanowire parameters
- Non-Hermitian minimal Kitaev chains
- Fractional Chern insulator edges and layer-resolved lattice contacts
- Strongly enlarged topological regime and enhanced superconducting gap in nanowires coupled to Ising superconductors
- Topological contextuality and anyonic statistics of photonic-encoded parafermions
- Vanishing Zeeman energy in a two-dimensional hole gas
- Spin-filtered measurements of Andreev bound states
- Pseudo-Ising superconductivity induced by -wave magnetism
- Spectroscopic Visualization of a Robust Electronic Response of Semiconducting Nanowires to Deposition of Superconducting Islands
- Reshaping the Jaynes-Cummings ladder with Majorana bound states
- Transmission Amplitude through a Coulomb blockaded Majorana Wire
- Magneto-conductance of topological junctions based on two-dimensional electron gases reveals Majorana phases
- Majorana signatures in charge transport through a topological superconducting double-island system
- Translation symmetry-enriched toric code insulator
- Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
- Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
- Emergent pair symmetries in systems with poor man's Majorana modes
- Proximity-induced quasi-one-dimensional superconducting quantum anomalous Hall state: a promising scalable top-down approach towards localized Majorana modes
- Visibility of noisy quantum dot-based measurements of Majorana qubits
- Spin-selective tunneling from nanowires of the candidate topological Kondo insulator SmB6
- Simulating Majorana zero modes on a noisy quantum processor
- Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
- Optimizing one dimensional superconducting diodes: Interplay of Rashba spin-orbit coupling and magnetic fields
- First principles study of topological phase in chains of transition metals
- Flux-induced Topological Superconductor in Planar Josephson Junction
- Spin-orbital polarization of Majorana edge states in oxides nanowires
- Dual topological superconducting states in the layered titanium-based oxypnictide superconductor BaTiSbO
- Andreev bound states and supercurrent in an unconventional superconductor-altermagnetic Josephson junction
- Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires
- Higgs modes in proximized superconducting systems
- Effects of the phase coherence on the local density of states in superconducting proximity structures
- Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
- Majorana correlations in quantum impurities coupled to a topological wire
- Signatures of topological ground state degeneracy in Majorana islands
- Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
- Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
- Electrostatic control of quasiparticle poisoning in a hybrid semiconductor-superconductor island
- InAs/MoRe hybrid semiconductor/superconductor nanowire devices
- Interference and parity blockade in transport through a Majorana box
- Electronic structure of InSb (001), (110), and (111)B surfaces
- Hidden symmetry in interacting-quantum-dot-based multi-terminal Josephson junctions
- Low-temperature environments for quantum computation and quantum simulation
- Transverse profile and 3D spin canting of a Majorana state in carbon nanotubes
- Impurity Knight shift in quantum dot Josephson junctions
- Phase-Controllable Nonlocal Spin Polarization in Proximitized Nanowires
- Statistical Majorana Bound State Spectroscopy
- Josephson radiation from nonlinear dynamics of Majorana zero modes
- Topological superconductor candidates PdBiTe and PdBiTe from a generic ab initio strategy
- Coalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain
- Germanium-based hybrid semiconductor-superconductor topological quantum computing platforms: Disorder effects
- Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes
- Clock model and parafermions in Rashba nanowires
- Do Majorana zero modes emerge in the hybrid nanowire under a strong magnetic field?
- Josephson diode effect in one-dimensional quantum wires connected to superconductors with mixed singlet-triplet pairing
- Scaling up a sign-ordered Kitaev chain without magnetic flux control
- Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
- Degradability of Fermionic Gaussian Channels
- Spectroscopy of the local density-of-states in nanowires using integrated quantum dots
- Majorana-Kondo competition in a cross-shaped double quantum dot-topological superconductor system
- Optimizing the topological properties of stacking semiconductor-ferromagnet-superconductor heterostructures
- Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
- Mesoscopic conductance fluctuations and noise in disordered Majorana wires
- Inter-orbital Cooper pairing at finite energies in Rashba surface states
- Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
- Multiplicative Majorana zero-modes
- Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
- Topological indicators for systems with open boundaries: Application to the Kitaev wire
- Protected Solid-State Qubits
- Fast multifrequency measurement of nonlinear conductance
- Proximity-induced gapless superconductivity in two-dimensional Rashba semiconductor in magnetic field
- Engineering Topological Models with a General-Purpose Symmetry-to-Hamiltonian Approach
- Topological superconductivity in a magnetic-texture coupled Josephson junction
- Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
- Tunable topological states hosted by unconventional superconductors with adatoms
- Nonequilibrium Fractional Josephson Effect
- Superconductivity near the saddle point in the two-dimensional Rashba system Si(111)--(Tl,Pb)
- Electrostatic effects and topological superconductivity in semiconductor-superconductor-magnetic insulator hybrid wires
- Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
- Long distance coherence of Majorana wires
- Conductance oscillations and speed of chiral Majorana mode in a quantum-anomalous-Hall 2d strip
- Delocalized states in three-terminal superconductor-semiconductor nanowire devices
- Minimal Zeeman field requirement for a topological transition in superconductors
- Stabilization of a Majorana Zero Mode through Quantum Frustration
- Proximity-Induced Superconductivity in Atomically Precise Nanographene
- Detecting chiral pairing and topological superfluidity using circular dichroism
- Odd-frequency pairing due to Majorana and trivial Andreev bound states
- Controlling Majorana modes by -wave pairing in two-dimensional topological superconductors
- Probing details of spin--orbit coupling through Pauli spin blockade
- Induced Half-Metallicity and Gapless Topological Superconductivity in the CrI-Pb Interface
- Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
- Majorana Zero Modes in Cylindrical Semiconductor Quantum Wire
- Exfoliated hexagonal BN as gate dielectric for InSb nanowire quantum dots with improved gate hysteresis and charge noise
- Effects of spin-orbit coupling and in-plane Zeeman fields on the critical current in two-dimensional hole gas SNS junctions
- Supercurrent and phase slips in a ballistic carbon nanotube embedded into a van der Waals heterostructure
- InP/GaSb core-shell nanowires: a novel hole-based platform with strong spin-orbit coupling for full-shell hybrid devices
- Reentrant proximity-induced superconductivity for GeTe semimetal
- Signatures of Kondo-Majorana interplay in ac response
- Transient effects in quantum dots contacted via topological superconductor
- Magnon-mediated topological superconductivity in a quantum wire
- Observation of Persistent Zero Modes and Superconducting Vortex Doublets in UTe
- Topological charge, spin and heat transistor
- Vision transformer based Deep Learning of Topological indicators in Majorana Nanowires
- -factor engineering with InAsSb alloys toward zero band gap limit
- Development of a Nb-based semiconductor-superconductor hybrid platform
- Josephson current via an isolated Majorana zero mode
- Majorana edge-modes in a spinful particle conserving model
- Unsupervised interpretable learning of topological indices invariant under permutations of atomic bands
- Anomalous Coherence Length of Majorana Zero Modes at Vortices in Superconducting Topological Insulators
- Majorana-Weyl cones in ferroelectric superconductors
- Rashba spin-orbit coupling in infinite-layer nickelate films on SrTiO3(001) and KTaO3(001)
- Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
- Majorana Zero Modes in Nanowires with Combined Triangular and Hexagonal Geometry
- Disorder effects in planar semiconductor-superconductor structures: Majorana wires versus Josephson junctions
- Anisotropic Kondo screening induced by spin-orbit coupling in quantum wires
- Topological gap protocol based machine learning optimization of Majorana hybrid wires
- All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
- Transport theory for topological Josephson junctions with a Majorana qubit
- Topological ordering in the Majorana Toric Code
- Edge mode locality in perturbed symmetry protected topological order
- Anomalous proximity effect under Andreev and Majorana bound states
- Edge parafermions in fermionic lattices
- Zero-dimensional topologically nontrivial state in a superconducting quantum dot
- Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
- Low-symmetry nanowire cross-sections for enhanced Dresselhaus spin-orbit interaction
- Observation of an Abrupt 3D-2D Morphological Transition in Thin Al Layers Grown by MBE on InGaAs surface
- Nonlocal correlations transmitted between quantum dots via short topological superconductor
- Post-growth shaping and transport anisotropy in 2D InAs nanofins
- A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation
- Topological Josephson Bifurcation Amplifier: Semiclassical theory
- Dressed Majorana fermion in a hybrid nanowire
- Prediction of topological superconductivity in 1-TiTe under pressure
- Coexistence of topological and nontopological Fermi-superfluid phases
- Three-dimensional time reversal invariant topological superconductivity in doped chiral topological semimetals
- Quantum Hall valley Ferromagnets as a platform for topologically protected quantum memory
- Dynamics of a Majorana trijunction in a microwave cavity
- Logical Majorana zero modes in a nanowire network
- Suppression of one-dimensional weak localization by band asymmetry
- Non-Hermitian zero mode laser in a nanophotonic trimer
- Refined Majorana phase diagram in topological insulator-superconductor hybrid system
- Quantum transport theory of hybrid superconducting systems
- Majorana Thermoelectrics and Refrigeration
- Uncoupled Majorana fermions in open quantum systems: On the efficient simulation of non-equilibrium stationary states of quadratic Fermi models
- Electron Interactions in Rashba Materials
- Quantized thermal Hall conductance from edge current calculations in lattice models
- Topology and Spectrum in Measurement-Induced Phase Transitions
- Superconducting Proximity Effect in Two-Dimensional Hole Gases
- Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
- Correspondence between bulk equilibrium spin-currents and edge spin accumulation in wires with spin-orbit coupling
- Control of Andreev Reflection via a Single-Molecule Orbital
- Entropy of a double quantum dot
- Microwave signatures of and fractional Josephson effects
- Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs
- Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
- Caroli-de Gennes-Matricon Analogs in Full-Shell Hybrid Nanowires
- Phase-controlled minimal Kitaev chain in multiterminal Josephson junctions
- Theory of superconducting proximity effect in hole-based hybrid semiconductor-superconductor devices
- Circulator function in a Josephson junction circuit and braiding of Majorana zero modes
- Spin-resolved nonlocal transport in proximitized Rashba nanowires
- Fingerprints of Majorana bound states in quantum-rings
- A proposal for realizing Majorana fermions without external magnetic field in strongly correlated nanowires
- Self-consistent quasi-particle and hybrid functional calculations for Al/InAs/Al heterojunctions: band offset and spin-orbit coupling effects
- Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
- Robust topological superconductivity in spin-orbit coupled systems at higher-order van Hove filling
- Effects of dynamical noises on Majorana bound states
- Pumped heat and charge statistics from Majorana braiding
- Topological superconductivity driven by correlations and linear defects in multiband superconductors
- Proximal quantum control of spin and spin ensemble with highly localized control field from skyrmions
- The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
- Interface engineering of van der Waals heterostructures towards energy-efficient quantum devices operating at high temperatures
- Mesoscopic supercurrent fluctuations in diffusive magnetic Josephson junctions
- Photoemission Spectroscopic Evidence of Multiple Dirac Cones in Superconducting BaSn
- Many-body Majorana-like zero modes without gauge symmetry breaking
- Designing and topological orders in networks of Majorana bound states
- Band twisting and resilience to disorder in long-range topological superconductors
- Subgap states in superconducting islands
- Gate-tunable negative differential conductance in hybrid semiconductor-superconductor devices
- Simulating exotic phases of matter with bond-directed interactions with arrays of Majorana-Cooper pair boxes
- Nodeless superconductivity and topological nodal states in molybdenum carbide
- Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions
- Anomalous superconducting proximity effect of planar Pb-RhPb2 heterojunctions in the clean limit
- Josephson junction arrays as a platform for topological phases of matter
- A unified numerical approach to semiconductor-superconductor heterostructures
- Optical and Raman selection rules for odd-parity clean superconductors
- Majorana modes in helical altermagnet without net magnetism and spin-orbit coupling
- Probing Andreev reflection reach in semiconductor-superconductor hybrids by Aharonov-Bohm effect
- Phase transitions in quantum dot-Majorana zero mode coupling systems
- Re-entrant topological order in strongly correlated nanowire due to Rashba spin-orbit coupling
- Deterministic topological quantum gates for Majorana qubits without ancillary modes
- Thermoelectric fluctuations of interfering Majorana bound states
- Side-gate modulation of supercurrent in InSb nanoflag-based Josephson junctions
- Shuttling Majorana zero modes in disordered and noisy topological superconductors
- Identifying Majorana Zero Modes in Vortex Lattices Using Fano Factor Tomography
- Majorana-metal transition in a disordered superconductor: percolation in a landscape of topological domain walls
- Influence of disorder on antidot vortex Majorana states in 3D topological insulators
- Embedded Majorana Islands
- Tunable reciprocal and nonreciprocal contributions to 1D Coulomb Drag
- Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
- Transport-based fusion that distinguishes between Majorana and Andreev bound states
- Atomic-scale tailoring of spin susceptibility via non-magnetic spin-orbit impurities
- Probing proximity induced superconductivity in InAs nanowire using built-in barriers
- Exponential suppression of the topological gap in self-consistent intrinsic Majorana nanowires
- Mitigating disorder and optimizing topological indicators with vision-transformer-based neural networks in Majorana nanowires
- Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
- Persistent current noise in narrow Josephson junctions
- Cross correlation mediated by distant Majorana zero modes with no overlap
- Majorana fermion induced power-law scaling in the violations of the Wiedemann-Franz law
- The Josephson effect in Fibonacci superconductors
- Dynamics of Majorana zero modes across hybrid Kitaev chain
- AI-enhanced tuning of quantum dot Hamiltonians toward Majorana modes
- Topological hybrid electron-hole Cooper pairing
- Quantum dot detects Majorana modes of both chiralities
- In-plane gate induced transition asymmetry of spin-resolved Landau levels in InAs-based quantum wells
- Magnus effect on a Majorana zero-mode
- Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
- Intrinsic emergence of Majorana modes in Luttinger j=3/2 systems
- Confinement-induced zero-bias peaks in conventional superconductor hybrids
- Qubit based on spin-singlet Yu-Shiba-Rusinov states
- Josephson radiation patterns in underdamped topological Josephson junctions
- Two qubit gate with macroscopic singlet-triplet qubits in synthetic spin-one chains in InAsP quantum dot nanowires
- Self-Consistent Model for Gate Control of Narrow-, Broken-, and Inverted-Gap (Topological) Heterostructures
- Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
- Rashba spin-orbit coupling and artificially engineered topological superconductors
- Scheme for braiding Majorana zero modes in vortices using an STT-matrix
- Chiral wave superconductivity in PbSnTe: signatures from bound-state spectra and wavefunctions
- One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
- Temperature-Dependent Collective Excitations in a Three-Dimensional Dirac System ZrTe
- Ballistic transport in 1D Rashba systems in the context of Majorana nanowires
- Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity
- The construction of a universal quantum gate set for the anyon models via genetic optimized algorithm
- Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
- Creating and detecting poor man's Majorana bound states in interacting quantum dots
- Spectroscopic Visualization of Hard Quasi-1D Superconductivity Induced in Nanowires Deposited on a Quasi-2D Indium film
- Proximity-induced superconductivity generated by thin films: Effects of Fermi surface mismatch and disorder in the superconductor
- Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
- SWAP gate between a Majorana qubit and a parity-protected superconducting qubit
- Majorana bound states with chiral magnetic textures
- Unveiling In-Gap States and Majorana Zero Modes in Superconductor-Topological Insulator Bilayer model
- Probing the Design Space of InSb Topological Superconductor Nanowires for the Realization of Majorana Zero Modes
- Magnetic orbital motion and 0.5 conductance of quantum-anomalous-Hall hybrid strips
- Clean quantum point contacts in an InAs quantum well grown on a lattice-mismatched InP substrate
- Nonlocal signatures of hybridization between quantum dot and Andreev bound states
- Measurements of cyclotron resonance of the interfacial states in strong spin-orbit coupled 2D electron gases proximitized with aluminum
- Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors
- Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases
- Entanglement dynamics in minimal Kitaev chains
- Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed - and -wave symmetries
- Vortex creation and control in the Kitaev spin liquid by local bond modulations
- Ab initio simulation framework for Majorana transport in 2D materials: towards topological quantum computing
- Electrical Properties of Selective-Area-Grown Superconductor-Semiconductor Hybrid Structures on Silicon
- Josephson and persistent currents in a quantum ring between topological superconductors
- Cross-correlation mediated by Majorana island with finite charging energy
- Analytical classification of Majorana zero-mode spatial profiles in extended Kitaev chains: probability maxima can shift inward
- Realizing Majorana Kramers pairs in two-channel InAs-Al nanowires with highly misaligned electric fields
- Fluctuation response of a minimal Kitaev chain in nonequilibrium states
- Impact of static disorder on quasiparticle spectra: Debye-Waller, mean free path and potential fluctuation effects
- Absence of Quasi-Majorana False Positives in Full-Shell Hybrid Nanowires
- Parity readout in Majorana box qubits from the dispersive to the resonant regime
- Excess photon-assisted noise of Majorana and Andreev bound states
- Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures
- Many-body wave function and edge magnetization of an open superconducting chain
- Current cross-correlation spectroscopy of Majorana bound states