Entanglement measures of Majorana bound states

Abstract

Majorana bound states emerge in topological superconductors as zero-energy edge states exhibiting spatial nonlocality. Despite the enormous advances, the detection of Majorana bound states is still challenging mainly because topologically trivial Andreev bound states produce similar signatures. In this work we consider a topological superconductor with Majorana bound states coupled to quantum dots and investigate the dynamics of their quantum correlations with the aim to explore their entanglement properties. In particular, we characterize entanglement by using concurrence and discord, which are also complemented by the entanglement dynamics and return probability. We find that Majorana bound states at truly zero energy can transform an initially entangled system into its classical state, while they can create maximally entangled states at a finite energy overlap. Interestingly, we show that the system can generate a maximally entangled state between MBSs and a quantum dot by simply controlling the Majorana nonlocality. We demonstrate that these results hold in the scenarios when the initial state is either maximally entangled or separable, albeit in the latter maximally entangled states are achieved in the long time dynamics. Furthermore, we contrast our findings with those produced by a regular fermion and obtain very distinct entanglement signatures. Our work offers an alternative approach to characterize Majorana bound states, which can be also useful towards their utilization for quantum information tasks.

14 pages, 5 figures

References in corpus (37)

• Quantum discord and the power of one qubit
• Experimental quantum computing without entanglement
• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Realization of a minimal Kitaev chain in coupled quantum dots
• Majorana qubit decoherence by quasiparticle poisoning
• Is Entanglement Monogamous?
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Disorder-induced zero-bias peaks in Majorana nanowires
• Majorana splitting from critical currents in Josephson junctions
• Majorana nanowires for topological quantum computation
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Theory of Majorana zero modes in unconventional superconductors
• Controlled crossed Andreev reflection and elastic co-tunneling mediated by Andreev bound states
• Weak measurement protocols for Majorana bound state identification
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Crossed Andreev reflection and elastic co-tunneling in a three-site Kitaev chain nanowire device
• Entropy measurement of a strongly coupled quantum dot
• Majorana entropy revival via tunneling phases
• Majorana ensembles with fractional entropy and conductance in nanoscopic systems
• Zero-frequency supercurrent susceptibility signatures of trivial and topological zero-energy states in nanowire junctions
• A robust protocol for entropy measurement in mesoscopic circuits
• Near zero-energy Caroli-de Gennes-Matricon vortex states in the presence of impurities
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Majorana differential shot noise and its universal thermoelectric crossover
• Quantum Correlations Dynamics In Two Coupled Semiconductor InAs Quantum Dots
• Cavity-mediated entanglement of parametrically driven spin qubits via sidebands
• Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
• Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
• Machine learning optimization of Majorana hybrid nanowires
• Differential current noise as an identifier of Andreev bound states that induce nearly quantized conductance plateaus
• Topologically nontrivial and trivial zero modes in chiral molecules
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• Nonlocality of Majorana bound states revealed by electron waiting times in a topological Andreev interferometer
• Electron Interference as a Probe of Majorana Zero Modes

Cited by in corpus (9)

• Superconducting phenomena in systems with unconventional magnets
• Josephson diode effect with Andreev and Majorana bound states
• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Anomalous proximity effect under Andreev and Majorana bound states
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Entanglement dynamics in minimal Kitaev chains
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Fluctuation response of a minimal Kitaev chain in nonequilibrium states