Manipulating Majorana zero modes in double quantum dots

Abstract

Majorana zero modes (MZMs) emerging at the edges of topological superconducting wires have been proposed as the building blocks of novel, fault-tolerant quantum computation protocols. Coherent detection and manipulation of such states in scalable devices are, therefore, essential in these applications. Recent detection proposals include semiconductor quantum dots (QDs) coupled to the end of these wires, as changes in the QD electronic spectral density due to the MZM coupling could be detected in transport experiments. Here, we propose that multi-QD systems can also be used to manipulate MZMs through precise control over the QDs' parameters. The simplest case where Majorana manipulation is possible is in a double quantum dot (DQD) geometry. By using exact analytical methods and numerical renormalization-group calculations, we show that the QDs' spectral functions can be used to characterize the presence or not of MZMs "leaking" into the DQD. More importantly, we find that these signatures respond to changes in the DQD parameters such as gate-voltages and couplings in a consistent fashion. Additionally, we show that different MZM-DQD coupling geometries ("symmetric" , "in-series" and "T-shaped" junctions) offer distinct ways in which MZMs can be switched from dot to dot. These results highlight the interesting possibilities that DQDs offer for all-electrical MZM control in scalable devices.

arXiv commentPublished version. 14 pages, 11 figures

References in corpus (39)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Search for Majorana fermions in superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• The numerical renormalization group method for quantum impurity systems
• Majorana Zero Modes and Topological Quantum Computation
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Scalable Designs for Quasiparticle-Poisoning-Protected Topological Quantum Computation with Majorana Zero Modes
• Quantized Majorana conductance
• Milestones toward Majorana-based quantum computing
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Majorana qubit decoherence by quasiparticle poisoning
• A Numerical Renormalization Group approach to Green's Functions for Quantum Impurity Models
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Generalized Numerical Renormalization Group for Dynamical Quantities
• Measuring Majorana non-locality and spin structure with a quantum dot
• Subtle leakage of a Majorana mode into a quantum dot
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Andreev Molecules in Semiconductor Nanowire Double Quantum Dots
• Zero-field Kondo splitting and quantum-critical transition in double quantum dots
• Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states
• Spin-dependent coupling between quantum dots and topological quantum wires
• Quantum phase transitions in the systems of parallel quantum dots
• Braiding Majorana zero modes using quantum dots
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Physical Architecture for a Universal Topological Quantum Computer based on a Network of Majorana Nanowires
• Andreev and Majorana bound states in single and double quantum dot structures
• Conductance and Kondo Interference beyond Proportional Coupling
• Transmission in double quantum dots in the Kondo regime: Quantum-critical transitions and interference effects

Cited by in corpus (11)

• Majorana-Kondo interplay in T-shaped double quantum dots
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Majorana mode leaking into a spin-charge entangled double quantum dot
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Majorana molecules and their spectral fingerprints
• Majorana bound state in the continuum: Coupling between Majorana bound state and quantum dot mediated by continuum
• Spin-charge Kondo effect for a quantum dot with side coupled Majorana zero mode
• Continuous unitary transformation approach to the Kondo-Majorana interplay
• Tunable Fano and Dicke effects in quantum transport of double quantum dots sandwiched between topological insulators
• Use of Electron Paramagnetic resonance (EPR) technique to build quantum computers: n-qubit (n=1,2,3,4) Toffoli Gates
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases