Entangled states of two quantum dots mediated by Majorana fermions
arXiv:1611.09451 · doi:10.1088/1367-2630/18/2/023005
Abstract
With the assistance of a pair of Majorana fermions, we propose schemes to entangle two quantum dots by Lyapunov control in the charge and spin degrees of freedom. Four different schemes are considered, i.e., the teleportation scheme, the crossed Andreev reflection scheme, the intradot spin flip scheme, and the scheme beyond the intradot spin flip. We demonstrate that the entanglement can be generated by modulating the chemical potential of quantum dots with square pulses, which is easily realized in practice. In contrast to Lyapunov control, the preparation of entangled states by adiabatic passage is also discussed. There are two advantages in the scheme by Lyapunov control, i.e., it is flexible to choose a control Hamiltonian, and the control time is much shorter with respect to the scheme by adiabatic passage. Furthermore, we find that the results are quite different by different adiabatic passages in the scheme beyond the intradot spin flip, which can be understood as an effect of quantum destructive interference.
References in corpus (51)
- Topological insulators and superconductors
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Quantum Computation with Quantum Dots
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- 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
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Search for Majorana fermions in superconductors
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Spin-orbit qubit in a semiconductor nanowire
- Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
- Spin relaxation in semiconductor quantum dots
- Control and Detection of Singlet-Triplet Mixing in a Random Nuclear Field
- Andreev-Tunneling, Coulomb Blockade, and Resonant Transport of Non-Local Spin-Entangled Electrons
- Splitting of a Cooper pair by a pair of Majorana bound states
- Manipulation of a single charge in a double quantum dot
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Quantum Coherence in a One-Electron Semiconductor Charge Qubit
- Electronic Entanglement in the Vicinity of a Superconductor
- Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
- Non-Abelian operations on Majorana fermions via single charge control
- Spin and Majorana polarization in topological superconducting wires
- Parity lifetime of bound states in a proximitized semiconductor nanowire
- Majorana fermions in superconducting nanowires without spin-orbit coupling
- Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
- Quantum information transfer between topological and spin qubit systems
- Universal quantum computation on a semiconductor quantum wire network
- Topological quantum buses: coherent quantum information transfer between topological and conventional qubits
- Interface Between Topological and Superconducting Qubits
- Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
- Majorana single-charge transistor
- Coulomb blockade of Majorana fermion induced transport
- Driving Quantum System into Decoherence-free Subspaces by Lyapunov Control
- Entanglement generation between distant atoms by Lyapunov control
- Coupling spin qubits via superconductors
- Using hybrid topological-spin qubit systems for two-qubit-spin gates
- Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control
- Global Control Methods for GHZ State Generation on 1-D Ising Chain
- Spin Transfer of Quantum Information between Majorana Modes and a Resonator
- Robust interface between flying and topological qubits
- Topological pumping in class-D superconducting wires
- Majorana Entanglement Bridge
- Josephson-Majorana cycle in topological single-electron hybrid transistors