Creating long-range entangled Majorana pairs: from spin-1/2 twisted Kitaev to generalized XY chains

Abstract

Entangling a pair of far-distant qubits in many-body systems has been a challenging task in quantum computing. A robust entanglement was predicted in the rainbow states and generating nonlocal Bell pairs protected by a mirror symmetry was recently proposed. We investigate a way to create entangled Majorana fermions in the spin-1/2 Kitaev chain with open boundary conditions. The spin-1/2 Kitaev chain, a one-dimensional version of the honeycomb lattice with bond-dependent Ising interactions, has a macroscopic degeneracy related to the zero modes containing non-local spin strings. We show that applying a pair pulse sequence on the central unit cell of the chain promotes long distance spin correlations and maximal bipartite entanglement entropy. We extend this method to the generalized bond-dependent spin-1/2 chain by introducing another set of Majorana fermions and make a comparison to the entangled Bell pairs. The time to reach maximal bipartite entanglement entropy is shorter in the Kitaev chain as the zero modes do not participate in the entangled pairs. An application of our results to a recently proposed twisted Kitaev chain, CoNb2O6, is presented and future directions are also discussed.

arXiv comment12 pages, 11 figures

References in corpus (39)

• Quantum entanglement
• The Quantum Internet
• Anyons in an exactly solved model and beyond
• Quantum Computing
• Persistent entanglement in arrays of interacting particles
• Quantum Teleportation is a Universal Computational Primitive
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Quantum Computing
• Measurement-based quantum computation
• Natural and artificial atoms for quantum computation
• Topological characterization of quantum phase transitions in a S=1/2 spin model
• When Entanglement meets Classical Communications: Quantum Teleportation for the Quantum Internet (Invited Paper)
• Quantum Internet Protocol Stack: a Comprehensive Survey
• Decoherence in Solid State Qubits
• Microscopic mechanism for higher-spin Kitaev model
• Basics of Quantum Computation
• Quantum Computing: Pro and Con
• Violation of area-law scaling for the entanglement entropy in spin 1/2 chains
• Quantum Computation
• Photonic Simulation of Entanglement Growth After a Spin Chain Quench
• Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
• Entanglement over the rainbow
• From conformal to volume-law for the entanglement entropy in exponentially deformed critical spin 1/2 chains
• Duality and domain wall dynamics in a twisted Kitaev chain
• Quantum computation by local measurement
• Multicriticality and entanglement in the one-dimensional quantum compass model
• More on the rainbow chain: entanglement, space-time geometry and thermal states
• Typical entanglement in multi-qubit systems
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Nested entangled states for distributed quantum channels
• Long-Range Coherence and Multiple Steady States in a Lossy Qubit Array
• Unusual excitations and double-peak specific heat in a bond-alternating spin-$1$ $K$-$\Gamma$ chain
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Stabilizing volume-law entangled states of fermions and qubits using local dissipation
• Spin-1 Kitaev model in one dimension
• Out-of-equilibrium steady states of a locally driven lossy qubit array
• Optimal Quench for Distance-Independent Entanglement and Maximal Block Entropy
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• Spin dynamics of the generalized quantum spin compass chain