Transfer of arbitrary two qubit states via a spin chain

Abstract

We investigate the fidelity of the quantum state transfer (QST) of two qubits by means of an arbitrary spin-1/2 network, on a lattice of any dimensionality. Under the assumptions that the network Hamiltonian preserves the magnetization and that a fully polarized initial state is taken for the lattice, we obtain a general formula for the average fidelity of the two qubits QST, linking it to the one- and two-particle transfer amplitudes of the spin-excitations among the sites of the lattice. We then apply this formalism to a 1D spin chain with XX-Heisenberg type nearest-neighbour interactions adopting a protocol that is a generalization of the single qubit one proposed in Ref. [Phys. Rev. A 87, 062309 (2013)]. We find that a high-quality two qubit QST can be achieved provided one can control the local fields at sites near the sender and receiver. Under such conditions, we obtain an almost perfect transfer in a time that scales either linearly or, depending on the spin number, quadratically with the length of the chain.

arXiv comment9 pages

References in corpus (40)

• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Spin Chains as Perfect Quantum State Mirrors
• Perfect state transfer on a spin-chain without state initialization
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• 99%-fidelity ballistic quantum-state transfer through long uniform channels
• Robustness of spin-coupling distributions for perfect quantum state transfer
• Long quantum channels for high-quality entanglement transfer
• Routing quantum information in spin chains
• Quantum-state transfer via resonant tunnelling through local field induced barriers
• Efficient and perfect state transfer in quantum chains
• Entanglement Routers Using Macroscopic Singlets
• Spin chains for robust state transfer: Modified boundary couplings vs. completely engineered chains
• Optimized dynamical control of state transfer through noisy spin chains
• Local control of entanglement in a spin chain
• Perfect State Transfer without State Initialization and Remote Collaboration
• Diagonalization of quasi-uniform tridiagonal matrices
• Entanglement localization by a single defect in a spin chain
• Transport of Quantum Correlations across a spin chain
• Arbitrary perfect state transfer in $d$-level spin chains
• Teleportation on a quantum dot array
• Pretty good state transfer of entangled states through quantum spin chains
• Quantum state transfer in a XX chain with impurities
• Quantum-state transfer in spin chains via isolated resonance of terminal spins
• Mesoscopic continuous and discrete channels for quantum information transfer
• Quantum state transfer in the presence of non homogeneous external potentials
• Ballistic quantum state transfer in spin chains: general theory for quasi-free models and arbitrary initial states
• Quantum state transfer via temporal kicking of information
• Quantum state transfer through a spin chain in a multi-excitation subspace
• Optimal electron propagation on a quantum chain by a topological phase
• Double dot chain as a macroscopic quantum bit
• Transfer arbitrary photon state along a cavity array without initialization
• Transferring entangled states through spin chains by boundary-state multiplets
• An impurity-induced gap system as a quantum data bus for quantum state transfer
• Perfect routing of quantum information in regular cavity QED networks
• Duplex quantum communication through a spin chain

Cited by in corpus (41)

• Quantum-state transfer in staggered coupled-cavity arrays
• Landau-Zener topological quantum state transfer
• Violation of Cluster Decomposition and Absence of Light-Cones in Local Integer and Half-Integer Spin Chains
• Superadiabatic quantum state transfer in spin chains
• Spin chains for two-qubit teleportation
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Qubit(s) transfer in helical spin chains
• Perturbatively-perfect many-body transfer
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Coherent ground-state transport of neutral atoms
• Many-qubit quantum state transfer via spin chains
• Dimensionality-enhanced quantum state transfer in long-range interacting spin systems
• Asymptotically perfect efficient quantum state transfer across uniform chains with two impurities
• Measurement-Assisted Quantum Communication in Spin Channels with Dephasing
• Interplay between speed and fidelity in off-resonant quantum-state transfer protocols
• NOON States via Quantum Walk of Bound Particles
• Almost perfect transport of an entangled two-qubit state through a spin chain
• Quantum transfer of interacting qubits
• Clifford algebras, Spin groups and qubit trees
• Disorder-safe entanglement transfer through ladder qubit chains
• Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
• Entanglement generation between distant parties via disordered spin chains
• Robust Multiple-Range Coherent Quantum State Transfer
• Multipartite entanglement transfer in spin chains
• Universal scaling of a classical impurity in the quantum Ising chain
• Robust and efficient transport of two-qubit entanglement via disordered spin chains
• State-Transfer Simulation in Integrated Waveguide Circuits
• Flat-band quantum communication induced by disorder
• Entanglement transfer via Chiral Quantum Walk on a Triangular Chain
• Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette
• State transfer in an inhomogeneous spin chain
• Topological state transfers in cavity-magnon system
• Quantum Corralling
• Transfer of high-dimensional quantum state through an XXZ-Heisenberg quantum spin chain
• Impurity-driven transitions in frustrated quantum Ising ring
• Dynamics of Resonant energy transfer in one-dimensional chain of Rydberg atoms
• Two-excitation routing via linear quantum channels
• Optimally controlled non-adiabatic quantum state transmission in the presence of quantum noise
• Multipoint entanglement in disordered systems
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays