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.

9 pages

References in corpus (14)

• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Spin Chains as Perfect Quantum State Mirrors
• Perfect state transfer on a spin-chain without state initialization
• 99%-fidelity ballistic quantum-state transfer through long uniform channels
• Entanglement Routers Using Macroscopic Singlets
• Optimized dynamical control of state transfer through noisy spin chains
• Local control of entanglement in a spin chain
• Pretty good state transfer of entangled states through quantum spin chains
• Mesoscopic continuous and discrete channels for quantum information transfer
• Optimal electron propagation on a quantum chain by a topological phase
• Transferring entangled states through spin chains by boundary-state multiplets
• Transfer arbitrary photon state along a cavity array without initialization
• An impurity-induced gap system as a quantum data bus for quantum state transfer

Cited by in corpus (11)

• Disorder-assisted distribution of entanglement in $XY$ spin chains
• Qubit(s) transfer in helical spin chains
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• NOON States via Quantum Walk of Bound Particles
• Almost perfect transmission of multipartite entanglement through disordered and noisy 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
• Flat-band quantum communication induced by disorder
• Two-excitation routing via linear quantum channels
• Multipoint entanglement in disordered systems
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays