Quantum State Transfer Characterized by Mode Entanglement

Abstract

We study the quantum state transfer (QST) of a class of tight-bonding Bloch electron systems with mirror symmetry by considering the mode entanglement. Some rigorous results are obtained to reveal the intrinsic relationship between the fidelity of QST and the mirror mode concurrence (MMC), which is defined to measure the mode entanglement with a certain spatial symmetry and is just the overlap of a proper wave function with its mirror image. A complementarity is discovered as the maximum fidelity is accompanied by a minimum of MMC. And at the instant, which is just half of the characteristic time required to accomplish a perfect QST, the MMC can reach its maximum value one. A large class of perfect QST models with a certain spectrum structure are discovered to support our analytical results.

6 pages, 3 figures. to appear in PRA

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• An Exactly Solvable Spin Chain Related to Hahn Polynomials
• Beam Splitter for Spin Waves in Quantum Spin Network
• Quantum state swapping via qubit network with Hubbard interaction
• Robust Multiple-Range Coherent Quantum State Transfer
• Mirror and cavity formations by chains of collectively radiating atoms
• Quantum dynamics of magnetically controlled network for Bloch electrons
• Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems
• A single photon produces general W state of N qubits and its application