General Quantum State Swap: an XY model analysis

Abstract

We consider an exact state swap, defined as the swap between two quantum states |A> and |B> in the Hilbert space of a quantum system. We show that, given an arbitrary Hamiltonian dynamics, there is a straightforward approach to calculating the probability of the occurrence of an exact state swap, by employing an exchange operator P_{AB}. For a given dynamics, the feasibilities of proposed quantum setups, such as quantum state amplifications and transfers can be evaluated. These setups are only distinguished by different forms of P_{AB}, which easily lead to innovative designs of quantum setups or devices. We illustrate the method with the isotropic XY model, whose unnoticed features are revealed.

4 pages, 3 figures

References in corpus (13)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• The Propagation of Quantum Information Through a Spin System
• Entanglement and Quantum Phase Transition Revisited
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• Entanglement Assisted Metrology
• Long quantum channels for high-quality entanglement transfer
• State Transfer and Spin Measurement
• Entanglement Routers Using Macroscopic Singlets
• Perfect quantum state transfer with spinor bosons on weighted graphs
• Stimulated wave of polarization in 1D Ising chain
• Quantum communication through anisotropic Heisenberg XY spin chains

Cited by in corpus (5)

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• An impurity-induced gap system as a quantum data bus for quantum state transfer
• Quantum states experimentally achieving high-fidelity transmission over a spin chain