Perfect state transfer in quantum spin networks

Perfect state transfer in quantum spin networks

May 5, 2004 | Matthias Christandl, Nilanjana Datta, Artur Ekert, Andrew J. Landahl
The authors propose a class of qubit networks that enable perfect transfer of any quantum state over a fixed period of time, without requiring qubit couplings to be switched on and off. They demonstrate that for $N$-qubit spin networks with identical qubit couplings, the maximal perfect communication distance for hypercube geometries is $2 \log_3 N$. Additionally, they show that perfect state transfer can be achieved over arbitrarily long distances in a linear chain if the couplings between qubits are fixed but different. The study focuses on networks where state transfer is achieved through time-evolution under a suitable time-independent Hamiltonian, avoiding external control. The authors also explore the use of the XY coupling and the Heisenberg interaction to achieve perfect state transfer, and discuss the implications for quantum communication and entanglement distribution.The authors propose a class of qubit networks that enable perfect transfer of any quantum state over a fixed period of time, without requiring qubit couplings to be switched on and off. They demonstrate that for $N$-qubit spin networks with identical qubit couplings, the maximal perfect communication distance for hypercube geometries is $2 \log_3 N$. Additionally, they show that perfect state transfer can be achieved over arbitrarily long distances in a linear chain if the couplings between qubits are fixed but different. The study focuses on networks where state transfer is achieved through time-evolution under a suitable time-independent Hamiltonian, avoiding external control. The authors also explore the use of the XY coupling and the Heisenberg interaction to achieve perfect state transfer, and discuss the implications for quantum communication and entanglement distribution.
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Understanding Perfect state transfer in quantum spin networks.