Quantum Communication Through an Unmodulated Spin Chain

Quantum Communication Through an Unmodulated Spin Chain

13 Jun 2003 | Sougato Bose
Sougato Bose proposes a scheme for quantum communication using an unmodulated and unmeasured spin chain. The state to be transmitted is placed on one spin of the chain and received later on a distant spin with some fidelity. The fidelity of quantum state transfer and the amount of entanglement sharable between any two sites of an arbitrary Heisenberg ferromagnet are derived. For an open-ended chain with nearest-neighbor interactions, the fidelity is obtained as an inverse discrete cosine transform and a Bessel function series. The scheme allows a qubit to be transmitted with better than classical fidelity across chains of up to 80 spins in a reasonable time. Additionally, the spin-chain channel enables the sharing of distillable entanglement over arbitrarily large distances. The performance of the protocol is evaluated for various chain lengths, showing that the fidelity exceeds 0.9 for chains up to 80 spins. The entanglement sharable is estimated to be of the order \( N^{-1/3} \) for large chains. The scheme can be realized in systems such as Josephson junction arrays, excitons in quantum dots, and real 1D magnets.Sougato Bose proposes a scheme for quantum communication using an unmodulated and unmeasured spin chain. The state to be transmitted is placed on one spin of the chain and received later on a distant spin with some fidelity. The fidelity of quantum state transfer and the amount of entanglement sharable between any two sites of an arbitrary Heisenberg ferromagnet are derived. For an open-ended chain with nearest-neighbor interactions, the fidelity is obtained as an inverse discrete cosine transform and a Bessel function series. The scheme allows a qubit to be transmitted with better than classical fidelity across chains of up to 80 spins in a reasonable time. Additionally, the spin-chain channel enables the sharing of distillable entanglement over arbitrarily large distances. The performance of the protocol is evaluated for various chain lengths, showing that the fidelity exceeds 0.9 for chains up to 80 spins. The entanglement sharable is estimated to be of the order \( N^{-1/3} \) for large chains. The scheme can be realized in systems such as Josephson junction arrays, excitons in quantum dots, and real 1D magnets.
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