dorsal/arxiv
View SchemaSpin Chains as Perfect Quantum State Mirrors
| Authors | Peter Karbach, Joachim Stolze |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501007 |
| URL | https://arxiv.org/abs/quant-ph/0501007 |
| DOI | 10.1103/PhysRevA.72.030301 |
| Journal | Physical Review A 72, 030301 (R) (2005) |
Abstract
Quantum information transfer is an important part of quantum information processing. Several proposals for quantum information transfer along linear arrays of nearest-neighbor coupled qubits or spins were made recently. Perfect transfer was shown to exist in two models with specifically designed strongly inhomogeneous couplings. We show that perfect transfer occurs in an entire class of chains, including systems whose nearest-neighbor couplings vary only weakly along the chain. The key to these observations is the Jordan-Wigner mapping of spins to noninteracting lattice fermions which display perfectly periodic dynamics if the single-particle energy spectrum is appropriate. After a half-period of that dynamics any state is transformed into its mirror image with respect to the center of the chain. The absence of fermion interactions preserves these features at arbitrary temperature and allows for the transfer of nontrivially entangled states of several spins or qubits.
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"abstract": "Quantum information transfer is an important part of quantum information\nprocessing. Several proposals for quantum information transfer along linear\narrays of nearest-neighbor coupled qubits or spins were made recently. Perfect\ntransfer was shown to exist in two models with specifically designed strongly\ninhomogeneous couplings. We show that perfect transfer occurs in an entire\nclass of chains, including systems whose nearest-neighbor couplings vary only\nweakly along the chain. The key to these observations is the Jordan-Wigner\nmapping of spins to noninteracting lattice fermions which display perfectly\nperiodic dynamics if the single-particle energy spectrum is appropriate. After\na half-period of that dynamics any state is transformed into its mirror image\nwith respect to the center of the chain. The absence of fermion interactions\npreserves these features at arbitrary temperature and allows for the transfer\nof nontrivially entangled states of several spins or qubits.",
"arxiv_id": "quant-ph/0501007",
"authors": [
"Peter Karbach",
"Joachim Stolze"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.030301",
"journal_ref": "Physical Review A 72, 030301 (R) (2005)",
"title": "Spin Chains as Perfect Quantum State Mirrors",
"url": "https://arxiv.org/abs/quant-ph/0501007"
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