dorsal/arxiv
View SchemaPerfect Transfer of Arbitrary States in Quantum Spin Networks
| Authors | Matthias Christandl, Nilanjana Datta, Tony C. Dorlas, Artur Ekert, Alastair Kay, Andrew J. Landahl |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411020 |
| URL | https://arxiv.org/abs/quant-ph/0411020 |
| DOI | 10.1103/PhysRevA.71.032312 |
| Journal | Phys. Rev. A 71, 032312 (2005) |
Abstract
We propose a class of qubit networks that admit perfect state transfer of any two-dimensional quantum state in a fixed period of time. We further show that such networks can distribute arbitrary entangled states between two distant parties, and can, by using such systems in parallel, transmit the higher dimensional systems states across the network. Unlike many other schemes for quantum computation and communication, these networks do not require qubit couplings to be switched on and off. When restricted to $N$-qubit spin networks of identical qubit couplings, we show that $2\log_3 N$ is the maximal perfect communication distance for hypercube geometries. Moreover, if one allows fixed but different couplings between the qubits then perfect state transfer can be achieved over arbitrarily long distances in a linear chain. This paper expands and extends the work done in PRL 92, 187902.
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"abstract": "We propose a class of qubit networks that admit perfect state transfer of any\ntwo-dimensional quantum state in a fixed period of time. We further show that\nsuch networks can distribute arbitrary entangled states between two distant\nparties, and can, by using such systems in parallel, transmit the higher\ndimensional systems states across the network. Unlike many other schemes for\nquantum computation and communication, these networks do not require qubit\ncouplings to be switched on and off. When restricted to $N$-qubit spin networks\nof identical qubit couplings, we show that $2\\log_3 N$ is the maximal perfect\ncommunication distance for hypercube geometries. Moreover, if one allows fixed\nbut different couplings between the qubits then perfect state transfer can be\nachieved over arbitrarily long distances in a linear chain. This paper expands\nand extends the work done in PRL 92, 187902.",
"arxiv_id": "quant-ph/0411020",
"authors": [
"Matthias Christandl",
"Nilanjana Datta",
"Tony C. Dorlas",
"Artur Ekert",
"Alastair Kay",
"Andrew J. Landahl"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.032312",
"journal_ref": "Phys. Rev. A 71, 032312 (2005)",
"title": "Perfect Transfer of Arbitrary States in Quantum Spin Networks",
"url": "https://arxiv.org/abs/quant-ph/0411020"
},
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